Algebra homomorphisms from cosine convolution algebras
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Publication:940772
DOI10.1007/s11856-008-1012-3zbMath1147.47033OpenAlexW1999944444MaRDI QIDQ940772
Publication date: 3 September 2008
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11856-008-1012-3
convolution productsintegral transformsBanach algebracosine functionsalgebra homomorphismscosine convolution productpseudo-resolventsWeyl fractional calculus
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Laplace transform (44A10) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Integrated semigroups (47D62) (L^1)-algebras on groups, semigroups, etc. (43A20)
Related Items
Convolution algebraic structures defined by Hardy-type operators ⋮ Algebra homomorphisms defined via convoluted semigroups and cosine functions ⋮ Catalan generating functions for generators of Uni-parametric families of operators
Cites Work
- Vector-valued cosine transforms
- Integral transforms and their applications. 2nd ed
- Integral transforms of Fourier cosine convolution type
- On the equivalence of a theorem of Kisynski and the Hille-Yosida generation theorem
- Around Widder's characterization of the Laplace transform of an element of $L^{∞}(ℝ^{+})$
- Uniformly bounded limit of fractional homomorphisms
- A GENERALIZATION OF THE WIDDER–ARENDT THEOREM
- Almost-distribution cosine functions and integrated cosine functions
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