HYPERBOLIC LEBESGUE CONSTANTS IN DIMENSION TWO

E. Liflyand

doi:10.1007/s10958-022-05870-4

HYPERBOLIC LEBESGUE CONSTANTS IN DIMENSION TWO

E. Liflyand

Department of Mathematics

Southern Federal University

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

Abstract

We present a very detailed proof of the growth of the Lebesgue constants of hyperbolic Bochner-Riesz means for double Fourier series.

Original language	English
Pages (from-to)	4-25
Number of pages	22
Journal	Journal of Mathematical Sciences
Volume	266
Issue number	1
DOIs	https://doi.org/10.1007/s10958-022-05870-4
State	Published - Sep 2022

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Funding

The author is indebted to the referees for thorough reading and valuable suggestions.

Keywords

Fourier transform
Hyperbolic cross
Lebesgue constant
Multiplier

Access to Document

10.1007/s10958-022-05870-4

Cite this

@article{a185c91e8db547478167956412fbb05e,

title = "HYPERBOLIC LEBESGUE CONSTANTS IN DIMENSION TWO",

abstract = "We present a very detailed proof of the growth of the Lebesgue constants of hyperbolic Bochner-Riesz means for double Fourier series.",

keywords = "Fourier transform, Hyperbolic cross, Lebesgue constant, Multiplier",

author = "E. Liflyand",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2022",

month = sep,

doi = "10.1007/s10958-022-05870-4",

language = "אנגלית",

volume = "266",

pages = "4--25",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "1",

}

TY - JOUR

T1 - HYPERBOLIC LEBESGUE CONSTANTS IN DIMENSION TWO

AU - Liflyand, E.

PY - 2022/9

Y1 - 2022/9

N2 - We present a very detailed proof of the growth of the Lebesgue constants of hyperbolic Bochner-Riesz means for double Fourier series.

AB - We present a very detailed proof of the growth of the Lebesgue constants of hyperbolic Bochner-Riesz means for double Fourier series.

KW - Fourier transform

KW - Hyperbolic cross

KW - Lebesgue constant

KW - Multiplier

UR - http://www.scopus.com/inward/record.url?scp=85135829140&partnerID=8YFLogxK

U2 - 10.1007/s10958-022-05870-4

DO - 10.1007/s10958-022-05870-4

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85135829140

SN - 1072-3374

VL - 266

SP - 4

EP - 25

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

IS - 1

ER -

HYPERBOLIC LEBESGUE CONSTANTS IN DIMENSION TWO

Abstract

Bibliographical note

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Cite this