Simultaneous similarity of convolution operators to powers of the operator of integration

R. A. Zuidwijk

doi:10.1007/BF01060165

Simultaneous similarity of convolution operators to powers of the operator of integration

R. A. Zuidwijk^*

^*Corresponding author for this work

Department of Technology and Operations Management

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

A necessary and sufficient condition is derived for a pair of convolution integral operators to be simultaneously similar to powers of the operator of integration. Also, simultaneous similarity of a pair of general integral operators to a pair of integral operators of convolution type is discussed. The results are compared with the matrix case.

Original language	English
Pages (from-to)	1640-1646
Number of pages	7
Journal	Ukrainian Mathematical Journal
Volume	47
Issue number	10
DOIs	https://doi.org/10.1007/BF01060165
Publication status	Published - Oct 1995

Access to Document

10.1007/BF01060165

Cite this

@article{a145a358237d44f5a6df9649747e80e3,

title = "Simultaneous similarity of convolution operators to powers of the operator of integration",

abstract = "A necessary and sufficient condition is derived for a pair of convolution integral operators to be simultaneously similar to powers of the operator of integration. Also, simultaneous similarity of a pair of general integral operators to a pair of integral operators of convolution type is discussed. The results are compared with the matrix case.",

author = "Zuidwijk, {R. A.}",

year = "1995",

month = oct,

doi = "10.1007/BF01060165",

language = "English",

volume = "47",

pages = "1640--1646",

journal = "Ukrainian Mathematical Journal",

issn = "0041-5995",

publisher = "Springer New York",

number = "10",

}

TY - JOUR

T1 - Simultaneous similarity of convolution operators to powers of the operator of integration

AU - Zuidwijk, R. A.

PY - 1995/10

Y1 - 1995/10

N2 - A necessary and sufficient condition is derived for a pair of convolution integral operators to be simultaneously similar to powers of the operator of integration. Also, simultaneous similarity of a pair of general integral operators to a pair of integral operators of convolution type is discussed. The results are compared with the matrix case.

AB - A necessary and sufficient condition is derived for a pair of convolution integral operators to be simultaneously similar to powers of the operator of integration. Also, simultaneous similarity of a pair of general integral operators to a pair of integral operators of convolution type is discussed. The results are compared with the matrix case.

UR - http://www.scopus.com/inward/record.url?scp=84951645683&partnerID=8YFLogxK

U2 - 10.1007/BF01060165

DO - 10.1007/BF01060165

M3 - Article

AN - SCOPUS:84951645683

SN - 0041-5995

VL - 47

SP - 1640

EP - 1646

JO - Ukrainian Mathematical Journal

JF - Ukrainian Mathematical Journal

IS - 10

ER -

Simultaneous similarity of convolution operators to powers of the operator of integration

Abstract

Access to Document

Other files and links

Fingerprint

Cite this