LIBROS DEL AUTOR: daniel alpay

6 resultados para LIBROS DEL AUTOR: daniel alpay

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  • Slice Hyperholomorphic Schur Analysis
    Daniel Alpay / Fabrizio Colombo / Irene Sabadini
    This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis. The third part represents the co...
    Disponible

    136,55 €

  • A Complex Analysis Problem Book
    Daniel Alpay
    This second edition presents a collection of exercises on the theory of analytic functions, including completed and detailed solutions. It introduces students to various applications and aspects of the theory of analytic functions not always touched on in a first course, while also addressing topics of interest to electrical engineering students (e.g., the realization of ration...
    Disponible

    125,03 €

  • An Advanced Complex Analysis Problem Book
    Daniel Alpay
    This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then,...
    Disponible

    108,17 €

  • Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
    Daniel Alpay / Maria Elena Luna-Elizarrarás / Michael Shapiro
    This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers and then defines the notion of bicomplex modules. After introducing a number of norms and inner products on such modules (some of which appear in this volume for the first time), the authors develop the theor...
    Disponible

    68,04 €

  • Reproducing Kernel Spaces and Applications
    Daniel Alpay
    The notions of positive functions and of reproducing kernel Hilbert spaces play an important role in various fields of mathematics, such as stochastic processes, linear systems theory, operator theory, and the theory of analytic functions. Also they are relevant for many applications, for example to statistical learning theory and pattern recognition....
    Disponible

    135,92 €

  • Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
    Aad Dijksma / Daniel Alpay / James Rovnyak
    Generalized Schur functions are scalar- or operator-valued holomorphic functions such that certain associated kernels have a finite number of negative squares. This book develops the realization theory of such functions as characteristic functions of coisometric, isometric, and unitary colligations whose state spaces are reproducing kernel Pontryagin ...
    Disponible

    120,59 €