Fourier Analysis on Linear Metric Spaces

DOI10.2307/1996634zbMath0291.60001OpenAlexW4243093429MaRDI QIDQ4042387

James Kuelbs

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996634

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Convergence of probability measures (60B10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Positive definite functions on groups, semigroups, etc. (43A35) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

Gaussian measures on linear spaces ⋮ Characteristic functionals of probabilistic measures in DS-groups and related topics ⋮ Unnamed Item ⋮ On the central limit theorem in Banach spaces

Cites Work

• Unnamed Item
• Positive definite symmetric functions on linear spaces
• Haar Functions and the Basis Problem for Banach Spaces
• On some classes of linear spaces
• Harmonic Analysis on Certain Vector Spaces
• Existence and Convergence of Probability Measures in Banach Spaces
• Harmonic analysis on Hilbert space

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