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Fourier analysis

  • Studies in Phase Space Analysis with Applications to PDEsby

    Springer New York 2013; US$ 169.00

    This book covers advances in linear and nonlinear aspects of the theory of partial differential equations. Includes general theory; Hardy-type inequalities; linear and non-linear hyperbolic equations; Schrödinger equations; water-wave equations and more. more...

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

    Springer London 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$ 130.00

    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

    CRC Press 2008; US$ 121.95

    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...

  • Variable Lebesgue Spacesby David Cruz-Uribe; Alberto Fiorenza

    Springer Basel 2013; US$ 139.00

    Here is an accessible introduction to the theory of variable Lebesgue spaces, beginning with the development of the basic function space properties, moving through harmonic analysis on variable Lebesgue spaces to basic results about variable Sobolev spaces. more...

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

    CRC Press 2004; US$ 154.95

    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...

  • Numerical Approximation of Exact Controls for Wavesby Sylvain Ervedoza; Enrique Zuazua

    Springer New York 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 two approaches,... 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 New York 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 New York 2009; US$ 69.95

    The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. There are historical notes at the end of each chapter, and examples illustrate the definitions and ideas. more...