Integral Representations of Positive Definite Functions. II

DOI10.2307/1990835zbMath0058.33201OpenAlexW4251295591MaRDI QIDQ5833433

Allen Devinatz

Publication date: 1954

Full work available at URL: https://doi.org/10.2307/1990835

zbMATH Keywords

integral equations, integral transforms

Related Items (11)

Positive-definiteness and integral representations for special functions ⋮ Reproducing kernel Hilbert spaces and extremal problems for scattering of particles with arbitrary spins ⋮ The measure transition problem for meromorphic polar functions ⋮ Two-dimensional half-strong real moment problem and the corresponding block matrices. I ⋮ Integral representations of second order processes ⋮ Complex positive definite functions on strips ⋮ More determinancy theory for the Livsic moments problem ⋮ On generalized resolvents and an integral representation of Nevanlinna ⋮ On generalized resolvents and an integral representation of Nevanlinna ⋮ The complex moment problem and subnormality: A polar decomposition approach ⋮ On the extensions of positive definite functions

Cites Work

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• Necessary and Sufficient Conditions for the Representation of a Function as a Laplace Integral
• Necessary and sufficient conditions for the representation of a function by a doubly infinite Laplace integral
• Theory of Reproducing Kernels
• Integral Representations of Positive Definite Functions
• Semi-groups of operators and the Weierstrass theorem

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