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Generalized Gaussian measures and a ’functional equation’. III: Measures on \(R^ n\). (English) Zbl 0214.13601


MSC:

46G12 Measures and integration on abstract linear spaces
28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
46N30 Applications of functional analysis in probability theory and statistics
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References:

[1] Corwin, L, Generalized Gaussian measures and a “functional equation”: I, J. functional anal., 5, 412-427, (1970) · Zbl 0192.48802
[2] Corwin, L, Generalized Gaussian measures and a “functional equation”: II, J. functional anal., 6, 481-505, (1970) · Zbl 0202.40603
[3] Feller, W, ()
[4] Kac, M, On a characterization of the normal distribution, Amer. J. math., 61, 726-728, (1969) · Zbl 0022.06102
[5] Rudin, W, Fourier analysis on groups, (1962), Interscience New York · Zbl 0107.09603
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