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  • © 2016

Noncommutative Analysis, Operator Theory and Applications

Birkhäuser
  • 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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  • ISBN: 978-3-319-29116-1
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Softcover Book EUR 109.99
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Hardcover Book EUR 109.99
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Table of contents (13 chapters)

  1. Front Matter

    Pages i-vii
  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. Clifford–Hermite Polynomials in Fractional Clifford Analysis

    • Paula Cerejeiras, Nelson Vieira
    Pages 81-95
  6. Negative Definite Functions on Groups with Polynomial Growth

    • Fabio Cipriani, Jean-Luc Sauvageot
    Pages 97-104
  7. An Introduction to Superoscillatory Sequences

    • Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
    Pages 105-121
  8. Measurements vs. Interactions: Tracks in a Wilson Cloud Chamber

    • Gianfausto Dell’Antonio
    Pages 171-180
  9. The Radii Problems for Holomorphic Mappings in J*-algebras

    • Mark Elin, David Shoikhet
    Pages 181-192
  10. Lévy Processes on Quantum Permutation Groups

    • Uwe Franz, Anna Kula, Adam Skalski
    Pages 193-259
  11. New Results on Old Spectral Triples for Fractals

    • Daniele Guido, Tommaso Isola
    Pages 261-270
  12. Why Are Orlicz Spaces Useful for Statistical Physics?

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

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.

Keywords

  • free analysis
  • free probability
  • infinite dimensional analysis
  • noncommutative analysis
  • noncommutative geometry
  • operator algebras

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

Bibliographic Information

  • Book Title: Noncommutative Analysis, Operator Theory and Applications

  • Editors: Daniel Alpay, Fabio Cipriani, Fabrizio Colombo, Daniele Guido, Irene Sabadini, Jean-Luc Sauvageot

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-319-29116-1

  • Publisher: Birkhäuser Cham

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

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-29114-7Published: 07 July 2016

  • Softcover ISBN: 978-3-319-80492-7Published: 31 May 2018

  • eBook ISBN: 978-3-319-29116-1Published: 30 June 2016

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: VII, 283

  • Number of Illustrations: 18 b/w illustrations, 2 illustrations in colour

  • Topics: Functional Analysis, Operator Theory, Global Analysis and Analysis on Manifolds

Buying options

eBook EUR 85.59
Price includes VAT (Finland)
  • ISBN: 978-3-319-29116-1
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book EUR 109.99
Price includes VAT (Finland)
  • ISBN: 978-3-319-80492-7
  • Dispatched in 3 to 5 business days
  • Exclusive offer for individuals only
  • Free shipping worldwide
    See shipping information.
  • Tax calculation will be finalised during checkout
Hardcover Book EUR 109.99
Price includes VAT (Finland)
  • ISBN: 978-3-319-29114-7
  • Dispatched in 3 to 5 business days
  • Exclusive offer for individuals only
  • Free shipping worldwide
    See shipping information.
  • Tax calculation will be finalised during checkout