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Fourier analysis

Most popular at the top

  • Practical Fourier Analysis for Multigrid Methodsby Roman Wienands

    CRC Press 2004; US$ 89.95

    Wienands (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 Analysisby Kenneth B. Howell

    CRC Press 2001; US$ 109.95

    An 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 Equationsby Dean G. Duffy

    CRC Press 2004; US$ 109.95

    Transform 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, numeric and asymptotic techniques now exist for their inversion, and because the problem retains some of its analytic aspect, one can gain greater physical insight than typically obtained from a purely numerical approach. Transform Methods for Solving Partial Differential Equations, Second Edition illustrates the use of Laplace, Fourier, and Hankel transforms to solve partial differential... more...

  • Pseudo Differential Operators And Markov Processes, Volume IIIby Niels Jacob

    World Scientific 2005; US$ 121.00

    This volume concentrates on how to construct a Markov process by starting with a suitable pseudo-differential operator. Feller processes, Hunt processes associated with Lp-sub-Markovian semigroups and processes constructed by using the Martingale problem are at the center of the considerations. The potential theory of these processes is further developed and applications are discussed. Due to the non-locality of the generators, the processes are jump processes and their relations to Levy processes are investigated. Special emphasis is given to the symbol of a process, a notion which generalizes that of the characteristic exponent of a Levy process and provides a natural link to pseudo-differential operator theory. more...

  • The Fourfold Way In Real Analysisby André Unterberger

    Springer 2006; US$ 129.00

    Suitable for researchers working in analysis in general, in harmonic analysis, or in mathematical physics. more...

  • Singular Integrals And Related Topicsby Shanzhen Lu; Yong Ding; Dunyan Yan

    World Scientific 2007; US$ 88.40

    This 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, the criterion on boundedness of oscillatory singular integrals, and boundedness of the rough Marcinkiewicz integrals. These results have frequently been cited in many published papers. more...

  • Fourier Analysis and Boundary Value Problemsby Enrique A. Gonzalez-Velasco

    Elsevier 1996; US$ 127.00

    Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems have lead to wonderfully significant developments in mathematics. A clear and complete text with more than 500 exercises, Fourier Analysis and Boundary Value... more...

  • A First Course in Fourier Analysisby David W. Kammler

    Cambridge University Press 2008; US$ 66.00

    Introduces applied mathematics through Fourier analysis, with applications to studying sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. more...

  • Mean Oscillations and Equimeasurable Rearrangements of Functionsby Anatolii Korenovskii

    Springer 2007; US$ 49.95

    Considers 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...

  • Discrete and Continuous Fourier Transformsby Eleanor Chu

    Taylor & Francis 2008; US$ 89.95

    Presents a systematic approach to developing the ideas and computing techniques used by a large collection of fast Fourier transform algorithms. This book includes mathematical background necessary to understand the family of prime factor algorithms and various important computer techniques. more...