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Duality and harmonic analysis on central topological groups. I

✍ Scribed by Siegfried Grosser; Richard Mosak; Martin Moskowitz

Book ID
108046836
Publisher
Elsevier Science
Year
1973
Weight
938 KB
Volume
76
Category
Article
ISSN
1385-7258

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πŸ“œ SIMILAR VOLUMES

Duality and harmonic analysis on central
Duality and harmonic analysis on central topological groups. II
✍ Siegfried Grosser; Richard Mosak; Martin Moskowitz πŸ“‚ Article πŸ“… 1973 πŸ› Elsevier Science βš– 851 KB

In [8] a Fourier inversion formula was derived for functions in the linear span [8(Li) n @] of jj(L1) n @, where $J(Li) is the center of L,(G) and @ is the set of continuous positive-definite functions on G. For such functions f the function e I+ &f\*(e) is in Li(G^, dp), and one has (\*I f(x) = SG~

On a duality between Boolean valued anal
On a duality between Boolean valued analysis and topological Reduction Theory
✍ Hirokazu Nishimura πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 583 KB

## Abstract By creating an unbounded topological reduction theory for complex Hilbert spaces over Stonean spaces, we can give a category‐theoretic duality between Boolean valued analysis and topological reduction theory for complex Hilbert spaces. MSC: 03C90, 03E40, 06E15, 46M99.