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Author : I. Peral
Publisher : Elsevier
ISBN 13 : 0080872220
Total Pages : 275 pages
Book Rating : 4.0/5 (88 download)
Download or read book Recent Progress in Fourier Analysis written by I. Peral and published by Elsevier. This book was released on 1985-01-01 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent Progress in Fourier Analysis
Author : J.S. Byrnes
Publisher : Springer Science & Business Media
ISBN 13 : 940090665X
Total Pages : 675 pages
Book Rating : 4.4/5 (9 download)
Download or read book Recent Advances in Fourier Analysis and Its Applications written by J.S. Byrnes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers presented at the July, 1989 NATO Advanced Study Institute on Fourier Analysis and its Applications. The conference, held at the beautiful II Ciocco resort near Lucca, in the glorious Tuscany region of northern Italy, created a dynamic in teraction between world-renowned scientists working in the usually disparate communities of pure and applied Fourier analysts. The papers to be found herein include important new results in x-ray crystallography by Nobel Laureate Herbert Hauptman, the application of the new concept of bispectrum to system identification by renowned probabilist Athanasios Papoulis, fascinating appli cations of number theory in Fourier analysis by eminent electrical engineer Manfred R. Schroeder, and exciting concepts regarding polynomials with restricted coefficients by foremost mathematical problem solver Donald J. Newman. The remaining papers further illustrate the inherent power and beauty of classical Fourier analysis, whether the results presented were sought as an end in themselves, or whether these classical methods were employed as a tool in illustrating and solving a particular applied problem. From antenna design to concert hall acoustics to image and speech processing to unimodular polynomi als, each conference participant benefited significantly from his or her exposure, in many cases for the first time, to those scientists on the other end of the spectrum from them selves. The purpose of this volume is to pass those benefits on to the reader.
Author : Ireneo Peral
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (859 download)
Download or read book Recent progress in Fourier analysis : proceedings of the Seminar on Fourier Analysis held in El Escorial, Spain, June 30-July 5, 1983 written by Ireneo Peral and published by . This book was released on 1985 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luca Brandolini
Publisher : Springer Science & Business Media
ISBN 13 : 9780817632632
Total Pages : 288 pages
Book Rating : 4.6/5 (326 download)
Download or read book Fourier Analysis and Convexity written by Luca Brandolini and published by Springer Science & Business Media. This book was released on 2004-08-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores relationship between Fourier Analysis, convex geometry, and related areas; in the past, study of this relationship has led to important mathematical advances Presents new results and applications to diverse fields such as geometry, number theory, and analysis Contributors are leading experts in their respective fields Will be of interest to both pure and applied mathematicians
Author : Radomir S. Stankovic
Publisher : John Wiley & Sons
ISBN 13 : 0471745421
Total Pages : 230 pages
Book Rating : 4.4/5 (717 download)
Download or read book Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design written by Radomir S. Stankovic and published by John Wiley & Sons. This book was released on 2005-08-08 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover applications of Fourier analysis on finite non-Abeliangroups The majority of publications in spectral techniques considerFourier transform on Abelian groups. However, non-Abelian groupsprovide notable advantages in efficient implementations of spectralmethods. Fourier Analysis on Finite Groups with Applications in SignalProcessing and System Design examines aspects of Fourieranalysis on finite non-Abelian groups and discusses differentmethods used to determine compact representations for discretefunctions providing for their efficient realizations and relatedapplications. Switching functions are included as an example ofdiscrete functions in engineering practice. Additionally,consideration is given to the polynomial expressions and decisiondiagrams defined in terms of Fourier transform on finitenon-Abelian groups. A solid foundation of this complex topic is provided bybeginning with a review of signals and their mathematical modelsand Fourier analysis. Next, the book examines recent achievementsand discoveries in: Matrix interpretation of the fast Fourier transform Optimization of decision diagrams Functional expressions on quaternion groups Gibbs derivatives on finite groups Linear systems on finite non-Abelian groups Hilbert transform on finite groups Among the highlights is an in-depth coverage of applications ofabstract harmonic analysis on finite non-Abelian groups in compactrepresentations of discrete functions and related tasks in signalprocessing and system design, including logic design. All chaptersare self-contained, each with a list of references to facilitatethe development of specialized courses or self-study. With nearly 100 illustrative figures and fifty tables, this isan excellent textbook for graduate-level students and researchersin signal processing, logic design, and system theory-as well asthe more general topics of computer science and appliedmathematics.
