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Showing 1 - 12 of 12 results for “daniel alpay”
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  • Schur Analysis and Applications to Hypercomplex Analysis, Neural Networks, and Linear Systems

    Chapman University, January 2024

    Edited by Daniel Alpay, Izchak Lewkowicz, Adrian Vajiac, Mihaela Vajiac ...
    Series series Springer Nature Proceedings excluding Computer Science
    This volume presents selected contributions from a conference held at Chapman University in January 2024 on Schur analysis and its applications. The papers, written by leading researchers in the field, are divided into four sections: function theory, harmonic analysis, and operator theory; Schur analysis and signal processing; hypercomplex analysis; and infinite dimensional analysis, probabilities ... Read more

    $197.09 USD

  • Exercises in Applied Mathematics

    With a View toward Information Theory, Machine Learning, Wavelets, and Statistical Physics

    by Daniel Alpay ...
    Series series Mathematics and Statistics (R0)
    This text presents a collection of mathematical exercises with the aim of guiding readers to study topics in statistical physics, equilibrium thermodynamics, information theory, and their various connections. It explores essential tools from linear algebra, elementary functional analysis, and probability theory in detail and demonstrates their applications in topics such as entropy, machine ... Read more

    $80.99 USD

  • Quaternionic de Branges Spaces and Characteristic Operator Function

    by Daniel Alpay, Fabrizio Colombo, Irene Sabadini ...
    Series series Mathematics and Statistics (R0)
    This work contributes to the study of quaternionic linear operators. This study is a generalization of the complex case, but the noncommutative setting of quaternions shows several interesting new features, see e.g. the so-called S-spectrum and S-resolvent operators. In this work, we study de Branges spaces, namely the quaternionic counterparts of spaces of analytic functions (in a suitable sense) ... Read more

    $53.99 USD

  • Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions

    by Daniel Alpay, Fabrizio Colombo, Irene Sabadini ...
    Series series Mathematics and Statistics (R0)
    The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions. Banach and Hilbert spaces of analytic functions, in one or several complex variables, play an important role in analysis and related fields. Besides their intrinsic interest, such spaces have numerous applications.The book is divided into three parts. In ... Read more

    $161.99 USD

  • Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

    by Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael Shapiro, Daniele C. Struppa ...
    Series series Mathematics and Statistics (R0)
    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 theory of linear ... Read more

    $49.49 USD

  • Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis

    IWOTA 2021, Chapman University

    Edited by Daniel Alpay, Jussi Behrndt, Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa ...
    Series series Springer Nature Proceedings excluding Computer Science
    This book features a collection of papers by plenary, semi-plenary and invited contributors at IWOTA2021, held at Chapman University in hybrid format in August 2021. The topics span areas of current research in operator theory, mathematical physics, and complex analysis. ... Read more

    $215.09 USD

  • New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative

    Chapman University, November 2019

    Edited by Daniel Alpay, Ronen Peretz, David Shoikhet, Mihaela B. Vajiac ...
    Series series Mathematics and Statistics (R0)
    This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory. The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis.Signal processing constitutes a ... Read more

    $143.09 USD

  • Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory

    A Volume in Honor of V.E. Katsnelson

    Edited by Daniel Alpay, Bernd Fritzsche, Bernd Kirstein ...
    Series series Mathematics and Statistics (R0)
    This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.Victor Emmanuilovich’s mathematical career has been based mainly at the Kharkov University and the Weizmann Institute. However, it also included a one-year guest professorship at Leipzig University in 1991, which led to him establishing ... Read more

    $152.09 USD

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  • Functional Analytic Methods for Partial Differential Equations

    by Hiroki Tanabe ...
    Series series Chapman & Hall/CRC Pure and Applied Mathematics
    Combining both classical and current methods of analysis, this text present discussions on the application of functional analytic methods in partial differential equations. It furnishes a simplified, self-contained proof of Agmon-Douglis-Niremberg's Lp-estimates for boundary value problems, using the theory of singular integrals and the Hilbert transform. ... Read more

    $89.99 USD

  • Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields

    by Anatoly Kochubei ...
    Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures. Develops a new theory for parabolic equat ... Read more

    $375.00 USD

  • Number Theory with Computations

    by Peter Shiu ...
    Series series Mathematics and Statistics (R0)
    This introductory text is designed for undergraduate courses in number theory, covering both elementary number theory and analytic number theory. The book emphasises computational aspects, including algorithms and their implementation in Python.The book is divided into two parts. The first part, on elementary number theory, deals with concepts such as induction, divisibility, congruences, ... Read more

    $53.99 USD

  • Analytical Methods for Kolmogorov Equations

    by Luca Lorenzi ...
    Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    The second edition of this book has a new title that more accurately reflects the table of contents. Over the past few years, many new results have been proven in the field of partial differential equations. This edition takes those new results into account, in particular the study of nonautonomous operators with unbounded coefficients, which has received great attention. Additionally, this ... Read more

    $225.00 USD