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Fourier series

  • Canonical Problems in Scattering and Potential Theory Part 1by S.S. Vinogradov; P. D. Smith; E.D. Vinogradova

    CRC Press 2001; US$ 209.95

    Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough in analytical techniques for accurately determining diffraction from classes of canonical scatterers... more...

  • Canonical Problems in Scattering and Potential Theory Part IIby S.S. Vinogradov; P. D. Smith; E.D. Vinogradova

    CRC Press 2002; US$ 159.95

    Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough in analytical techniques for accurately determining diffraction from classes of canonical scatterers... more...

  • Chebyshev Polynomialsby J.C. Mason; David C. Handscomb

    CRC Press 2002; US$ 172.95

    Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particular importance in recent advances in subjects such as orthogonal polynomials, polynomial approximation, numerical integration, and spectral methods. Yet no book dedicated to Chebyshev polynomials has been published since 1990, and even that work focused... more...

  • Complex Analysis and Potential Theoryby T. Aliyev Azeroglu; P.M. Tamrazov

    World Scientific Publishing Company 2007; US$ 234.00

    This volume gathers the contributions from outstanding mathematicians, such as Samuel Krushkal, Reiner Kühnau, Chung Chun Yang, Vladimir Miklyukov and others.It will help researchers to solve problems on complex analysis and potential theory and discuss various applications in engineering. The contributions also update the reader on recent developments... more...

  • Continuous Time Dynamical Systemsby B.M. Mohan; S.K. Kar

    CRC Press 2012; US$ 167.95

    Optimal control deals with the problem of finding a control law for a given system such that a certain optimality criterion is achieved. An optimal control is a set of differential equations describing the paths of the control variables that minimize the cost functional. This book, Continuous Time Dynamical Systems: State Estimation and Optimal... more...

  • Convergence Problems of Orthogonal Seriesby G. Alexits

    Elsevier Science 2014; US$ 72.95

    Convergence Problems of Orthogonal Series deals with the theory of convergence and summation of the general orthogonal series in relation to the general theory and classical expansions. The book reviews orthogonality, orthogonalization, series of orthogonal functions, complete orthogonal systems, and the Riesz-Fisher theorem. The text examines Jacobi... more...

  • Determining Spectra in Quantum Theoryby Michael Demuth; M. Krishna

    Birkhäuser Boston 2006; US$ 169.00

    Themainobjectiveofthisbookistogiveacollectionofcriteriaavailablein the spectral theory of selfadjoint operators, and to identify the spectrum and its components in the Lebesgue decomposition. Many of these criteria were published in several articles in di?erent journals. We collected them, added some and gave some overview that can serve as a platform... more...

  • Fourier Expansionsby Fritz Oberhettinger

    Elsevier Science 2014; US$ 31.95

    Fourier Expansions: A Collection of Formulas provides a collection of Fourier series. Its limited scope made a number of compromises necessary. The question regarding the choice and organization of the material to be included posed certain problems. In order to preserve some consistency it seemed best to stay within the framework of what one could... more...

  • Fourier Series in Orthogonal Polynomialsby Boris Osilenker

    World Scientific Publishing Company 1999; US$ 107.00

    This book presents a systematic course on general orthogonal polynomials and Fourier series in orthogonal polynomials. It consists of six chapters. Chapter 1 deals in essence with standard results from the university course on the function theory of a real variable and on functional analysis. Chapter 2 contains the classical results about the orthogonal... more...

  • Fourier Transformsby Eric W. Hansen

    Wiley 2014; US$ 140.00

    Fourier Transforms: Principles and Applications explains transform methods and their applications to electrical systems from circuits, antennas, and signal processors—ably guiding readers from vector space concepts through the Discrete Fourier Transform (DFT), Fourier series, and Fourier transform to other related transform methods. Featuring... more...