On the extensions of positive definite functions

DOI10.1007/BF02559570zbMath0100.10601MaRDI QIDQ774091

Allen Devinatz

Publication date: 1959

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

integral equations, integral transforms

Related Items

On the solution of moment problems by reproducing kernel methods, Local semigroups of contractions and some applications to Fourier representation theorems, Von Neumann indices and classes of positive definite functions, On extensions of indefinite functions defined on a rectangle, Strictly and non-strictly positive definite functions on spheres, Parameterization of the extrapolations in the Kreĭn-Schwartz theorem and the entropy maximizer: the scalar case, Extension of local positive definite \(\mathbb{Z}_2^n\)-superfunctions, Extension of positive definite functions, Extension of positive definite functions and associated entropy. The multidimensional case, Integral Representation of Functions and Distributions Positive Definite Relative to the Orthogonal Group, Multiparameter resolvents, Multiparameter resolvents. II, Extensions of operator valued positive definite functions and commutant lifting on ordered groups, Decomposition of positive definite functions defined on a neighbourhood of the identity, On generalized resolvents and an integral representation of Nevanlinna, On generalized resolvents and an integral representation of Nevanlinna, Positive definite functions of infinitely many variables in a layer, Trigonometric moment problems for arbitrary finite subsets of $\mathbb Z^n$, Unitary extensions of two-parameter local semigroups of isometric operators and the Krein extension theorem, Semigroups of measures in non-commutative harmonic analysis, A lifting theorem for subordinated invariant kernels

Cites Work

• The representation of functions as Laplace-Stieltjes integrals
• Two parameter moment problems
• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• Contributions to the theory of closed Hermitian transformations of deficiency index \((m, m)\)
• Theory of Reproducing Kernels
• Integral Representations of Positive Definite Functions
• Integral Representations of Positive Definite Functions. II
• Semi-groups of operators and the Weierstrass theorem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item