On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution

被引：24

作者：

Pilipovic, Stevan ^{[1
]}

Prangoski, Bojan ^{[2
]}

Vindas, Jasson ^{[3
]}

机构：

[1] Univ Novi Sad, Dept Math & Informat, Trg Dositeja Obradovica 4, Novi Sad 21000, Serbia

[2] Univ Ss Cyril & Methodius, Fac Mech Engn, Karpos 2 Bb, Skopje 1000, Macedonia

[3] Univ Ghent, Dept Math, Krijgslaan 281 Gebouw S22, B-9000 Ghent, Belgium

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2018年 / 116卷

关键词：

Convolution; Parametrix method; Quasianalytic classes; Ultradifferentiable functions; Ultradistributions; Gelfand-Shilov spaces; APPROXIMATION PROPERTY; BANACH-SPACES; MIXED-NORM; ULTRADISTRIBUTIONS; DISTRIBUTIONS; TRANSFORM; PRODUCT; FORMULA;

D O I：

10.1016/j.matpur.2017.10.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop a convolution theory for quasianalytic ultradistributions of Gelfand-Shilov type. We also construct a special class of ultrapolynomials, and use it as a base for the parametrix method in the study of new topological and structural properties of several quasianalytic spaces of functions and ultradistributions. In particular, our results apply to Fourier hyperfunctions and Fourier ultra-hyperfunctions. (C) 2017 Elsevier Masson SAS. All rights reserved.

引用

页码：174 / 210

页数：37

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