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

Chapman University, November 2019

  • Book
  • © 2021

Overview

Editors:
  1. Daniel Alpay

    1. Schmid College of Science & Technology, Chapman University, Orange, USA

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  2. Ronen Peretz

    1. Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel

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  3. David Shoikhet

    1. Faculty of Sciences, Holon Institute of Technology, Holon, Israel

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  4. Mihaela B. Vajiac

    1. Schmid College of Science and Technology, Chapman University, Orange, USA

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  • Includes selected contributions from an active field of research
  • Presents papers by leading experts
  • Focusses on various aspects of hypercomplex function theory

Part of the book series: Operator Theory: Advances and Applications (OT, volume 286)

Part of the book sub series: Linear Operators and Linear Systems (LOLS)

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About this book

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 strong presence in several of the papers.A second volume in this series of conferences, this book will appeal to mathematicians interested in learning about new fields of development in function theory.

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Keywords

Table of contents (12 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. On Parseval Frames of Kernel Functions in de Branges Spaces of Entire Vector Valued Functions

    • Sa’ud Al-Sa’di, Eric S. Weber
    Pages 1-18

  3. Differential Subordinations in Harmonic Mappings

    • M. Aydogan, D. Bshouty, S. S. Miller, F. M. Sakar
    Pages 19-27

  4. The Segal–Bargmann Transform in Clifford Analysis

    • Swanhild Bernstein, Sandra Schufmann
    Pages 29-52

  5. On the Carathéodory-Fejér Interpolation Problem for Stieltjes Functions

    • Vladimir Bolotnikov
    Pages 53-85

  6. Harmonic Analysis of Some Arithmetical Functions

    • Roger Gay, Ahmed Sebbar
    Pages 87-137

  7. Symmetric Measures, Continuous Networks, and Dynamics

    • Sergey Bezuglyi, Palle E. T. Jorgensen
    Pages 139-197

  8. Multi Variable Semicircular Processes From ∗-Homomorphisms and Operators

    • Ilwoo Cho, Palle E. T. Jorgensen
    Pages 199-242

  9. Representation Formulae for the Determinant in a Neighborhood of the Identity

    • Denis Constales, Alí Guzmán Adán
    Pages 243-257

  10. Parametrization of the Solution Set of a Matricial Truncated Hamburger Moment Problem by a Schur Type Algorithm

    • Bernd Fritzsche, Bernd Kirstein, Susanne Kley, Conrad Mädler
    Pages 259-328

  11. The Wiener Algebra and Singular Integrals

    • E. Liflyand
    Pages 329-339

  12. Techniques to Derive Estimates for Integral Means and Other Geometric Quantities Related to Conformal Mappings

    • Ronen Peretz
    Pages 341-354

  13. Complex Ternary Analysis and Applications

    • M. B. Vajiac
    Pages 355-384
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Editors and Affiliations

  • Schmid College of Science & Technology, Chapman University, Orange, USA

    Daniel Alpay

  • Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel

    Ronen Peretz

  • Faculty of Sciences, Holon Institute of Technology, Holon, Israel

    David Shoikhet

  • Schmid College of Science and Technology, Chapman University, Orange, USA

    Mihaela B. Vajiac

Bibliographic Information

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

  • Book Subtitle: Chapman University, November 2019

  • Editors: Daniel Alpay, Ronen Peretz, David Shoikhet, Mihaela B. Vajiac

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-030-76473-9

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-76472-2Published: 21 December 2021

  • Softcover ISBN: 978-3-030-76475-3Published: 22 December 2022

  • eBook ISBN: 978-3-030-76473-9Published: 01 January 2022

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XII, 384

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Functional Analysis, Operator Theory, Functions of a Complex Variable

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