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Polyanalytic Type Function Spaces

This book is about function spaces aspects of polyanalytic functions, a topic that has gained a lot of attention in the past decades. This book fills a gap in literature and is written by a leading researcher in the field. Rather than studying polyanalytic functions from a complex analysis point of...

Täydet tiedot

Tallennettuna:
Bibliografiset tiedot
Päätekijä: Vasilevski, Nikolai (Tekijä)
Yhteisötekijä: SpringerLink (Online service)
Aineistotyyppi: Elektroninen E-kirja
Kieli:englanti
Julkaistu: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024.
Painos:1st ed. 2024.
Sarja:Operator Theory: Advances and Applications, 305
Aiheet:
Functions of complex variables.
Operator theory.
Several Complex Variables and Analytic Spaces.
Operator Theory.
Functions of a Complex Variable.
Linkit:https://doi.org/10.1007/978-3-031-76181-2
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Sisällysluettelo:
  • 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 Π 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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