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Harmonic analysis

Most popular at the top

  • Fourier Analysis on Groupsby Walter Rudin

    Wiley 2011; US$ 45.50 US$ 39.43

    In the late 1950s, many of the more refined aspects of Fourier analysis were transferred from their original settings (the unit circle, the integers, the real line) to arbitrary locally compact abelian (LCA) groups. Rudin's book, published in 1962, was the first to give a systematic account of these developments and has come to be regarded as a classic... more...

  • Analysis in Integer and Fractional Dimensionsby Ron Blei

    Cambridge University Press 2001; US$ 204.00

    Thorough and self-contained study for graduate students and researchers. more...

  • Real Analysis with an Introduction to Wavelets and Applicationsby Don Hong; Jianzhong Wang; Robert Gardner

    Elsevier Science 2004; US$ 131.00

    An in-depth look at real analysis and its applications, including an introduction to wavelet analysis, a popular topic in "applied real analysis". This text makes a very natural connection between the classic pure analysis and the applied topics, including measure theory, Lebesgue Integral, harmonic analysis and wavelet theory with many associated... more...

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

    World Scientific Publishing Company 2007; US$ 94.00 US$ 85.54

    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,... more...

  • Harmonic, Wavelet And P-adic Analysisby N M Chuong; Yu V Egorov; A Khrennikov

    World Scientific Publishing Company 2007; US$ 157.00 US$ 142.87

    The mutual influence between mathematics and science and technology is becoming more and more widespread with profound connections among them being discovered. In particular, important connections between harmonic analysis, wavelet analysis and p-adic analysis have been found recently. This volume reports these findings and guides the reader towards... more...

  • Mean Oscillations and Equimeasurable Rearrangements of Functionsby Anatolii A. Korenovskii

    Springer Berlin Heidelberg 2007; US$ 31.71

    This volume considers various applications of equimeasurable function rearrangements to the "best constant"-type problems. It presents several classical theorems along with some very recent results. Coverage includes a product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for bounded mean oscillation... more...

  • Weighted Littlewood-Paley Theory and Exponential-Square Integrabilityby Michael Wilson

    Springer Berlin Heidelberg 2007; US$ 42.28

    Littlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It extends some of the benefits of orthogonality to situations where orthogonality doesn?t really make sense. It does so by letting us control certain oscillatory infinite series of functions in terms of... more...

  • Classical Fourier Analysisby Loukas Grafakos

    Springer New York 2008; US$ 44.64

    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... more...

  • Discrete Spectral Synthesis and Its Applicationsby László Székelyhidi

    Springer Netherlands 2007; US$ 91.98

    In order to study discrete Abelian groups with wide range applications, the use of classical functional equations, difference and differential equations, polynomial ideals, digital filtering and polynomial hypergroups is required. This book covers several different problems in this field and is unique in being the only comprehensive coverage of this... more...

  • Harmonic Analysis and Applicationsby Christopher Heil

    Birkhäuser Boston 2007; US$ 142.60

    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.... more...