On some properties of modulation spaces as Banach algebras

被引：0

作者：

Feichtinger, Hans g. ^{[1
,2
]}

Kobayashi, Masaharu ^{[3
]}

Sato, Enji ^{[4
]}

机构：

[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria

[2] Austrian Acad Sci, Acoust Res Inst, Vienna, Austria

[3] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

[4] Yamagata Univ Y, Fac Sci, Yamagata, Yamagata 9908560, Japan

来源：

STUDIA MATHEMATICA | 2025年 / 280卷 / 01期

关键词：

modulation spaces; Wiener-Levy theorem; set of spectral synthe-; sis; Segal algebra; PSEUDODIFFERENTIAL CALCULUS; CONTINUITY PROPERTIES; IDEALS;

D O I：

10.4064/sm240316-9-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give some properties of the modulation spaces Msp,1(Rn) as commutative Banach algebras. In particular, we prove the Wiener-Levy theorem for Msp,1(Rn), and clarify the sets of spectral synthesis for Msp,1(Rn) by using the "ideal theory for Segal algebras" developed by Reiter. The inclusion relationship between the modulation space 0 (R) and the Fourier Segal algebra FAp(R) is also determined.

引用

页码：55 / 86

页数：32

共 50 条

[31] Equivalence of some properties in the theory of Banach algebras and applications
Ben Amara, Khaled
Jeribi, Aref
Kaddachi, Najib
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 520 (01)
[32] Some spectral properties of multipliers on commutative Banach algebras
Mustafayev H.
Bashirov N.
Bollettino dell'Unione Matematica Italiana, 2017, 10 (4) : 517 - 527
[33] On Homological Properties of Some Module Derivations on Banach Algebras
Inceboz, Hulya
Arslan, Berna
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2016, 34 (02): : 169 - 188
[34] Some ergodic properties of multipliers on commutative Banach algebras
Mustafayev, Heybetkulu
Topal, Hayri
TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (03) : 1721 - 1729
[35] A class of polynomials from Banach spaces into Banach algebras
Lourenço, ML
Moraes, LA
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2001, 37 (04) : 521 - 529
[36] DISCUSSIONS ON PARTIAL ISOMETRIES IN BANACH SPACES AND BANACH ALGEBRAS
Alahmari, Abdulla
Mabrouk, Mohamed
Taoudi, Mohamed Aziz
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (02) : 485 - 495
[37] Cohomology of Banach algebras of operators and geometry of Banach spaces
Blanco, Ariel
Gronbeek, Niels
FUNCTION SPACES, 2007, 435 : 57 - 80
[38] Generalization of some properties of Banach algebras to fundamental locally multiplicative topological algebras
Zohri, Ali
Jabbari, Ali
TURKISH JOURNAL OF MATHEMATICS, 2012, 36 (03) : 445 - 451
[39] Algebras of analytic functions on Banach spaces
Zagorodnyuk, A. V.
CARPATHIAN MATHEMATICAL PUBLICATIONS, 2009, 1 (01) : 15 - 34
[40] Polynomial algebras on classical Banach spaces
Hajek, P
ISRAEL JOURNAL OF MATHEMATICS, 1998, 106 (1) : 209 - 220

← 1 2 3 4 5 →