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Author : Yves Meyer
Publisher :
ISBN 13 : 9788293175469
Total Pages : 23 pages
Book Rating : 4.1/5 (754 download)
Download or read book Mean-periodic Functions and Irregular Sampling written by Yves Meyer and published by . This book was released on 2018 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Constantin Corduneanu
Publisher : John Wiley & Sons
ISBN 13 : 1119189497
Total Pages : 410 pages
Book Rating : 4.1/5 (191 download)
Download or read book Functional Differential Equations written by Constantin Corduneanu and published by John Wiley & Sons. This book was released on 2016-03-30 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features new results and up-to-date advances in modeling and solving differential equations Introducing the various classes of functional differential equations, Functional Differential Equations: Advances and Applications presents the needed tools and topics to study the various classes of functional differential equations and is primarily concerned with the existence, uniqueness, and estimates of solutions to specific problems. The book focuses on the general theory of functional differential equations, provides the requisite mathematical background, and details the qualitative behavior of solutions to functional differential equations. The book addresses problems of stability, particularly for ordinary differential equations in which the theory can provide models for other classes of functional differential equations, and the stability of solutions is useful for the application of results within various fields of science, engineering, and economics. Functional Differential Equations: Advances and Applications also features: • Discussions on the classes of equations that cannot be solved to the highest order derivative, and in turn, addresses existence results and behavior types • Oscillatory motion and solutions that occur in many real-world phenomena as well as in man-made machines • Numerous examples and applications with a specific focus on ordinary differential equations and functional differential equations with finite delay • An appendix that introduces generalized Fourier series and Fourier analysis after periodicity and almost periodicity • An extensive Bibliography with over 550 references that connects the presented concepts to further topical exploration Functional Differential Equations: Advances and Applications is an ideal reference for academics and practitioners in applied mathematics, engineering, economics, and physics. The book is also an appropriate textbook for graduate- and PhD-level courses in applied mathematics, differential and difference equations, differential analysis, and dynamics processes. CONSTANTIN CORDUNEANU, PhD, is Emeritus Professor in the Department of Mathematics at The University of Texas at Arlington, USA. The author of six books and over 200 journal articles, he is currently Associate Editor for seven journals; a member of the American Mathematical Society, Society for Industrial and Applied Mathematics, and the Romanian Academy; and past president of the American Romanian Academy of Arts and Sciences. YIZENG LI, PhD, is Professor in the Department of Mathematics at Tarrant County College, USA. He is a member of the Society for Industrial and Applied Mathematics. MEHRAN MAHDAVI, PhD, is Professor in the Department of Mathematics at Bowie State University, USA. The author of numerous journal articles, he is a member of the American Mathematical Society, Society for Industrial and Applied Mathematics, and the Mathematical Association of America.
Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111234177
Total Pages : 561 pages
Book Rating : 4.1/5 (112 download)
Download or read book Metrical Almost Periodicity and Applications to Integro-Differential Equations written by Marko Kostić and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-06-06 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of almost periodic functions is a very active field of research for scholars. This research monograph analyzes various classes of multi-dimensional metrically almost periodic type functions with values in complex Banach spaces. We provide many applications of our theoretical results to the abstract Volterra integro-differential inclusions in Banach spaces.
Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110763605
Total Pages : 606 pages
Book Rating : 4.1/5 (17 download)
Download or read book Selected Topics in Almost Periodicity written by Marko Kostić and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-22 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers uniformly recurrent solutions and c-almost periodic solutions of abstract Volterra integro-differential equations as well as various generalizations of almost periodic functions in Lebesgue spaces with variable coefficients. Treats multi-dimensional almost periodic type functions and their generalizations in adequate detail.
Author : Akram Aldroubi
Publisher : Birkhäuser
ISBN 13 : 3319278738
Total Pages : 356 pages
Book Rating : 4.3/5 (192 download)
Download or read book New Trends in Applied Harmonic Analysis written by Akram Aldroubi and published by Birkhäuser. This book was released on 2016-04-21 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing and Multifractal Analysis". New interactions between harmonic analysis and signal and image processing have seen striking development in the last 10 years, and several technological deadlocks have been solved through the resolution of deep theoretical problems in harmonic analysis. New Trends in Applied Harmonic Analysis focuses on two particularly active areas that are representative of such advances: multifractal analysis, and sparse representation and compressed sensing. The contributions are written by leaders in these areas, and cover both theoretical aspects and applications. This work should prove useful not only to PhD students and postdocs in mathematics and signal and image processing, but also to researchers working in related topics.
Author : Michael Baake
Publisher : Cambridge University Press
ISBN 13 : 0521869927
Total Pages : 407 pages
Book Rating : 4.5/5 (218 download)
Download or read book Aperiodic Order written by Michael Baake and published by Cambridge University Press. This book was released on 2013 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second volume in a series exploring the mathematics of aperiodic order. Covers various aspects of crystallography.
