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Practical Fourier Analysis for Multigrid Methods
CRC Press 2004; US$ 107.95Wienands (University of Cologne) and Joppich (University of Bonn-Rhein) introduce the basic features and power of local Fourier analysis for multigrid methods, and provide their LFA software on the accompanying CD-ROM. To demonstrate the software, they walk through case studies of theoretical and corresponding numerical results for two-dimensional more...
Principles of Fourier Analysis
CRC Press 2001; US$ 129.95An examination of the principles of Fourier analysis. It offers a comprehensive overview of the mathematical theory of Fourier analysis, including the development of Fourier series, "classical" Fourier transforms, generalized Fourier transforms and analysis, and the discrete theory. more...
Transform Methods for Solving Partial Differential Equations
CRC Press 2004; US$ 129.95Transform methods provide a bridge between the commonly used method of separation of variables and numerical techniques for solving linear partial differential equations. While in some ways similar to separation of variables, transform methods can be effective for a wider class of problems. Even when the inverse of the transform cannot be found analytically,... more...
The Fourfold Way In Real Analysis
Springer 2006; US$ 109.99Suitable for researchers working in analysis in general, in harmonic analysis, or in mathematical physics. more...
Singular Integrals And Related Topics
World Scientific Publishing Company 2007; US$ 88.40This book introduces some important progress in the theory of Calderon–Zygmund singular integrals, oscillatory singular integrals, and Littlewood–Paley theory over the last decade. It includes some important research results by the authors and their cooperators, such as singular integrals with rough kernels on Block spaces and Hardy spaces,... more...
Mean Oscillations and Equimeasurable Rearrangements of Functions
Springer 2007; US$ 39.99Considers various applications of equimeasurable function rearrangements to the "best constant"- type problems. This volume includes a product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for bounded mean oscillation (BMO) functions with sharp exponent, and Gurov-Reshetnyak, reverse Holder. more...
Classical Fourier Analysis
Springer 2008; US$ 54.99The 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... more...
Modern Fourier Analysis
Springer 2009; US$ 54.99Addressed to graduate students in mathematics and designed to serve for a three-course sequence on the subject, this book aims to present the theoretical foundation of the field of Fourier analysis. It includes a chapter that is devoted to the fundamentals of analysis on the torus. more...
Fourier Analysis
Princeton University Press 2011; US$ 90.00This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that... more...
Applications of Fourier Transforms to Generalized Functions
WIT Press 2011; US$ 166.00This book explains how Fourier transforms can be applied to generalized functions. The generalized function is one of the important branches of mathematics and is applicable in many practical fields. Its applications to the theory of distribution and signal processing are especially important. The Fourier transform is a mathematical procedure that... more...
