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Advances in Complex Analysis and Operator Theory

Festschrift in Honor of Daniel Alpay’s 60th Birthday

  • Book
  • © 2017

Overview

Editors:
  1. Fabrizio Colombo

    1. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

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  2. Irene Sabadini

    1. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

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  3. Daniele C. Struppa

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

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  4. Mihaela B. Vajiac

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

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  • Illustrates recent developments in several directions of (hyper)complex analysis, operator theory, and infinite dimensional analysis
  • Presents new perspectives and current trends for researchers interested in the aforementioned topics
  • Contains contributions written by leading experts

Part of the book series: Trends in Mathematics (TM)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-viii
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  2. Classes of de Branges Matrices and Corresponding de Branges Spaces

    • Damir Z. Arov, Harry Dym
    Pages 1-17

  3. Divided Differences and Two-sided Polynomial Interpolation Over Quaternions

    • Vladimir Bolotnikov
    Pages 19-35

  4. Fischer Decomposition in Generalized Fractional Clifford Analysis

    • P. Cerejeiras, A. Fonseca, U. Kähler, N. Vieira
    Pages 37-53

  5. Free Products of C*-Probability Spaces from p-Adic Hecke Algebras

    • Il Woo Cho, Palle E. T. Jorgensen
    Pages 55-99

  6. An Introduction to Fractional Powers of Quaternionic Operators and New Fractional Diffusion Processes

    • Fabrizio Colombo, Jonathan Gantner
    Pages 101-134

  7. Finite-dimensional Self-adjoint Extensions of a Symmetric Operator with Finite Defect and their Compressions

    • Aad Dijksma, Heinz Langer
    Pages 135-163

  8. On the Structure of Hausdorff Moment Sequences of Complex Matrices

    • Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
    Pages 165-217

  9. On Some Extremal Problems for Analytic Functions with Constraints on Real or Imaginary Parts

    • Juliette Leblond, Dmitry Ponomarev
    Pages 219-236

  10. A Burns–Krantz-type Theorem for Pseudo-contractive Mappings

    • Marina Levenshtein, David Shoikhet
    Pages 237-246

  11. Spectral Convergence of Large Block-Hankel Gaussian Random Matrices

    • Philippe Loubaton, Xavier Mestre
    Pages 247-280

  12. Bernstein-type Inequalities for Bicomplex Polynomials

    • I. Sabadini, A. Vajiac, M. B. Vajiac
    Pages 281-299

  13. Finite Unions of Intervals, Part I

    • Ahmed Sebbar
    Pages 301-345

  14. Directing Functionals and De Branges Space Completions in Almost Pontryagin Spaces

    • Harald Woracek
    Pages 347-398
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Keywords

About this book

This book gathers contributions written by Daniel Alpay’s friends and collaborators. Several of the papers were presented at the International Conference on Complex Analysis and Operator Theory held in honor of Professor Alpay’s 60th birthday at Chapman University in November 2016. The main topics covered are complex analysis, operator theory and other areas of mathematics close to Alpay’s primary research interests.

The book is recommended for mathematicians from the graduate level on, working in various areas of mathematical analysis, operator theory, infinite dimensional analysis, linear systems, and stochastic processes.

Editors and Affiliations

  • Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Fabrizio Colombo, Irene Sabadini

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

    Daniele C. Struppa, Mihaela B. Vajiac

Bibliographic Information

  • Book Title: Advances in Complex Analysis and Operator Theory

  • Book Subtitle: Festschrift in Honor of Daniel Alpay’s 60th Birthday

  • Editors: Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa, Mihaela B. Vajiac

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-62362-7

  • Publisher: Birkhäuser Cham

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

  • Copyright Information: Springer International Publishing AG 2017

  • Hardcover ISBN: 978-3-319-62361-0Published: 11 October 2017

  • Softcover ISBN: 978-3-319-87301-5Published: 18 August 2018

  • eBook ISBN: 978-3-319-62362-7Published: 30 September 2017

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: VIII, 398

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

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