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  • Exercises in Applied Mathematics

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

    de 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 ... Leer más

    $80.99 USD

  • Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions

    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 ... Leer más

    $161.99 USD

  • Quaternionic de Branges Spaces and Characteristic Operator Function

    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) ... Leer más

    $53.99 USD

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

    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 ... Leer más

    $49.99 USD

  • Schur Analysis and Applications to Hypercomplex Analysis, Neural Networks, and Linear Systems

    Chapman University, January 2024

    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 ... Leer más

    $197.99 USD

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

    IWOTA 2021, Chapman University

    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. ... Leer más

    $215.99 USD

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

    A Volume in Honor of V.E. Katsnelson

    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 ... Leer más

    $152.99 USD

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

    Chapman University, November 2019

    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 ... Leer más

    $143.99 USD

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    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. ... Leer más

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

    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 ... Leer más

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  • Number Theory with Computations

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    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, ... Leer más

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  • Number Theory with an Emphasis on the Markoff Spectrum

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    Series series Lecture Notes in Pure and Applied Mathematics
    Presenting the proceedings of a recently held conference in Provo, Utah, this reference provides original research articles in several different areas of number theory, highlighting the Markoff spectrum.;Detailing the integration of geometric, algebraic, analytic and arithmetic ideas, Number Theory with an Emphasis on the Markoff Spectrum contains refereed contributions on: general problems of ... Leer más

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