Surjectivity of Hadamard type operators on spaces of smooth functions

DOI10.1007/S13398-018-0560-6zbMath1437.46030OpenAlexW2870574915WikidataQ129551429 ScholiaQ129551429MaRDI QIDQ2314687

Michael Langenbruch, Paweł Domański

Publication date: 29 July 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-018-0560-6

zbMATH Keywords

Mellin transformspectrumDirichlet seriesinvertibilityglobal solvabilitysmooth functionsEuler differential operatorsEuler differential dilation operatorsfractional Euler differential operatorsHadamard-type operatorsmoment sequence of distributionsmultiplicative convolution operatorstheorem of supports

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Linear operators on function spaces (general) (47B38) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (2)

Operators of almost Hadamard type and Hardy-Littlewood operator in the space of entire functions of several complex variables ⋮ Surjectivity of Euler type differential operators on spaces of smooth functions

Cites Work

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