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Poly-Fock Spaces

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Differential Operators and Related Topics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 117))

Abstract

Consider the space L 2(ℂn, dµn), where dµn is the Gaussian measure, and its Fock subspace F2(ℂn) consisting of all analytic (entire) functions in ℂn. We introduce the so-called truepoly-Fock spaces, and prove that L 2 (ℂn, dµn) is the direct sum of the Fock and all true-polyFock spaces.

This work was partially supported by CONACYT Project 3115P-E9607,México.

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References

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Author information

Authors and Affiliations

  1. Departamento de Matemáticas, Cinvestav del I.P.N., Apartado Postal 14-740, 07000, México, D.F., México

    N. L. Vasilevski

Authors
  1. N. L. Vasilevski
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Editor information

Editors and Affiliations

  1. Department of Theoretical Physics, University of Odessa, 270026, Odessa, Ukraine

    V. M. Adamyan

  2. Department of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978, Ramat Aviv, Israel

    I. Gohberg

  3. Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    M. Gorbachuk  & V. Gorbachuk  & 

  4. Department of Mathematics, Vrije Universiteit, De Boelelaan 1081a, 1081 HV, Amsterdam, The Netherlands

    M. A. Kaashoek

  5. Department of Mathematics, Technical University of Vienna, Wiedner Hauptstrasse 8-10/1411, 1040, Vienna, Austria

    H. Langer

  6. Institute of Mathematics, Economics and Mechanics, Odessa State University, 270057, Dvoryanskaya str. 2, Odessa, Ukraine

    G. Popov

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© 2000 Springer Basel AG

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Vasilevski, N.L. (2000). Poly-Fock Spaces. In: Adamyan, V.M., et al. Differential Operators and Related Topics. Operator Theory: Advances and Applications, vol 117. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8403-7_28

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  • DOI: https://doi.org/10.1007/978-3-0348-8403-7_28

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9552-1

  • Online ISBN: 978-3-0348-8403-7

  • eBook Packages: Springer Book Archive

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