Infinite-dimensional non-Gaussian analysis and generalized translation operators
type: Item
instance of: scholarly article
title: Infinite-dimensional non-Gaussian analysis and generalized translation operators
zbMATH Open document ID: 0957.46031
DOI: 10.1007/BF02509620
publication date: 1997-11-04T00:00:00Z
review text: The author considers a family \(T= \{T_x\}_{x\in Q}\) of ``generalized translation operators'' on \(C(Q)\), \(Q\) being a separable complete metric space, and defines characters for such a family. Then he constructs non-Gaussian analogues of the Fock spaces for measures on \(Q\) and gives examples.
Mathematics Subject Classification ID: 46G12
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 28C20
Mathematics Subject Classification ID: 46N30
Mathematics Subject Classification ID: 47N30
zbMATH DE Number: 1053622
zbMATH Keywords: generalized translation operators
zbMATH Keywords: characters
zbMATH Keywords: non-Gaussian analogues of the Fock spaces
author: Yurij M. Berezansky
MaRDI profile type: Publication
cites work: Q4202615
cites work: Non-Gaussian analysis and hypergroups
cites work: Non-Gaussian infinite dimensional analysis
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 1053622