Some applications of the spectral theory for the integral transform involving the spectral representation
type: Item
instance of: scholarly article
title: Some applications of the spectral theory for the integral transform involving the spectral representation
zbMATH Open document ID: 1390.47006
DOI: 10.1155/2012/573602
author: Hyun Soo Chung
author: Seung Jun Chang
published in: Journal of Function Spaces and Applications
publication date: 2013-02-05T00:00:00Z
review text: Summary: In many previous papers, an integral transform \(\mathcal F_{\gamma, \beta}\) was just considered as a transform on appropriate function spaces. In this paper we deal with the integral transform as an operator on a function space. We then apply various operator theories to \(\mathcal F_{\gamma, \beta}\). Finally we give an application for the spectral representation of a self-adjoint operator which plays a key role in quantum mechanics.
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 28C20
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 45P05
zbMATH DE Number: 6134546
zbMATH Keywords: spectral representation
zbMATH Keywords: integral transform
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/573602
OpenAlex ID: W2124801739
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Wikidata QID: Q58908315
description: scientific article; zbMATH DE number 6134546