Description

Book Synopsis

Foreword.- Preface.- Introduction.- I Spaces of polyanalytic type in one complex variable.- 1 Extended Fock-space construction approach.- 2 Complex plane C case.- 3 Unit disk D case.- 4 Upper half-plane ? case.- 5 Basis oriented approach.- 6 Approach based on pure isometries.- II Spaces of polyanalytic type in several complex variables.- 7 Multi-operator extended Fock-space construction.- 8 The Cn case.- 9 The unit ball Bn case.- 10 Hilbert spaces with generalized Gaussian measure on C2.- 11 The Siegel domain case.- Bibliography.- Index.

Polyanalytic Type Function Spaces

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    A Hardback by Nikolai Vasilevski

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      Publisher: Birkhäuser
      Publication Date: Publication Date: 01/01/2025
      ISBN13: 9783031761805, 978-3031761805
      ISBN10:
      Also in:
      Mathematics Complex analysis, complex variables

      Description

      Book Synopsis

      Foreword.- Preface.- Introduction.- I Spaces of polyanalytic type in one complex variable.- 1 Extended Fock-space construction approach.- 2 Complex plane C case.- 3 Unit disk D case.- 4 Upper half-plane ? case.- 5 Basis oriented approach.- 6 Approach based on pure isometries.- II Spaces of polyanalytic type in several complex variables.- 7 Multi-operator extended Fock-space construction.- 8 The Cn case.- 9 The unit ball Bn case.- 10 Hilbert spaces with generalized Gaussian measure on C2.- 11 The Siegel domain case.- Bibliography.- Index.

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