Solutions of Tikhonov functional equations and applications to multiplication operators on Szegő spaces
type: Item
instance of: scholarly article
title: Solutions of Tikhonov functional equations and applications to multiplication operators on Szegő spaces
zbMATH Open document ID: 1394.47021
author: L. P. Castro
author: S. Saitoh
author: Akira Yamada
published in: Complex Analysis and Operator Theory
publication date: 2017-04-03T00:00:00Z
full work available at URL: http://hdl.handle.net/10773/16216
review text: Applying the theory of reproducing kernels to the approximate solutions of general bounded linear operator equations and the Hilbert-Schmidt property, the authors provide a natural representation of solutions for Tikhonov functional equations. They also investigate generalized fractional functions formed by the quotient of Bergman functions by Szegő functions through the consideration of the multiplication operators on the Szegő spaces. They also analyze a completeness condition in the Szegő space and the injectivity of certain operator.
reviewed by: Mohammad Sal Moslehian
Mathematics Subject Classification ID: 47A52
Mathematics Subject Classification ID: 46E22
Mathematics Subject Classification ID: 30C40
Mathematics Subject Classification ID: 32A36
Mathematics Subject Classification ID: 47A15
zbMATH DE Number: 6699468
zbMATH Keywords: reproducing kernel
zbMATH Keywords: Moore-Penrose generalized inverse
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: Hilbert-Schmidt operator
zbMATH Keywords: tensor product of Hilbert spaces
zbMATH Keywords: generalized fractional function
zbMATH Keywords: Bergman space
zbMATH Keywords: Szegő space
zbMATH Keywords: multiplication operator
MaRDI profile type: Publication
OpenAlex ID: W2307253036
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DOI: 10.1007/S11785-016-0545-4
description: scientific article; zbMATH DE number 6699468