Author : Farokh Marvasti
Publisher : Springer Science & Business Media
ISBN 13 : 1461512298
Total Pages : 938 pages
Book Rating : 4.4/5 (615 download)
Download or read book Nonuniform Sampling written by Farokh Marvasti and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 938 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of nature is often through nonuniform observations in space or time. In space, one normally observes the important features of an object, such as edges. The less important features are interpolated. History is a collection of important events that are nonuniformly spaced in time. Historians infer between events (interpolation) and politicians and stock market analysts forecast the future from past and present events (extrapolation). The 20 chapters of Nonuniform Sampling: Theory and Practice contain contributions by leading researchers in nonuniform and Shannon sampling, zero crossing, and interpolation theory. Its practical applications include NMR, seismology, speech and image coding, modulation and coding, optimal content, array processing, and digital filter design. It has a tutorial outlook for practising engineers and advanced students in science, engineering, and mathematics. It is also a useful reference for scientists and engineers working in the areas of medical imaging, geophysics, astronomy, biomedical engineering, computer graphics, digital filter design, speech and video processing, and phased array radar.
Author : Patrick Flandrin
Publisher : Springer Nature
ISBN 13 : 3030458474
Total Pages : 650 pages
Book Rating : 4.0/5 (34 download)
Download or read book Theoretical Physics, Wavelets, Analysis, Genomics written by Patrick Flandrin and published by Springer Nature. This book was released on 2023-05-31 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the course of a scientific career spanning more than fifty years, Alex Grossmann (1930-2019) made many important contributions to a wide range of areas including, among others, mathematics, numerical analysis, physics, genetics, and biology. His lasting influence can be seen not only in his research and numerous publications, but also through the relationships he cultivated with his collaborators and students. This edited volume features chapters written by some of these colleagues, as well as researchers whom Grossmann’s work and way of thinking has impacted in a decisive way. Reflecting the diversity of his interests and their interdisciplinary nature, these chapters explore a variety of current topics in quantum mechanics, elementary particles, and theoretical physics; wavelets and mathematical analysis; and genomics and biology. A scientific biography of Grossmann, along with a more personal biography written by his son, serve as an introduction. Also included are the introduction to his PhD thesis and an unpublished paper coauthored by him. Researchers working in any of the fields listed above will find this volume to be an insightful and informative work.
Author : Michael Baake
Publisher : Cambridge University Press
ISBN 13 : 1108505554
Total Pages : 407 pages
Book Rating : 4.1/5 (85 download)
Download or read book Aperiodic Order: Volume 2, Crystallography and Almost Periodicity written by Michael Baake and published by Cambridge University Press. This book was released on 2017-11-02 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The mathematics that underlies this discovery or that proceeded from it, known as the theory of Aperiodic Order, is the subject of this comprehensive multi-volume series. This second volume begins to develop the theory in more depth. A collection of leading experts, among them Robert V. Moody, cover various aspects of crystallography, generalising appropriately from the classical case to the setting of aperiodically ordered structures. A strong focus is placed upon almost periodicity, a central concept of crystallography that captures the coherent repetition of local motifs or patterns, and its close links to Fourier analysis. The book opens with a foreword by Jeffrey C. Lagarias on the wider mathematical perspective and closes with an epilogue on the emergence of quasicrystals, written by Peter Kramer, one of the founders of the field.
Author : Jean Delsarte
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lectures on Topics in Mean Periodic Functions and the Two-radius Theorem written by Jean Delsarte and published by . This book was released on 1961 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sirakov Boyan
Publisher : World Scientific
ISBN 13 : 9813272899
Total Pages : 5396 pages
Book Rating : 4.8/5 (132 download)
Download or read book Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) written by Sirakov Boyan and published by World Scientific. This book was released on 2019-02-27 with total page 5396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Author : Han-lin Chen
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (16 download)
Download or read book Asymptotically Optimal Sampling Schemes for Periodic Functions II written by Han-lin Chen and published by . This book was released on 1989 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: We continue with the theme studied in [DMS] and examine certain questions pertaining to best methods to recover classes of periodic functions from function evaluations. The main feature that distinguishes this work from [DMS] is that we are concerned with functions of more than one variable, and this leads us to difficulties not encountered in [DMS]. We treat periodic function classes similar to those studied in [DMS], which, because of their greater generality, include those bivariate spaces appearing in [W]. Nevertheless, we follow [W] and [D,DP,BD] and show how blending interpolation operators yield better error estimates for function evaluations than the available tensor product methods. Surprisingly, however, we will also demonstrate that tensor products of equally spaced sampling schemes are optimal in a wide variety of cases. Outstanding unresolved problems remain in determining optimal sampling schemes even for standard spaces of periodic functions. This will be mentioned at the end of the paper.
