\(\mathcal{E}'\) as an algebra by multiplicative convolution

DOI10.7169/FACM/1719zbMath1504.47117arXiv1509.05759OpenAlexW3101340826MaRDI QIDQ1624180

Dietmar Vogt

Publication date: 15 November 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05759

zbMATH Keywords

Euler operatorsdistributions with compact supportHadamard operatorsmonomials as eigenvectorsoperators on smooth functions

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (6)

Euler partial differential equations and Schwartz distributions ⋮ Operators of almost Hadamard type and Hardy-Littlewood operator in the space of entire functions of several complex variables ⋮ Surjectivity of Hadamard type operators on spaces of smooth functions ⋮ Global right inverses for Euler type differential operators on the space of smooth functions ⋮ Surjectivity of Euler type differential operators on spaces of smooth functions ⋮ Hadamard type operators on temperate distributions

Cites Work

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• Hadamard multipliers on spaces of real analytic functions
• Surjectivity of Euler operators on temperate distributions
• Hadamard type operators on spaces of real analytic functions in several variables
• Théorie des hyperfonctions
• Randverteilungen analytischer Funktionen und Distributionen
• Representation of multipliers on spaces of real analytic functions
• COMPLETELY INVERSIBLE OPERATORS
• Distributions
• Algebra of multipliers on the space of real analytic functions of one variable
• Operators of Hadamard type on spaces of smooth functions

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