Functions with a finite number of negative squares on semigroups

DOI10.1007/BF01470734zbMath0671.43008OpenAlexW1975667982MaRDI QIDQ1119864

Zoltán Sasvári, Christian Berg

Publication date: 1989

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178410

zbMATH Keywords

shift operatorscommutative semigroups with involutionfunctions of finite rankfunctions with k negative squaresPontrjagin spaces

Mathematics Subject Classification ID

Analysis on topological semigroups (22A20) Positive definite functions on groups, semigroups, etc. (43A35) Linear operators on spaces with an indefinite metric (47B50)

Related Items (8)

On a minimal solution for the indefinite multidimensional truncated moment problem ⋮ On quasi-positive definite functions and representations of hypergroups in \(QP_n\) spaces ⋮ Definitizing polynomials of unitary and Hermitian operators in Pontrjagin spaces ⋮ Sharp bounds on the ranks of negativity of certain sums ⋮ \(\alpha\)-positive/\(\alpha\)-negative definite functions on groups ⋮ Indefinite sequences with a finite order singularity in the complex moment problem ⋮ Harmonic analysis on conelike bodies and holomorphic functions on tube domains ⋮ Integral characterization of elementary definitizable functions

Cites Work

• Sequences with finitely many negative squares
• Exponentially bounded indefinite functions
• Note on exponential polynomials
• Positive definite functions and generalizations, an historical survey
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