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Integral representations of resolvents and semigroups. / Arendt, Wolfgang; Bukhvalov, Alexander V.

In: Forum Mathematicum, Vol. 6, No. 6, 01.01.1994, p. 111-135.

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

Harvard

Arendt, W & Bukhvalov, AV 1994, 'Integral representations of resolvents and semigroups', Forum Mathematicum, vol. 6, no. 6, pp. 111-135. https://doi.org/10.1515/form.1994.6.111

APA

Arendt, W., & Bukhvalov, A. V. (1994). Integral representations of resolvents and semigroups. Forum Mathematicum, 6(6), 111-135. https://doi.org/10.1515/form.1994.6.111

Vancouver

Arendt W, Bukhvalov AV. Integral representations of resolvents and semigroups. Forum Mathematicum. 1994 Jan 1;6(6):111-135. https://doi.org/10.1515/form.1994.6.111

Author

Arendt, Wolfgang ; Bukhvalov, Alexander V. / Integral representations of resolvents and semigroups. In: Forum Mathematicum. 1994 ; Vol. 6, No. 6. pp. 111-135.

BibTeX

@article{7cfba99a4f034804b21d3a7e3fcfc320,
title = "Integral representations of resolvents and semigroups",
abstract = "The goal of this paper is to find out under which conditions the resolvent R(λ,A) of the generator A of a positive semigroup T = (T(t))t≥0 on the space LP(Ω) (1≤p ≤∞) is an integral operator. For this purpose we investigate the integral representability of some integrals of operator-valued functions (Theorems 2.1 and 2.10).",
keywords = "integral representations, SCOPUS, WOS",
author = "Wolfgang Arendt and Bukhvalov, {Alexander V.}",
note = "Arendt, W. Integral representations of resolvents and semigroups / W. Arendt, A. V. Bukhvalov // Forum Mathematicum. - 1994. - Volume 6, Issue 1. - P. 111-135.",
year = "1994",
month = jan,
day = "1",
doi = "10.1515/form.1994.6.111",
language = "English",
volume = "6",
pages = "111--135",
journal = "Forum Mathematicum",
issn = "0933-7741",
publisher = "De Gruyter",
number = "6",

}

RIS

TY - JOUR

T1 - Integral representations of resolvents and semigroups

AU - Arendt, Wolfgang

AU - Bukhvalov, Alexander V.

N1 - Arendt, W. Integral representations of resolvents and semigroups / W. Arendt, A. V. Bukhvalov // Forum Mathematicum. - 1994. - Volume 6, Issue 1. - P. 111-135.

PY - 1994/1/1

Y1 - 1994/1/1

N2 - The goal of this paper is to find out under which conditions the resolvent R(λ,A) of the generator A of a positive semigroup T = (T(t))t≥0 on the space LP(Ω) (1≤p ≤∞) is an integral operator. For this purpose we investigate the integral representability of some integrals of operator-valued functions (Theorems 2.1 and 2.10).

AB - The goal of this paper is to find out under which conditions the resolvent R(λ,A) of the generator A of a positive semigroup T = (T(t))t≥0 on the space LP(Ω) (1≤p ≤∞) is an integral operator. For this purpose we investigate the integral representability of some integrals of operator-valued functions (Theorems 2.1 and 2.10).

KW - integral representations

KW - SCOPUS

KW - WOS

UR - http://www.scopus.com/inward/record.url?scp=84948370170&partnerID=8YFLogxK

U2 - 10.1515/form.1994.6.111

DO - 10.1515/form.1994.6.111

M3 - Article

AN - SCOPUS:84948370170

VL - 6

SP - 111

EP - 135

JO - Forum Mathematicum

JF - Forum Mathematicum

SN - 0933-7741

IS - 6

ER -

ID: 36781491