Author : Loukas Grafakos
Publisher : Springer Science & Business Media
ISBN 13 : 0387094326
Total Pages : 494 pages
Book Rating : 4.3/5 (87 download)
Download or read book Classical Fourier Analysis written by Loukas Grafakos and published by Springer Science & Business Media. This book was released on 2008-09-18 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc...), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc...). From a review of the first edition: “Grafakos’s book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Morever, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises.” - Ken Ross, MAA Online
Author : Gerlind Plonka
Publisher : Springer
ISBN 13 : 3030043061
Total Pages : 618 pages
Book Rating : 4.0/5 (3 download)
Download or read book Numerical Fourier Analysis written by Gerlind Plonka and published by Springer. This book was released on 2019-02-05 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unified presentation of Fourier theory and corresponding algorithms emerging from new developments in function approximation using Fourier methods. It starts with a detailed discussion of classical Fourier theory to enable readers to grasp the construction and analysis of advanced fast Fourier algorithms introduced in the second part, such as nonequispaced and sparse FFTs in higher dimensions. Lastly, it contains a selection of numerical applications, including recent research results on nonlinear function approximation by exponential sums. The code of most of the presented algorithms is available in the authors’ public domain software packages. Students and researchers alike benefit from this unified presentation of Fourier theory and corresponding algorithms.
Author : Loukas Grafakos
Publisher : Springer Science & Business Media
ISBN 13 : 0387094342
Total Pages : 517 pages
Book Rating : 4.3/5 (87 download)
Download or read book Modern Fourier Analysis written by Loukas Grafakos and published by Springer Science & Business Media. This book was released on 2009-04-28 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The great response to the publication of the book Classical and Modern Fourier Analysishasbeenverygratifying.IamdelightedthatSpringerhasofferedtopublish the second edition of this book in two volumes: Classical Fourier Analysis, 2nd Edition, and Modern Fourier Analysis, 2nd Edition. These volumes are mainly addressed to graduate students who wish to study Fourier analysis. This second volume is intended to serve as a text for a seco- semester course in the subject. It is designed to be a continuation of the rst v- ume. Chapters 1–5 in the rst volume contain Lebesgue spaces, Lorentz spaces and interpolation, maximal functions, Fourier transforms and distributions, an introd- tion to Fourier analysis on the n-torus, singular integrals of convolution type, and Littlewood–Paley theory. Armed with the knowledgeof this material, in this volume,the reader encounters more advanced topics in Fourier analysis whose development has led to important theorems. These theorems are proved in great detail and their proofs are organized to present the ow of ideas. The exercises at the end of each section enrich the material of the corresponding section and provide an opportunity to develop ad- tional intuition and deeper comprehension. The historical notes in each chapter are intended to provide an account of past research but also to suggest directions for further investigation. The auxiliary results referred to the appendix can be located in the rst volume.
Author : Janos Mink
Publisher : Springer Science & Business Media
ISBN 13 : 3709168406
Total Pages : 742 pages
Book Rating : 4.7/5 (91 download)
Download or read book Progress in Fourier Transform Spectroscopy written by Janos Mink and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: 19 plenary lectures and 203 poster papers presented at the 10th International Conference of Fourier Transform Spectroscopy in Budapest 1995 give an overview on the state-of-the art of this technology and its wide range of applications. The reader will get information on any aspects of FTS including the latest instrumental developments, e.g. in diode array detection, time resolution FTS, microscopy and spectral mapping, double modulation and two-dimensional FTS.
Author : Javier Duoandikoetxea Zuazo
Publisher : American Mathematical Soc.
ISBN 13 : 9780821883846
Total Pages : 248 pages
Book Rating : 4.8/5 (838 download)
Download or read book Fourier Analysis written by Javier Duoandikoetxea Zuazo and published by American Mathematical Soc.. This book was released on 2001-01-01 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier analysis encompasses a variety of perspectives and techniques. This volume presents the real variable methods of Fourier analysis introduced by Calderón and Zygmund. The text was born from a graduate course taught at the Universidad Autonoma de Madrid and incorporates lecture notes from a course taught by José Luis Rubio de Francia at the same university. Motivated by the study of Fourier series and integrals, classical topics are introduced, such as the Hardy-Littlewood maximal function and the Hilbert transform. The remaining portions of the text are devoted to the study of singular integral operators and multipliers. Both classical aspects of the theory and more recent developments, such as weighted inequalities, H1, BMO spaces, and the T1 theorem, are discussed. Chapter 1 presents a review of Fourier series and integrals; Chapters 2 and 3 introduce two operators that are basic to the field: the Hardy-Littlewood maximal function and the Hilbert transform in higher dimensions. Chapters 4 and 5 discuss singular integrals, including modern generalizations. Chapter 6 studies the relationship between H1, BMO, and singular integrals; Chapter 7 presents the elementary theory of weighted norm inequalities. Chapter 8 discusses Littlewood-Paley theory, which had developments that resulted in a number of applications. The final chapter concludes with an important result, the T1 theorem, which has been of crucial importance in the field. This volume has been updated and translated from the original Spanish edition (1995). Minor changes have been made to the core of the book; however, the sections, "Notes and Further Results" have been considerably expanded and incorporate new topics, results, and references. It is geared toward graduate students seeking a concise introduction to the main aspects of the classical theory of singular operators and multipliers. Prerequisites include basic knowledge in Lebesgue integrals and functional analysis.
