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Functions, Orthogonal
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  • 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...

  • 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...

  • 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...

  • 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...

  • Orthogonal Rational Functionsby Adhemar Bultheel; Pablo Gonzalez-Vera; Erik Hendriksen; Olav Njastad

    Cambridge University Press 1999; US$ 45.00

    The book generalises the classical theory of orthogonal polynomials to rational functions. more...

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

    Cambridge University Press 2001; US$ 148.00

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

  • Orthogonal Polynomials and Continued Fractionsby Sergey Khrushchev

    Cambridge University Press 2008; US$ 113.00

    Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today. more...

  • General Orthogonal Polynomialsby Herbert Stahl; Vilmos Totik

    Cambridge University Press 1992; US$ 60.00

    An encyclopedic presentation of general orthogonal polynomials, placing emphasis on asymptotic behaviour and zero distribution. more...

  • Triangular Orthogonal Functions for the Analysis of Continuous Time Systemsby Anish Deb; Gautam Sarkar; Anindita Sengupta

    Anthem Press 2011; US$ 99.00

    This book deals with a new set of triangular orthogonal functions, which evolved from the set of well known block pulse functions (BPF), a major member of the piecewise constant orthogonal function (PCOF) family. more...

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