Extensions of positive-definite functions

DOI10.1090/memo/0117zbMath0258.43014OpenAlexW2069103595MaRDI QIDQ5673896

John R. McMullen

Publication date: 1972

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0117

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Positive definite functions on groups, semigroups, etc. (43A35) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (19)

The Rajchman algebra \(B_{0}(G)\) of a locally compact group \(G\) ⋮ Weak amenability of Banach algebras on locally compact groups ⋮ Extending positive definite functions from subgroups of nilpotent locally compact groups ⋮ Multipliers and modulus on Banach algebras related to locally compact groups ⋮ Compactifications of semitopological semigroups ⋮ A bipolar property of subgroups and translation invariant closed convex subsets ⋮ Spectral synthesis in Fourier algebras of ultrapherical hypergroups ⋮ Beurling-Fourier algebras on Lie groups and their spectra ⋮ Spectral synthesis for $A(G)$ and subspaces of $VN(G)$ ⋮ Fourier-Stieltjes algebras and measure algebras on compact right topological groups ⋮ Symmetry in Fourier-Stieltjes algebras ⋮ On the restriction map of the Fourier-Stieltjes algebra \(B(G)\) and \(B_p(G)\) ⋮ Weak amenability of Fourier algebras and local synthesis of the anti-diagonal ⋮ An extension property for the Figà-Talamanca Herz algebra ⋮ Extension of positive definite functions from subgroups of nilpotent locally compact groups ⋮ Orlicz Figà-Talamanca Herz algebras and invariant means ⋮ A separation property of positive definite functions on locally compact groups and applications to Fourier algebras ⋮ Extension and separation properties of positive definite functions on locally compact groups ⋮ A duality between locally compact groups and certain Banach algebras

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