Author : H.N. Kritikos
Publisher : Springer Science & Business Media
ISBN 13 : 1461233305
Total Pages : 404 pages
Book Rating : 4.4/5 (612 download)
Download or read book Recent Advances in Electromagnetic Theory written by H.N. Kritikos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions of this book represent only a small sample of the work of the many researcher electromagneticians who have had the pleasure of being associated with Professor Papas, either as students or as colleagues. Many of us continue to work in the many and diverse areas that modem electro magnetism encompasses. There is, however, a common thread that was derived from our association with Professor Papas that has greatly influenced our thinking and technical style of expression. Professor Papas, from his studies at Harvard, brought with him to Pasadena a very fundamental and classical point of view that was instilled in all those who were associated with him. He saw research problems as a combination offundamental physical and mathematical principles and the electromagnetic "reality. " He searched and demanded clarity and often, in the rather involved and engaging discussions which took place in his office, he demanded that the "baby picture" be clearly drawn on the blackboard. This requirement, certainly for some of us who were working in widely varied subjects ranging from relativistic plasmas to almost periodic media, has forced us to reexamine the fundamentals. The clear and lucid marriage of fundamental concepts to applications has been the trademark of Professor Papas's intellectual tradition, and has greatly in fluenced the thinking of all of those who have associated with him.
Author : Goran Nikolic
Publisher : BoD – Books on Demand
ISBN 13 : 9535128930
Total Pages : 264 pages
Book Rating : 4.5/5 (351 download)
Download or read book Fourier Transforms written by Goran Nikolic and published by BoD – Books on Demand. This book was released on 2017-02-08 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to provide a modern review about recent advances in Fourier transforms as the most powerful analytical tool for high-tech application in electrical, electronic, and computer engineering, as well as Fourier transform spectral techniques with a wide range of biological, biomedical, biotechnological, pharmaceutical, and nanotechnological applications. The confluence of Fourier transform methods with high tech opens new opportunities for detection and handling of atoms and molecules using nanodevices, with potential for a large variety of scientific and technological applications.
Author : S. Allen Broughton
Publisher : John Wiley & Sons
ISBN 13 : 1119258235
Total Pages : 468 pages
Book Rating : 4.1/5 (192 download)
Download or read book Discrete Fourier Analysis and Wavelets written by S. Allen Broughton and published by John Wiley & Sons. This book was released on 2018-03-19 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delivers an appropriate mix of theory and applications to help readers understand the process and problems of image and signal analysis Maintaining a comprehensive and accessible treatment of the concepts, methods, and applications of signal and image data transformation, this Second Edition of Discrete Fourier Analysis and Wavelets: Applications to Signal and Image Processing features updated and revised coverage throughout with an emphasis on key and recent developments in the field of signal and image processing. Topical coverage includes: vector spaces, signals, and images; the discrete Fourier transform; the discrete cosine transform; convolution and filtering; windowing and localization; spectrograms; frames; filter banks; lifting schemes; and wavelets. Discrete Fourier Analysis and Wavelets introduces a new chapter on frames—a new technology in which signals, images, and other data are redundantly measured. This redundancy allows for more sophisticated signal analysis. The new coverage also expands upon the discussion on spectrograms using a frames approach. In addition, the book includes a new chapter on lifting schemes for wavelets and provides a variation on the original low-pass/high-pass filter bank approach to the design and implementation of wavelets. These new chapters also include appropriate exercises and MATLAB® projects for further experimentation and practice. Features updated and revised content throughout, continues to emphasize discrete and digital methods, and utilizes MATLAB® to illustrate these concepts Contains two new chapters on frames and lifting schemes, which take into account crucial new advances in the field of signal and image processing Expands the discussion on spectrograms using a frames approach, which is an ideal method for reconstructing signals after information has been lost or corrupted (packet erasure) Maintains a comprehensive treatment of linear signal processing for audio and image signals with a well-balanced and accessible selection of topics that appeal to a diverse audience within mathematics and engineering Focuses on the underlying mathematics, especially the concepts of finite-dimensional vector spaces and matrix methods, and provides a rigorous model for signals and images based on vector spaces and linear algebra methods Supplemented with a companion website containing solution sets and software exploration support for MATLAB and SciPy (Scientific Python) Thoroughly class-tested over the past fifteen years, Discrete Fourier Analysis and Wavelets: Applications to Signal and Image Processing is an appropriately self-contained book ideal for a one-semester course on the subject.
