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Fourier analysis

  • Mastering the Discrete Fourier Transform in One, Two or Several Dimensionsby Isaac Amidror

    Springer 2013; US$ 129.00

    The discrete Fourier transform (DFT) is an extremely useful tool that finds application in many different disciplines. However, its use requires caution. The aim of this book is to explain the DFT and its various artifacts and pitfalls and to show how to avoid these (whenever possible), or at least how to recognize them in order to avoid misinterpretations.... more...

  • Discrete Fourier Analysis and Waveletsby S. Allen Broughton; Kurt M. Bryan

    Wiley 2011; US$ 126.00

    A thorough guide to the classical and contemporary mathematical methods of modern signal and image processing Discrete Fourier Analysis and Wavelets presents a thorough introduction to the mathematical foundations of signal and image processing. Key concepts and applications are addressed in a thought-provoking manner and are implemented using... more...

  • Discrete and Continuous Fourier Transformsby Eleanor Chu

    Taylor and Francis 2012; US$ 115.95

    Long employed in electrical engineering, the discrete Fourier transform (DFT) is now applied in a range of fields through the use of digital computers and fast Fourier transform (FFT) algorithms. But to correctly interpret DFT results, it is essential to understand the core and tools of Fourier analysis. Discrete and Continuous Fourier Transforms:... more...

  • Studies in Phase Space Analysis with Applications to PDEsby Massimo Cicognani; Ferruccio Colombini; Daniele Del Santo

    Springer 2013; US$ 169.00

    This collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of partial differential equations (PDEs). Phase space analysis methods, also known as microlocal analysis, have continued to yield striking results over the past years and are... more...

  • Variable Lebesgue Spacesby David V. Cruz-Uribe; Alberto Fiorenza

    Springer 2013; US$ 129.00

    This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent p with a variable exponent p(x). They were introduced in the early 1930s but have become the focus of renewed interest since the early 1990s because of their connection with... more...

  • Transform Methods for Solving Partial Differential Equations, Second Editionby Dean G. Duffy

    Taylor and Francis 2004; US$ 146.95

    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,... more...

  • On the Numerical Approximations of Exact Controls for Wavesby Sylvain Ervedoza; Enrique Zuazua

    Springer 2013; US$ 49.95

    ??????This book is devoted to fully developing and comparing the two main approaches to the numerical approximation of controls for wave propagation phenomena: the continuous and the discrete. This is accomplished in the abstract functional setting of conservative semigroups.The main results of the work unify, to a large extent, these... more...

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

    Elsevier Science 1996; US$ 72.95

    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... more...

  • Classical Fourier Analysisby Loukas Grafakos

    Springer 2008; US$ 69.95

    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...

  • Modern Fourier Analysisby Loukas Grafakos

    Springer 2009; US$ 69.95

    Addressed 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...