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Birkhäuser

Noncommutative Analysis, Operator Theory and Applications

  • Book
  • © 2016

Overview

Editors:
  1. Daniel Alpay

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

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  2. Fabio Cipriani

    1. Ap 103 B1, Milano, Italy

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  3. Fabrizio Colombo

    1. Dipartimento di Matematica, Politec, Milano, Italy

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  4. Daniele Guido

    1. Dipartimento di Matematica, Università di Roma "Tor Vergata", Roma, Italy

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  5. Irene Sabadini

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

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  6. Jean-Luc Sauvageot

    1. Institut de Mathématiques, Université Pierre et Marie Curie, Paris Cedex 05, France

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  • Covers several aspects of the current research activity in operator theory, operator algebras and applications, which are rarely brought together in the same volume
  • Presents an updated state-of-the-art of the current research of several first rate mathematicians

Part of the book series: Operator Theory: Advances and Applications (OT, volume 252)

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

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-vii
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  2. Pimsner Algebras and Circle Bundles

    • Francesca Arici, Francesco D’Andrea, Giovanni Landi
    Pages 1-25

  3. A Fractional Dirac Operator

    • Swanhild Bernstein
    Pages 27-41

  4. On the Sylvester Equation over Quaternions

    • Vladimir Bolotnikov
    Pages 43-75

  5. The Essential Centre of the mod a Diagonalization Ideal Commutant of an n-tuple of Commuting Hermitian Operators

    • Jean Bourgain, Dan-Virgil Voiculescu
    Pages 77-80

  6. Clifford–Hermite Polynomials in Fractional Clifford Analysis

    • Paula Cerejeiras, Nelson Vieira
    Pages 81-95

  7. Negative Definite Functions on Groups with Polynomial Growth

    • Fabio Cipriani, Jean-Luc Sauvageot
    Pages 97-104

  8. An Introduction to Superoscillatory Sequences

    • Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
    Pages 105-121

  9. Restriction and Factorization for Isometric and Symmetric Operators in Almost Pontryagin Spaces

    • Henk de Snoo, Harald Woracek
    Pages 123-170

  10. Measurements vs. Interactions: Tracks in a Wilson Cloud Chamber

    • Gianfausto Dell’Antonio
    Pages 171-180

  11. The Radii Problems for Holomorphic Mappings in J*-algebras

    • Mark Elin, David Shoikhet
    Pages 181-192

  12. Lévy Processes on Quantum Permutation Groups

    • Uwe Franz, Anna Kula, Adam Skalski
    Pages 193-259

  13. New Results on Old Spectral Triples for Fractals

    • Daniele Guido, Tommaso Isola
    Pages 261-270

  14. Why Are Orlicz Spaces Useful for Statistical Physics?

    • W. Adam Majewski, Louis E. Labuschagne
    Pages 271-283
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Keywords

About this book

This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics. It is addressed to specialists but also to graduate students in several fields including global analysis, Schur analysis, complex analysis, C*-algebras, noncommutative geometry, operator algebras, operator theory and their applications.

Contributors: F. Arici, S. Bernstein, V. Bolotnikov, J. Bourgain, P. Cerejeiras, F. Cipriani, F. Colombo, F. D'Andrea, G. Dell'Antonio, M. Elin, U. Franz, D. Guido, T. Isola, A. Kula, L.E. Labuschagne, G. Landi, W.A. Majewski,  I. Sabadini, J.-L. Sauvageot, D. Shoikhet, A. Skalski, H. de Snoo, D. C. Struppa, N. Vieira, D.V. Voiculescu, and H. Woracek.

Editors and Affiliations

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

    Daniel Alpay

  • Ap 103 B1, Milano, Italy

    Fabio Cipriani

  • Dipartimento di Matematica, Politec, Milano, Italy

    Fabrizio Colombo

  • Dipartimento di Matematica, Università di Roma "Tor Vergata", Roma, Italy

    Daniele Guido

  • Politecnico di Milano, Dipartimento di M, Milano, Italy

    Irene Sabadini

  • Institut de Mathématiques, Université Pierre et Marie Curie, Paris Cedex 05, France

    Jean-Luc Sauvageot

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