Integral characterization of elementary definitizable functions

DOI10.1007/BF02570852zbMath0734.43003MaRDI QIDQ810810

P. H. Maserick, El Hassan Youssfi

Publication date: 1992

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

Full work available at URL: https://eudml.org/doc/174380

zbMATH Keywords

truncationintegral representationkernelpower series expansionconditionally positive definite functionssemicharacterscommutative semigroup with involutiondefinitizable functionsLévy-Khinchin formula

Mathematics Subject Classification ID

Positive definite functions on groups, semigroups, etc. (43A35) Linear operators on spaces with an indefinite metric (47B50)

Related Items (2)

Indefinite sequences with a finite order singularity in the complex moment problem ⋮ Harmonic analysis on conelike bodies and holomorphic functions on tube domains

Cites Work

• Exponentially bounded positive definite functions
• Les fonctions de Lévy existent ! (Lévy\(functions\) do exist !)
• Functions with a finite number of negative squares on semigroups
• Moments of measures on convex bodies
• Positive definite functions on Abelian semigroups
• A Levy-Khinchin formula for semigroups with involutions
• Probability distributions on locally compact Abelian groups
• The l 1 -Algebra of a Commutative Semigroup
• [https://portal.mardi4nfdi.de/wiki/Publication:4070065 The L�vy-Hin?in representation of negative definite functions]
• BV-Functions, Positive-Definite Functions and Moment Problems
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