Quadratic Forms in Harmonic Analysis and the Bochner-Eberlein Theorem

DOI10.2307/2040142zbMath0285.43010OpenAlexW4230902675MaRDI QIDQ4772230

Roger A. Horn

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/2040142

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Positive definite functions in one variable harmonic analysis (42A82) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Positive definite functions on groups, semigroups, etc. (43A35) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (7)

On the Besov regularity of periodic Lévy noises ⋮ Multidimensional Lévy white noise in weighted Besov spaces ⋮ On inequalities between Hermitian and symmetric forms ⋮ On the moments of complex measures ⋮ On fractional Hadamard powers of positive definite matrices ⋮ Gaussian and sparse processes are limits of generalized Poisson processes ⋮ The extension problem for measurable positive definite functions

Cites Work

• On inequalities between Hermitian and symmetric forms
• Necessary and sufficient conditions in the theory of Fourier transforms
• Characterizations of Fourier-Stieltjes transforms
• Lectures on Fourier Integrals. (AM-42)
• Projections on Invariant Subspaces
• Fourier Transforms of Certain Classes of Integrable Functions
• A theorem on Fourier-Stieltjes integrals

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