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Fourier series

Most popular at the top

  • Generation of Multivariate Hermite Interpolating Polynomialsby Santiago Alves Tavares

    CRC Press 2005; US$ 109.95

    Alves Tavares (University of Florida) develops the approximate solution of differential equations that can be expanded on a basis of polynomials, where all derivatives up to a predefined order can be specified at the boundaries. The book also defines an ordering relation for the constrained numbers and provides algorithms to expand the derivative o more...

  • Canonical Problems in Scattering and Potential Theory Part 1by S.S. Vinogradov

    CRC Press 2001; US$ 149.95

    This title is the first of a two-volume set that describes a breakthrough in analytical techniques for accurately determining diffraction from classes of canonical scatterers with comprising edges and other complex cavity features. more...

  • Canonical Problems in Scattering and Potential Theory Part IIby S.S. Vinogradov

    CRC Press 2002; US$ 119.95

    This second volume in a two-part set develops the approach given in the first volume to analyze the diffraction of acoustic and electromagnetic waves from several classes of open structures with edges or cavities. The approach is based on transformations connected with Abel's integral equation to invert a singular part of the operator defining the more...

  • Chebyshev Polynomialsby J.C. Mason

    CRC Press 2002; US$ 119.95

    Providing a readable exposition on the subject's state of the art, this title includes coverage of the theory along with an in-depth look at the properties of all four kinds of Chebyshev polynomials. more...

  • Determining Spectra in Quantum Theoryby Michael Demuth; Maddaly Krishna

    Springer 2006; US$ 124.00

    Aimed at graduate students and researchers working in the spectral theory of Schrodinger operators with either fixed or random potentials in particular, this book establishes criteria for identifying the spectrum. It examines a series of applications to show point spectrum and continuous spectrum in some models of random operators. more...

  • Modelling and Identification with Rational Orthogonal Basis Functionsby Peter S.C. Heuberger; Paul M.J. Van den Hof; Bo

    Springer 2006; US$ 179.00

    Models of dynamical systems are of great importance in almost all fields of science and engineering and specifically in control, signal processing and information science. A model is always only an approximation of a real phenomenon so that having an approximation theory which allows for the analysis of model quality is a substantial concern. The use of rational orthogonal basis functions to represent dynamical systems and stochastic signals can provide such a theory and underpin advanced analysis and efficient modelling. It also has the potential to extend beyond these areas to deal with many problems in circuit theory, telecommunications, systems, control theory and signal processing.Modelling and Identification with Rational Orthogonal Basis... more...

  • An Introduction to Non-Harmonic Fourier Seriesby Robert M. Young

    Elsevier 2001; US$ 104.00

    An Introduction to Non-Harmonic Fourier Series, Revised Edition is an update of a widely known and highly respected classic textbook. Throughout the book, material has also been added on recent developments, including stability theory, the frame radius, and applications to signal analysis and the control of partial differential equations. more...

  • Isomorphisms Between Hı Spacesby Paul F.X. Müller

    Springer 2005; US$ 139.00

    This book gives a thorough and self contained presentation of H? its known isomorphic invariants and a complete classification of H? on spaces of homogeneous type. The necessary background is developed from scratch. This includes a detailed discussion of the Haar system, together with the operators that can be built from it (averaging projections, rearrangement operators, paraproducts, Calderon-Zygmund singular integrals). Complete proofs are given for the classical martingale inequalities of C. Fefferman, Burkholder, and Khinchine-Kahane, and for large deviation inequalities. Complex interpolation is treated. Througout, special attention is given to the combinatorial methods developed in the field. An entire chapter is devoted to study the... more...

  • A New Twist to Fourier Transformsby Hamish D. Meikle

    Wiley-VCH 2008; US$ 125.00

    Making use of the inherent helix in the Fourier transform expression, this book illustrates both Fourier transforms and their properties in the round. The author draws on elementary complex algebra to manipulate the transforms, presenting the ideas in such a way as to avoid pages of complicated mathematics. Similarly, abbreviations are not used throughout and the language is kept deliberately clear so that the result is a text that is accessible to a much wider readership. The treatment is extended with the use of sampled data to finite and discrete transforms, the fast Fourier transform, or FFT, being a special case of a discrete transform. The application of Fourier transforms in statistics is illustrated for the first time using the examples... more...

  • Fourier and Laplace Transformsby R. J. Beerends; H. G. ter Morsche; J. C. van den Berg; E. M. van de Vrie

    Cambridge University Press 2003; US$ 79.00

    Textbook on Fourier and Laplace transforms for undergraduate and graduate students. more...