Author : Robert J.II Marks
Publisher : Springer Science & Business Media
ISBN 13 : 146139757X
Total Pages : 364 pages
Book Rating : 4.4/5 (613 download)
Download or read book Advanced Topics in Shannon Sampling and Interpolation Theory written by Robert J.II Marks and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Topics in Shannon Sampling and Interpolation Theory is the second volume of a textbook on signal analysis solely devoted to the topic of sampling and restoration of continuous time signals and images. Sampling and reconstruction are fundamental problems in any field that deals with real-time signals or images, including communication engineering, image processing, seismology, speech recognition, and digital signal processing. This second volume includes contributions from leading researchers in the field on such topics as Gabor's signal expansion, sampling in optical image formation, linear prediction theory, polar and spiral sampling theory, interpolation from nonuniform samples, an extension of Papoulis's generalized sampling expansion to higher dimensions, and applications of sampling theory to optics and to time-frequency representations. The exhaustive bibliography on Shannon sampling theory will make this an invaluable research tool as well as an excellent text for students planning further research in the field.
Author : Motohisa Hirano
Publisher : John Wiley & Sons
ISBN 13 : 3527665013
Total Pages : 321 pages
Book Rating : 4.5/5 (276 download)
Download or read book Friction at the Atomic Level written by Motohisa Hirano and published by John Wiley & Sons. This book was released on 2017-11-22 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by one of the most distinguished scientists and a pioneer in this field, this monograph represents a stand-alone, concise guide to friction at the atomic level. It brings together hitherto widely-scattered information in one single source, and is the first to explain the nature of friction in terms of atomistic mechanisms. In addition to his detailed description on modeling and simulation, the author stresses experimental approaches like AFM (Atomic Force Microscope) techniques for verification of theory. In this respect the book will benefit the whole nanotribology community, from graduate students who want to get the basics right up to researchers specializing in mechanical engineering, materials science, physics and chemistry.
Author : Christopher Heil
Publisher : Springer Science & Business Media
ISBN 13 : 0817645047
Total Pages : 390 pages
Book Rating : 4.8/5 (176 download)
Download or read book Harmonic Analysis and Applications written by Christopher Heil and published by Springer Science & Business Media. This book was released on 2007-08-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained volume in honor of John J. Benedetto covers a wide range of topics in harmonic analysis and related areas. These include weighted-norm inequalities, frame theory, wavelet theory, time-frequency analysis, and sampling theory. The chapters are clustered by topic to provide authoritative expositions that will be of lasting interest. The original papers collected are written by prominent researchers and professionals in the field. The book pays tribute to John J. Benedetto’s achievements and expresses an appreciation for the mathematical and personal inspiration he has given to so many students, co-authors, and colleagues.
Author : CHUI
Publisher : Birkhäuser
ISBN 13 : 3034872984
Total Pages : 348 pages
Book Rating : 4.0/5 (348 download)
Download or read book Multivariate Approximation Theory IV written by CHUI and published by Birkhäuser. This book was released on 2013-03-08 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate Approximation Theory forms a rapidly evolving field in Applied Mathematics. The reason for its particular current interest lies in its impact on Computer Aided Geometric Design (CAGD), Image Processing, Pattern Recogni tion, and Mult idimensional Signal Processing. Mul ti var iate Bernstein polynomials and box splines, for example, play an important role in CAGD. Conversely, the highly important filter bank design problem of signal processing, for instance, gives rise to a new family of multivariate approximating functions, the Gabor wavelets, with interesting technological and biological applications. The conferences on Multivariate Approximation Theory held at the Mathematical Research Institute at Oberwolfach, Black Forest, in 1976, 1979, 1982, 1985 and 1989 ref lect the progress made in this area and related fie Ids. The present volume which is a continuation of the preceding volumes Constructive Theory of Functions of Several Variables, Lecture Notes in Mathematics 571 (1977) Multivariate Approximation Theory, ISNM 51 (1979) Multivariate Approximation Theory II, ISNM 61 (1982) Multivariate Approximation Theory III, ISNM 75 (1985) is based on the conference held on February 12-18, 1989. It includes most of the lectures presented at the Oberwolfach meeting and reveals the wide spectrum of activities in the field of multivariate approximation. The organizers are grateful to the Director of the Oberwolfach Mathematical Research Institute, Professor Dr. M. Barner, and his staff for providing the facili ties, and to Dr. G. Baszenski, Professor Dr. F. J. Delvos, Dr. H.
Author : Yehoshua Zeevi
Publisher : Academic Press
ISBN 13 : 0080541178
Total Pages : 603 pages
Book Rating : 4.0/5 (85 download)
Download or read book Signal and Image Representation in Combined Spaces written by Yehoshua Zeevi and published by Academic Press. This book was released on 1998-02-09 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explains how the recent advances in wavelet analysis provide new means for multiresolution analysis and describes its wide array of powerful tools. The book covers variations of the windowed Fourier transform, constructions of special waveforms suitable for specific tasks, the use of redundant representations in reconstruction and enhancement, applications of efficient numerical compression as a tool for fast numerical analysis, and approximation properties of various waveforms in different contexts.
