THE BELLATERRA CONNECTION

A new object is introduced - the "Fischer bundle". It is, formally speaking, an Hermitean bundle of infinite rank over a bounded symmetric domain whose fibers are Hilbert spaces whose elements can be realized as entire analytic functions square integrable with respect to a Gaussian measure...

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Bibliographic Details
Published in:Publicacions matemàtiques 1993-01, Vol.37 (1), p.165-176
Main Author: Peetre, Jaak
Format: Article
Language:English
Subjects:
Curvature
Espacios de Bergman
Espacios de Hilbert
Espacios y haces de fibras
Hilbert spaces
Mathematical expressions
Mathematical functions
Mathematical vectors
Vector spaces
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Summary:A new object is introduced - the "Fischer bundle". It is, formally speaking, an Hermitean bundle of infinite rank over a bounded symmetric domain whose fibers are Hilbert spaces whose elements can be realized as entire analytic functions square integrable with respect to a Gaussian measure ("Fischer spaces"). The definition was inspired by our previous work on the "Fock bundle". An even more general framework is indicated, which allows one to look upon the two concepts from a unified point of view.
ISSN:0214-1493
2014-4350
DOI:10.5565/PUBLMAT_37193_12