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Functions, Orthogonal

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

    Taylor and Francis 2002; US$ 164.95

    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...

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

    Taylor and Francis 2012; US$ 159.95

    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...

  • 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...

  • Generation of Multivariate Hermite Interpolating Polynomialsby Santiago Alves Tavares

    Taylor and Francis 2005; US$ 154.95

    Generation of Multivariate Hermite Interpolating Polynomials advances the study of approximate solutions to partial differential equations by presenting a novel approach that employs Hermite interpolating polynomials and bysupplying algorithms useful in applying this approach. Organized into three sections, the book begins with a thorough examination... more...

  • Hypergeometric Orthogonal Polynomials and Their q-Analoguesby Roelof Koekoek; Peter A. Lesky; René F. Swarttouw

    Springer 2010; US$ 129.00

    The very classical orthogonal polynomials named after Hermite, Laguerre and Jacobi, satisfy many common properties. For instance, they satisfy a second-order differential equation with polynomial coefficients and they can be expressed in terms of a hypergeometric function. Replacing the differential equation by a second-order difference equation results... more...

  • Isomorphisms Between Hš Spacesby Paul F.X. Müller

    Springer 2006; 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,... more...

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

    Springer 2005; US$ 209.00

    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... more...

  • Orthogonal Polynomialsby Géza Freud

    Elsevier Science 2014; US$ 72.95

    Orthogonal Polynomials contains an up-to-date survey of the general theory of orthogonal polynomials. It deals with the problem of polynomials and reveals that the sequence of these polynomials forms an orthogonal system with respect to a non-negative m-distribution defined on the real numerical axis. Comprised of five chapters, the book begins... more...

  • Orthogonal Polynomials of Several Variablesby Charles F. Dunkl; Yuan Xu

    Cambridge University Press 2001; US$ 176.00

    Orthogonal polynomials of several variables, approximation theory, symmetry-group methods. more...