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ISBN: 9783540747093 Year: 2007 Publisher: Berlin Heidelberg Springer Berlin Heidelberg
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Various applications of equimeasurable function rearrangements to the ''best constant"-type problems are considered in this volume. Several classical theorems are presented along with some very recent results. In particular, the text 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, a refinement of the Gurov-Reshetnyak lemma, sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, reverse Hölder, and Gehring classes, etc. This volume is interesting for graduate students and mathematicians involved with these topics.
Multi
ISBN: 9783540747093 Year: 2007 Publisher: Berlin, Heidelberg Springer-Verlag Berlin Heidelberg
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ISBN: 1281121509 9786611121501 9812770704 9789812770707 9781281121509 9789812705495 981270549X Year: 2007 Publisher: Singapore Hackensack, NJ World Scientific
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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 the latest areas for further research. It is divided into two parts: harmonic, wavelet and p-adic analysis and p-adic and stochastic analysis.
ISBN: 9780521883405 0521883407 9780521709798 0521709792 9780511619700 Year: 2007 Publisher: Cambridge Cambridge University Press
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This unique book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. FT calculus and generalized functions are then used to study the wave equation, diffusion equation, and diffraction equation. Real-world applications of Fourier analysis are described in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physicists, chemists, geologists, electrical engineers, mechanical engineers, and others.
ISBN: 9780821842379 Year: 2007 Publisher: Providence, R.I. American Mathematical Society
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ISBN: 128112169X 9786611121693 9812770569 9789812770561 9781281121691 9812706232 9789812706232 Year: 2007 Publisher: Singapore Hackensack, NJ World Scientific
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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.
Singular integrals. --- Harmonic analysis. --- Operator theory.
ISBN: 1281911593 9786611911591 9812770798 9789812770790 981277078X 9789812770783 981277078X 9789812770783 Year: 2007 Publisher: Singapore Hackensack, N.J. World Scientific
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This volume carries the same title as that of an international conference held at the National University of Singapore, 9-11 January 2006 on the occasion of Roger E. Howe's 60th birthday. Authored by leading members of the Lie theory community, these contributions, expanded from invited lectures given at the conference, are a fitting tribute to the originality, depth and influence of Howe's mathematical work. The range and diversity of the topics will appeal to a broad audience of research mathematicians and graduate students interested in symmetry and its profound applications. Sample Ch
Symmetry (Mathematics) --- Harmonic analysis --- Representations of groups --- Automorphic forms
Book
ISBN: 1281918717 9786611918712 9812709088 9789812709080 9781281918710 661191871X Year: 2007 Publisher: Singapore Hackensack, N.J. World Scientific
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Gabor and wavelet analyses have found widespread applications in signal analysis, image processing and many other information-related areas. Both deliver representations that are simultaneously local in time and in frequency. Due to their significance and success in practical applications, they formed some of the core topics of the program "Mathematics and Computation in Imaging Science and Information Processing", which was held at the Institute for Mathematical Sciences, National University of Singapore, from July to December 2003 and in August 2004. As part of the program, tutorial lectures
Gabor transforms. --- Wavelets (Mathematics) --- Wavelet analysis --- Harmonic analysis --- Transforms, Gabor --- Fourier transformations
Book
ISBN: 9783540729495 Year: 2007 Publisher: Berlin, Heidelberg Springer-Verlag Berlin Heidelberg
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In wavelet analysis, irregular wavelet frames have recently come to the forefront of current research due to questions concerning the robustness and stability of wavelet algorithms. A major difficulty in the study of these systems is the highly sensitive interplay between geometric properties of a sequence of time-scale indices and frame properties of the associated wavelet systems. This volume provides the first thorough and comprehensive treatment of irregular wavelet frames by introducing and employing a new notion of affine density as a highly effective tool for examining the geometry of sequences of time-scale indices. Many of the results are new and published for the first time. Topics include: qualitative and quantitative density conditions for existence of irregular wavelet frames, non-existence of irregular co-affine frames, the Nyquist phenomenon for wavelet systems, and approximation properties of irregular wavelet frames.
Digital
ISBN: 9783540729495 Year: 2007 Publisher: Berlin, Heidelberg Springer-Verlag Berlin Heidelberg
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