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.
@article{urn:eudml:doc:41526,
title = {The Bellaterra connection.},
journal = {Publicacions Matem\`atiques},
volume = {37},
year = {1993},
pages = {165-176},
mrnumber = {MR1240930},
zbl = {0803.58006},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41526}
}
Peetre, Jaak. The Bellaterra connection.. Publicacions Matemàtiques, Tome 37 (1993) pp. 165-176. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41526/