On the solution of moment problems by reproducing kernel methods

DOI10.1016/0022-247X(88)90400-3zbMath0636.44005MaRDI QIDQ1098047

B. George

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

moment problemreproducing kernel spacescomplex-valued functionNagy Principle Theoremnonnegative measurereproducing kernel methods

Mathematics Subject Classification ID

Moment problems (44A60) Structure theory of linear operators (47A65) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (1)

Orthogonality from disjoint support in reproducing kernel Hilbert spaces

Cites Work

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• Isometric dilations of contractions on Banach spaces
• The representation of functions as Laplace-Stieltjes integrals
• Two parameter moment problems
• On the extensions of positive definite functions
• The multidimensional moment problem
• Moments of measures on Banach spaces
• A moment problem for positive measures on the unit disc
• Moments of measures on convex bodies
• An operator version of a theorem of Kolmogorov
• Multiparameter resolvents
• Multiparameter resolvents. II
• Multi-parameter spectral measures, generalized resolvents, and functions of positive type
• Kernel dilation in reproducing kernel Hilbert space and its application to moment problems
• Spectral measures, generalized resolvents, and functions of positive type
• Naimark's moment theorem
• The Weierstrass Hankel convolution transform
• Triples of operator-valued functions related to the unit circle
• Positive-definite functions on involution semigroups
• Spectral theory of operator-valued transformations
• An application of unitary \(p\)-dilations of Sz.-Nagy and Foias
• A Cosine Functional Equation in Hilbert Space
• On Measurable Positive Definite Operator Functions
• Scattering Theory and Polynomials Orthogonal on the Real Line
• Disintegration with respect to L p-density functions and singular measures
• Cosine Representations of Abelian *-Semigroups and Generalized Cosine Operator Functions
• On orthogonally scattered dilations of bounded vector measures
• Dilations on Involution Semigroups
• Dilations as Propagators of Hilbertian Varieties
• Moment and BV-Functions on Commutative Semigroups
• On Generalized Positive-Definite Functions
• Linear Operators in VH-Spaces
• Toeplitz Operators on H 2 Spaces
• A necessary and sufficient condition for the representation of a function as a Hankel-Stieltjes transform
• Theory of Reproducing Kernels
• A moment problem for self-adjoint operators
• Integral Representations of Positive Definite Functions
• What is the Laplace Transform?
• Positive Functions on C ∗ -Algebras
• On the moment problem for non-positive distributions
• On generalized resolvents and an integral representation of Nevanlinna

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