Unique disintegration of arbitrary positive definite functions on \(*\)- divisible semigroups

DOI10.1007/BF01160953zbMath0739.43006MaRDI QIDQ1812603

Paul Ressel, Torben Maack Bisgaard

Publication date: 25 June 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174023

zbMATH Keywords

Laplace transformBorel measurescharacter spacepositive Radon measureperfectionbounded charactersAbelian semigroup with involutionbounded positive definite functionquasiperfection

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items

Positivity and cohomology for involutive semigroups ⋮ Extension of characters on *-semigroups ⋮ Semigroups of moment functions ⋮ Method of moments on semigroups ⋮ The two-sided complex moment problem ⋮ Smooth positive definite functions on some multiplicative semigroups ⋮ Moment problems on subsemigroups of \({\mathbb{N}{}}^ k_ 0\) and \({\mathbb{Z}{}}^ k\) ⋮ An Example of a Positive Semidefinite Double Sequence Which is Not a Moment Sequence ⋮ Stieltjes Perfect Semigroups are Perfect ⋮ Extending positive definiteness ⋮ On the Stieltjes moment problem on semigroups

Cites Work

• Extension of characters on *-semigroups
• Unnamed Item

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