A criterion of sampling theorems on banach function spaces

Mitsuo Izuki; Yoshihiro Sawano

doi:10.3836/tjm/1374497524

A criterion of sampling theorems on banach function spaces

Mitsuo Izuki, Yoshihiro Sawano

Graduate School of Education

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

1 Citation (Scopus)

Abstract

In the present paper, we consider sampling theorems on Banach function spaces. Here we obtain a necessary and sufficient condition. For the latter half of the paper, we consider sampling theorems in terms of wavelets.

Original language	English
Pages (from-to)	269-287
Number of pages	19
Journal	Tokyo Journal of Mathematics
Volume	36
Issue number	1
DOIs	https://doi.org/10.3836/tjm/1374497524
Publication status	Published - Jun 1 2013

Keywords

A weight
Banach function space
Sampling theorem
Variable exponent
Wavelet

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.3836/tjm/1374497524

Fingerprint Dive into the research topics of 'A criterion of sampling theorems on banach function spaces'. Together they form a unique fingerprint.

Cite this

@article{3e2a886dc9f94cce95557fc7494d7c56,

title = "A criterion of sampling theorems on banach function spaces",

abstract = "In the present paper, we consider sampling theorems on Banach function spaces. Here we obtain a necessary and sufficient condition. For the latter half of the paper, we consider sampling theorems in terms of wavelets.",

keywords = "A weight, Banach function space, Sampling theorem, Variable exponent, Wavelet",

author = "Mitsuo Izuki and Yoshihiro Sawano",

year = "2013",

month = jun,

day = "1",

doi = "10.3836/tjm/1374497524",

language = "English",

volume = "36",

pages = "269--287",

journal = "Tokyo Journal of Mathematics",

issn = "0387-3870",

publisher = "Publication Committee for the Tokyo Journal of Mathematics",

number = "1",

}

TY - JOUR

T1 - A criterion of sampling theorems on banach function spaces

AU - Izuki, Mitsuo

AU - Sawano, Yoshihiro

PY - 2013/6/1

Y1 - 2013/6/1

N2 - In the present paper, we consider sampling theorems on Banach function spaces. Here we obtain a necessary and sufficient condition. For the latter half of the paper, we consider sampling theorems in terms of wavelets.

AB - In the present paper, we consider sampling theorems on Banach function spaces. Here we obtain a necessary and sufficient condition. For the latter half of the paper, we consider sampling theorems in terms of wavelets.

KW - A weight

KW - Banach function space

KW - Sampling theorem

KW - Variable exponent

KW - Wavelet

UR - http://www.scopus.com/inward/record.url?scp=84890186102&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84890186102&partnerID=8YFLogxK

U2 - 10.3836/tjm/1374497524

DO - 10.3836/tjm/1374497524

M3 - Article

AN - SCOPUS:84890186102

VL - 36

SP - 269

EP - 287

JO - Tokyo Journal of Mathematics

JF - Tokyo Journal of Mathematics

SN - 0387-3870

IS - 1

ER -

A criterion of sampling theorems on banach function spaces

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this