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  • An Introduction to Frames and Riesz Bases

    Series series Mathematics and Statistics (R0)
    This revised and expanded monograph presents the general theory for frames and Riesz bases in Hilbert spaces as well as its concrete realizations within Gabor analysis, wavelet analysis, and generalized shift-invariant systems. Compared with the first edition, more emphasis is put on explicit constructions with attractive properties. Based on the exiting development of frame theory over the last ... Leer más

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  • Calculus for the Ambitious

    de T. W. Körner ...
    From the author of The Pleasures of Counting and Naïve Decision Making comes a calculus book perfect for self-study. It will open up the ideas of the calculus for any 16- to 18-year-old, about to begin studies in mathematics, and will be useful for anyone who would like to see a different account of the calculus from that given in the standard texts. In a lively and easy-to-read style, Professor ... Leer más

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  • New Trends in Applied Harmonic Analysis

    Sparse Representations, Compressed Sensing, and Multifractal Analysis

    Series series Mathematics and Statistics (R0)
    This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing and Multifractal Analysis". New interactions between harmonic analysis and signal and image processing have seen striking development in the last 10 years, and several technological deadlocks have been solved through ... Leer más

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  • Excursions in Harmonic Analysis, Volume 1

    The February Fourier Talks at the Norbert Wiener Center

    Series series Mathematics and Statistics (R0)
    The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis.This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at ... Leer más

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  • An Introduction to Finite Tight Frames

    Series series Mathematics and Statistics (R0)
    This textbook is an introduction to the theory and applications of finite tight frames, an area that has developed rapidly in the last decade. Stimulating much of this growth are the applications of finite frames to diverse fields such as signal processing, quantum information theory, multivariate orthogonal polynomials, and remote sensing.The first book entirely devoted to finite frames, it ... Leer más

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  • Harmonic and Applied Analysis

    From Groups to Signals

    Series series Mathematics and Statistics (R0)
    This contributed volume explores the connection between the theoretical aspects of harmonic analysis and the construction of advanced multiscale representations that have emerged in signal and image processing. It highlights some of the most promising mathematical developments in harmonic analysis in the last decade brought about by the interplay among different areas of abstract and applied ... Leer más

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  • Excursions in Harmonic Analysis, Volume 2

    The February Fourier Talks at the Norbert Wiener Center

    Series series Mathematics and Statistics (R0)
    The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis.This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at ... Leer más

    $89.99 USD

  • From Fourier Analysis to Wavelets

    Series series Mathematics and Statistics (R0)
    This text introduces the basic concepts of function spaces and operators, both from the continuous and discrete viewpoints. Fourier and Window Fourier Transforms are introduced and used as a guide to arrive at the concept of Wavelet transform. The fundamental aspects of multiresolution representation, and its importance to function discretization and to the construction of wavelets is also ... Leer más

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  • Lecture Notes on Wavelet Transforms

    Series series Mathematics and Statistics (R0)
    This book provides a systematic exposition of the basic ideas and results of wavelet analysis suitable for mathematicians, scientists, and engineers alike. The primary goal of this text is to show how different types of wavelets can be constructed, illustrate why they are such powerful tools in mathematical analysis, and demonstrate their use in applications. It also develops the required ... Leer más

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  • Classical Fourier Analysis

    Series series Mathematics and Statistics (R0)
    The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood–Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory ... Leer más

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  • Pseudodifferential Equations Over Non-Archimedean Spaces

    Series series Mathematics and Statistics (R0)
    Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The Gelfand-Shilov method for constructing fundamental solutions using local zeta functions is developed in a p-adic setting and several particular ... Leer más

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  • Complex Analysis and Dynamical Systems

    New Trends and Open Problems

    Series series Mathematics and Statistics (R0)
    This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences.Traditional methods and approaches surface in physics and in the life and engineering sciences with increasing frequency – the Schramm‐Loewner evolution, Laplacian growth, and quadratic differentials are ... Leer más

    $125.99 USD