Author : Dongyuan Zhao
Publisher : Elsevier
ISBN 13 : 0080475280
Total Pages : 957 pages
Book Rating : 4.0/5 (84 download)
Download or read book Recent Progress in Mesostructured Materials written by Dongyuan Zhao and published by Elsevier. This book was released on 2007-03-22 with total page 957 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent Progress in Mesostructured Materials is a selection of oral and poster communications presented during the 5th International Mesostructured Materials Symposium (5th IMMS2006). Authorized by International Mesostructured Material Association (IMMA) and hosted by the Fudan University, China. The scope of this involved field covers both traditional inorganic mesostructured molecular sieves and mesostructured materials like organic polymers, metals, organic-inorganic nanocomposites, and ordered mesoporous carbons, the hot topics in chemistry, crystallization, structure, liquid crystalline, catalysis and materials science. This symposium provided a forum for the presentation of the most novel development and knowledge in the science and technology of mesostructured materials. Papers presented cover a wide range of topics that include synthesis, structure determination, characterisation, modelling, and application in catalysis, adsorption, biochemistry and advanced material sciences. * This highly visual book is a must for readers looking to stay up-to-date on mesostructure science* A selection of more than 200 oral and poster papers, covering research aspects/developing trends of mesostructured materials * An important reference for those working in the material science, catalysis and biotechnology fields
Author : Loukas Grafakos
Publisher : Springer
ISBN 13 : 1493912305
Total Pages : 636 pages
Book Rating : 4.4/5 (939 download)
Download or read book Modern Fourier Analysis written by Loukas Grafakos and published by Springer. This book was released on 2014-11-13 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is aimed at graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis. The text covers modern topics and techniques in function spaces, atomic decompositions, singular integrals of nonconvolution type and the boundedness and convergence of Fourier series and integrals. The exposition and style are designed to stimulate further study and promote research. Historical information and references are included at the end of each chapter. This third edition includes a new chapter entitled "Multilinear Harmonic Analysis" which focuses on topics related to multilinear operators and their applications. Sections 1.1 and 1.2 are also new in this edition. Numerous corrections have been made to the text from the previous editions and several improvements have been incorporated, such as the adoption of clear and elegant statements. A few more exercises have been added with relevant hints when necessary.
Author : Srikanta Patnaik
Publisher : Springer Nature
ISBN 13 : 9811502382
Total Pages : 892 pages
Book Rating : 4.8/5 (115 download)
Download or read book Recent Developments in Mechatronics and Intelligent Robotics written by Srikanta Patnaik and published by Springer Nature. This book was released on 2020-03-04 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers selected papers presented at the Third International Conference on Mechatronics and Intelligent Robotics (ICMIR 2019), held in Kunming, China, on May 25–26, 2019. The proceedings cover new findings in the following areas of research: mechatronics, intelligent mechatronics, robotics and biomimetics; novel and unconventional mechatronic systems; modeling and control of mechatronic systems; elements, structures and mechanisms of micro- and nano-systems; sensors, wireless sensor networks and multi-sensor data fusion; biomedical and rehabilitation engineering, prosthetics and artificial organs; artificial intelligence (AI), neural networks and fuzzy logic in mechatronics and robotics; industrial automation, process control and networked control systems; telerobotics and human–computer interaction; human–robot interaction; robotics and artificial intelligence; bio-inspired robotics; control algorithms and control systems; design theories and principles; evolutional robotics; field robotics; force sensors, accelerometers and other measuring devices; healthcare robotics; kinematics and dynamics analysis; manufacturing robotics; mathematical and computational methodologies in robotics; medical robotics; parallel robots and manipulators; robotic cognition and emotion; robotic perception and decisions; sensor integration, fusion and perception; and social robotics.
Author : Werner Haussmann
Publisher : Springer Science & Business Media
ISBN 13 : 9783764365059
Total Pages : 668 pages
Book Rating : 4.3/5 (65 download)
Download or read book Recent Progress in Multivariate Approximation written by Werner Haussmann and published by Springer Science & Business Media. This book was released on 2001 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the main results of the 4th International Conference on Multivariate Approximation, which was held at Witten-Bommerholz, September 24-29, 2000. Nineteen selected, peer-reviewed contributions cover recent topics in constructive approximation on varieties, approximation by solutions of partial differential equations, application of Riesz bases and frames, multiwavelets and subdivision. Features and Topics: interpolation and approximation on compact sets, kergin interpolationerror asymptoticsradial basis functionsenergy minimizing configurations on the spherequadrature and cubature formulaeharmonic functions near a zeroblending functionsframes and approximation of inverse frame operators The book is an essential resource for researchers and graduates in applied mathematics, computer science and geophysics who are interested in the state-of-the-art developments in multivariate approximation.
