Spectral sets of certain functions associated with Dirichlet series

Hideaki Ishikawa; Yuichi Kamiya

doi:10.1016/j.jmaa.2008.05.089

Spectral sets of certain functions associated with Dirichlet series

Hideaki Ishikawa, Yuichi Kamiya^*

^*Corresponding author for this work

Joint Institute of Teacher Education

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

1 Scopus citations

Abstract

We study spectral sets of functions which are expressed by Dirichlet series on a half-plane. We consider two approaches to study spectral sets of those functions; one is a distribution theoretic approach and the other is an approach to give asymptotic formulas for certain harmonic functions. Our consideration is essentially based on constructing certain expressions and approximations for those functions.

Original language	English
Pages (from-to)	204-223
Number of pages	20
Journal	Journal of Mathematical Analysis and Applications
Volume	347
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2008.05.089
State	Published - 2008/11/01

Keywords

Approximation
Dirichlet series
Euler-Maclaurin summation
Spectral set
Support of distribution
Zeta function

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2008.05.089

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title = "Spectral sets of certain functions associated with Dirichlet series",

abstract = "We study spectral sets of functions which are expressed by Dirichlet series on a half-plane. We consider two approaches to study spectral sets of those functions; one is a distribution theoretic approach and the other is an approach to give asymptotic formulas for certain harmonic functions. Our consideration is essentially based on constructing certain expressions and approximations for those functions.",

keywords = "Approximation, Dirichlet series, Euler-Maclaurin summation, Spectral set, Support of distribution, Zeta function",

author = "Hideaki Ishikawa and Yuichi Kamiya",

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AU - Ishikawa, Hideaki

AU - Kamiya, Yuichi

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AB - We study spectral sets of functions which are expressed by Dirichlet series on a half-plane. We consider two approaches to study spectral sets of those functions; one is a distribution theoretic approach and the other is an approach to give asymptotic formulas for certain harmonic functions. Our consideration is essentially based on constructing certain expressions and approximations for those functions.

KW - Approximation

KW - Dirichlet series

KW - Euler-Maclaurin summation

KW - Spectral set

KW - Support of distribution

KW - Zeta function

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DO - 10.1016/j.jmaa.2008.05.089

M3 - 学術論文

AN - SCOPUS:46449091974

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EP - 223

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Spectral sets of certain functions associated with Dirichlet series

Abstract

Keywords

ASJC Scopus subject areas

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