Soc Functions And Their Applications

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SOC Functions and Their Applications

Author : Jein-Shan Chen
Publisher : Springer
ISBN 13 : 9811340773
Total Pages : 213 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis SOC Functions and Their Applications by : Jein-Shan Chen

Download or read book SOC Functions and Their Applications written by Jein-Shan Chen and published by Springer. This book was released on 2019-02-11 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers all of the concepts required to tackle second-order cone programs (SOCPs), in order to provide the reader a complete picture of SOC functions and their applications. SOCPs have attracted considerable attention, due to their wide range of applications in engineering, data science, and finance. To deal with this special group of optimization problems involving second-order cones (SOCs), we most often need to employ the following crucial concepts: (i) spectral decomposition associated with SOCs, (ii) analysis of SOC functions, and (iii) SOC-convexity and -monotonicity. Moreover, we can roughly classify the related algorithms into two categories. One category includes traditional algorithms that do not use complementarity functions. Here, SOC-convexity and SOC-monotonicity play a key role. In contrast, complementarity functions are employed for the other category. In this context, complementarity functions are closely related to SOC functions; consequently, the analysis of SOC functions can help with these algorithms.

Special Functions & Their Applications

Author : N. N. Lebedev
Publisher : Courier Corporation
ISBN 13 : 0486139891
Total Pages : 340 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Special Functions & Their Applications by : N. N. Lebedev

Download or read book Special Functions & Their Applications written by N. N. Lebedev and published by Courier Corporation. This book was released on 2012-04-30 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Famous Russian work discusses the application of cylinder functions and spherical harmonics; gamma function; probability integral and related functions; Airy functions; hyper-geometric functions; more. Translated by Richard Silverman.

Integral Transforms of Generalized Functions and Their Applications

Author : Ram Shankar Pathak
Publisher : Routledge
ISBN 13 : 1351562681
Total Pages : 436 pages
Book Rating : 4.3/5 (515 download)

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Book Synopsis Integral Transforms of Generalized Functions and Their Applications by : Ram Shankar Pathak

Download or read book Integral Transforms of Generalized Functions and Their Applications written by Ram Shankar Pathak and published by Routledge. This book was released on 2017-07-05 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: For those who have a background in advanced calculus, elementary topology and functional analysis - from applied mathematicians and engineers to physicists - researchers and graduate students alike - this work provides a comprehensive analysis of the many important integral transforms and renders particular attention to all of the technical aspects of the subject. The author presents the last two decades of research and includes important results from other works.

Convex Functions and Their Applications

Author : Constantin P. Niculescu
Publisher : Springer
ISBN 13 : 3319783378
Total Pages : 430 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Convex Functions and Their Applications by : Constantin P. Niculescu

Download or read book Convex Functions and Their Applications written by Constantin P. Niculescu and published by Springer. This book was released on 2018-06-08 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thorough introduction to an important area of mathematics Contains recent results Includes many exercises

Lectures on Functional Equations and Their Applications

Author : J. Aczél
Publisher : Academic Press
ISBN 13 : 0080955258
Total Pages : 534 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Lectures on Functional Equations and Their Applications by : J. Aczél

Download or read book Lectures on Functional Equations and Their Applications written by J. Aczél and published by Academic Press. This book was released on 1966-01-01 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous detailed proofs highlight this treatment of functional equations. Starting with equations that can be solved by simple substitutions, the book then moves to equations with several unknown functions and methods of reduction to differential and integral equations. Also includes composite equations, equations with several unknown functions of several variables, vector and matrix equations, more. 1966 edition.

