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^*

^*この論文の責任著者

共同教員養成課程

研究成果: ジャーナルへの寄稿 › 学術論文 › 査読

1 被引用数 (Scopus)

抄録

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.

本文言語	英語
ページ（範囲）	204-223
ページ数	20
ジャーナル	Journal of Mathematical Analysis and Applications
巻	347
号	1
DOI	https://doi.org/10.1016/j.jmaa.2008.05.089
出版ステータス	出版済み - 2008/11/01

ASJC Scopus 主題領域

分析
応用数学

文献へのアクセス

10.1016/j.jmaa.2008.05.089

引用スタイル

@article{aa6ea04f59a24c4590ffa86eaf2fc32f,

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",

year = "2008",

month = nov,

day = "1",

doi = "10.1016/j.jmaa.2008.05.089",

language = "英語",

volume = "347",

pages = "204--223",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Spectral sets of certain functions associated with Dirichlet series

AU - Ishikawa, Hideaki

AU - Kamiya, Yuichi

PY - 2008/11/1

Y1 - 2008/11/1

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=46449091974&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2008.05.089

DO - 10.1016/j.jmaa.2008.05.089

M3 - 学術論文

AN - SCOPUS:46449091974

SN - 0022-247X

VL - 347

SP - 204

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

抄録

ASJC Scopus 主題領域

文献へのアクセス

フィンガープリント

引用スタイル