Orthogonal Rational Functions

Author : Adhemar Bultheel
Publisher : Cambridge University Press
ISBN 13 : 0521650062
Total Pages : 423 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Orthogonal Rational Functions by : Adhemar Bultheel

Download or read book Orthogonal Rational Functions written by Adhemar Bultheel and published by Cambridge University Press. This book was released on 1999-02-13 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book generalises the classical theory of orthogonal polynomials on the complex unit circle, or on the real line to orthogonal rational functions whose poles are among a prescribed set of complex numbers. The first part treats the case where these poles are all outside the unit disk or in the lower half plane. Classical topics such as recurrence relations, numerical quadrature, interpolation properties, Favard theorems, convergence, asymptotics, and moment problems are generalised and treated in detail. The same topics are discussed for the different situation where the poles are located on the unit circle or on the extended real line. In the last chapter, several applications are mentioned including linear prediction, Pisarenko modelling, lossless inverse scattering, and network synthesis. This theory has many applications in theoretical real and complex analysis, approximation theory, numerical analysis, system theory, and in electrical engineering.

Integral Transforms and Their Applications

Author : Lokenath Debnath
Publisher : CRC Press
ISBN 13 : 1420010913
Total Pages : 723 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Integral Transforms and Their Applications by : Lokenath Debnath

Download or read book Integral Transforms and Their Applications written by Lokenath Debnath and published by CRC Press. This book was released on 2016-04-19 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: Keeping the style, content, and focus that made the first edition a bestseller, Integral Transforms and their Applications, Second Edition stresses the development of analytical skills rather than the importance of more abstract formulation. The authors provide a working knowledge of the analytical methods required in pure and applied mathematics, physics, and engineering. The second edition includes many new applications, exercises, comments, and observations with some sections entirely rewritten. It contains more than 500 worked examples and exercises with answers as well as hints to selected exercises. The most significant changes in the second edition include: New chapters on fractional calculus and its applications to ordinary and partial differential equations, wavelets and wavelet transformations, and Radon transform Revised chapter on Fourier transforms, including new sections on Fourier transforms of generalized functions, Poissons summation formula, Gibbs phenomenon, and Heisenbergs uncertainty principle A wide variety of applications has been selected from areas of ordinary and partial differential equations, integral equations, fluid mechanics and elasticity, mathematical statistics, fractional ordinary and partial differential equations, and special functions A broad spectrum of exercises at the end of each chapter further develops analytical skills in the theory and applications of transform methods and a deeper insight into the subject A systematic mathematical treatment of the theory and method of integral transforms, the book provides a clear understanding of the subject and its varied applications in mathematics, applied mathematics, physical sciences, and engineering.

Reproducing Kernels and their Applications

Author : S. Saitoh
Publisher : Springer Science & Business Media
ISBN 13 : 1475729871
Total Pages : 235 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Reproducing Kernels and their Applications by : S. Saitoh

Download or read book Reproducing Kernels and their Applications written by S. Saitoh and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The First International Congress of the International Society for Analysis, its Applications and Computations (ISAAC'97) was held at the University of Delaware from 3 to 7 June 1997. As specified in the invitation of the President Professor Robert P. Gilbert of the ISAAC, we organized the session on Reproducing Kerneis and Their Applications. In our session, we presented 24 engaging talks on topics of current interest to the research community. As suggested and organized by Professor Gilbert, we hereby publish its Proceedings. Rather than restricting the papers to Congress participants, we asked the Ieading mathematicians in the field of the theory of reproducing kern eIs to submit papers. However, due to time restrietions and a compulsion to limit the Proceedings a reasonable size, we were unable to obtain a comprehensive treatment of the theory of reproducing kernels. Nevertheless, we hope this Proceedings of the First International Conference on reproducing kerneis will become a significant reference volume. Indeed, we believe that the theory of reproducing kernels will stand out as a fundamental and beautiful contribution in mathematical sciences with a broad array of applications to other areas of mathematics and science. We would like to thank Professor Robert Gilbert for his substantial contri bu tions to the Congress and to our Proceedings. We also express our sincere thanks to the staff of the University of Delaware for their manifold cooperation in organizing the Congress.

Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science

Author : Isaac Pesenson
Publisher : Birkhäuser
ISBN 13 : 3319555561
Total Pages : 512 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science by : Isaac Pesenson

Download or read book Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science written by Isaac Pesenson and published by Birkhäuser. This book was released on 2017-08-09 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science. The chapters within cover an impressive range of ideas from both traditional and modern harmonic analysis, such as: the Fourier transform, Shannon sampling, frames, wavelets, functions on Euclidean spaces, analysis on function spaces of Riemannian and sub-Riemannian manifolds, Fourier analysis on manifolds and Lie groups, analysis on combinatorial graphs, sheaves, co-sheaves, and persistent homologies on topological spaces. Volume II is organized around the theme of recent applications of harmonic analysis to function spaces, differential equations, and data science, covering topics such as: The classical Fourier transform, the non-linear Fourier transform (FBI transform), cardinal sampling series and translation invariant linear systems. Recent results concerning harmonic analysis on non-Euclidean spaces such as graphs and partially ordered sets. Applications of harmonic analysis to data science and statistics Boundary-value problems for PDE's including the Runge–Walsh theorem for the oblique derivative problem of physical geodesy.

Topological Vector Spaces and Their Applications

Author : V.I. Bogachev
Publisher : Springer
ISBN 13 : 3319571176
Total Pages : 466 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Topological Vector Spaces and Their Applications by : V.I. Bogachev

Download or read book Topological Vector Spaces and Their Applications written by V.I. Bogachev and published by Springer. This book was released on 2017-05-16 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. Overall, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces. The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis.

Potential Functions of Random Walks in Z with Infinite Variance

Author : Kôhei Uchiyama
Publisher : Springer Nature
ISBN 13 : 3031410203
Total Pages : 277 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Potential Functions of Random Walks in Z with Infinite Variance by : Kôhei Uchiyama

Download or read book Potential Functions of Random Walks in Z with Infinite Variance written by Kôhei Uchiyama and published by Springer Nature. This book was released on 2023 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the potential functions of one-dimensional recurrent random walks on the lattice of integers with step distribution of infinite variance. The central focus is on obtaining reasonably nice estimates of the potential function. These estimates are then applied to various situations, yielding precise asymptotic results on, among other things, hitting probabilities of finite sets, overshoot distributions, Green functions on long finite intervals and the half-line, and absorption probabilities of two-sided exit problems. The potential function of a random walk is a central object in fluctuation theory. If the variance of the step distribution is finite, the potential function has a simple asymptotic form, which enables the theory of recurrent random walks to be described in a unified way with rather explicit formulae. On the other hand, if the variance is infinite, the potential function behaves in a wide range of ways depending on the step distribution, which the asymptotic behaviour of many functionals of the random walk closely reflects. In the case when the step distribution is attracted to a strictly stable law, aspects of the random walk have been intensively studied and remarkable results have been established by many authors. However, these results generally do not involve the potential function, and important questions still need to be answered. In the case where the random walk is relatively stable, or if one tail of the step distribution is negligible in comparison to the other on average, there has been much less work. Some of these unsettled problems have scarcely been addressed in the last half-century. As revealed in this treatise, the potential function often turns out to play a significant role in their resolution. Aimed at advanced graduate students specialising in probability theory, this book will also be of interest to researchers and engineers working with random walks and stochastic systems.

Catalogue of Scientific Papers

Author : Royal Society (Great Britain)
Publisher :
ISBN 13 :
Total Pages : 788 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Catalogue of Scientific Papers by : Royal Society (Great Britain)

Download or read book Catalogue of Scientific Papers written by Royal Society (Great Britain) and published by . This book was released on 1872 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integral and Discrete Inequalities and Their Applications

Author : Yuming Qin
Publisher : Birkhäuser
ISBN 13 : 3319333011
Total Pages : 1000 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Integral and Discrete Inequalities and Their Applications by : Yuming Qin

Download or read book Integral and Discrete Inequalities and Their Applications written by Yuming Qin and published by Birkhäuser. This book was released on 2016-10-08 with total page 1000 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on one- and multi-dimensional linear integral and discrete Gronwall-Bellman type inequalities. It provides a useful collection and systematic presentation of known and new results, as well as many applications to differential (ODE and PDE), difference, and integral equations. With this work the author fills a gap in the literature on inequalities, offering an ideal source for researchers in these topics. The present volume is part 1 of the author’s two-volume work on inequalities. Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral equations.

Catalogue of Scientific Papers (1800-1900): ser. 4 , 1884-1900

Author : Royal Society (Great Britain)
Publisher :
ISBN 13 :
Total Pages : 1064 pages
Book Rating : 4.:/5 (32 download)

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Book Synopsis Catalogue of Scientific Papers (1800-1900): ser. 4 , 1884-1900 by : Royal Society (Great Britain)

Download or read book Catalogue of Scientific Papers (1800-1900): ser. 4 , 1884-1900 written by Royal Society (Great Britain) and published by . This book was released on 1914 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Function Spaces and Partial Differential Equations

Author : Ali Taheri
Publisher : OUP Oxford
ISBN 13 : 0191047821
Total Pages : 523 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Function Spaces and Partial Differential Equations by : Ali Taheri

Download or read book Function Spaces and Partial Differential Equations written by Ali Taheri and published by OUP Oxford. This book was released on 2015-07-30 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book written primarily for graduate students and early researchers in the fields of Analysis and Partial Differential Equations (PDEs). Coverage of the material is essentially self-contained, extensive and novel with great attention to details and rigour. The strength of the book primarily lies in its clear and detailed explanations, scope and coverage, highlighting and presenting deep and profound inter-connections between different related and seemingly unrelated disciplines within classical and modern mathematics and above all the extensive collection of examples, worked-out and hinted exercises. There are well over 700 exercises of varying level leading the reader from the basics to the most advanced levels and frontiers of research. The book can be used either for independent study or for a year-long graduate level course. In fact it has its origin in a year-long graduate course taught by the author in Oxford in 2004-5 and various parts of it in other institutions later on. A good number of distinguished researchers and faculty in mathematics worldwide have started their research career from the course that formed the basis for this book.

Generalized Poisson Models and their Applications in Insurance and Finance

Author : Vladimir E. Bening
Publisher : Walter de Gruyter
ISBN 13 : 3110936011
Total Pages : 456 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Generalized Poisson Models and their Applications in Insurance and Finance by : Vladimir E. Bening

Download or read book Generalized Poisson Models and their Applications in Insurance and Finance written by Vladimir E. Bening and published by Walter de Gruyter. This book was released on 2012-06-11 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.

Integral Transforms and Their Applications, Third Edition

Author : Lokenath Debnath
Publisher : CRC Press
ISBN 13 : 1482223570
Total Pages : 820 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Integral Transforms and Their Applications, Third Edition by : Lokenath Debnath

Download or read book Integral Transforms and Their Applications, Third Edition written by Lokenath Debnath and published by CRC Press. This book was released on 2014-11-07 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral Transforms and Their Applications, Third Edition covers advanced mathematical methods for many applications in science and engineering. The book is suitable as a textbook for senior undergraduate and first-year graduate students and as a reference for professionals in mathematics, engineering, and applied sciences. It presents a systematic development of the underlying theory as well as a modern approach to Fourier, Laplace, Hankel, Mellin, Radon, Gabor, wavelet, and Z transforms and their applications. New to the Third Edition New material on the historical development of classical and modern integral transforms New sections on Fourier transforms of generalized functions, the Poisson summation formula, the Gibbs phenomenon, and the Heisenberg uncertainty principle Revised material on Laplace transforms and double Laplace transforms and their applications New examples of applications in mechanical vibrations, electrical networks, quantum mechanics, integral and functional equations, fluid mechanics, mathematical statistics, special functions, and more New figures that facilitate a clear understanding of physical explanations Updated exercises with solutions, tables of integral transforms, and bibliography Through numerous examples and end-of-chapter exercises, this book develops readers’ analytical and computational skills in the theory and applications of transform methods. It provides accessible working knowledge of the analytical methods and proofs required in pure and applied mathematics, physics, and engineering, preparing readers for subsequent advanced courses and research in these areas.