The Bellaterra connection.

Peetre, Jaak. "The Bellaterra connection.." Publicacions Matemàtiques 37.1 (1993): 165-176. <http://eudml.org/doc/41526>.

@article{Peetre1993,
abstract = {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.},
author = {Peetre, Jaak},
journal = {Publicacions Matemàtiques},
keywords = {Espacios de Hilbert; Espacios de Bergman; Espacios y haces de fibras; Hermitian bundle; connection; curvature},
language = {eng},
number = {1},
pages = {165-176},
title = {The Bellaterra connection.},
url = {http://eudml.org/doc/41526},
volume = {37},
year = {1993},
}

TY - JOUR
AU - Peetre, Jaak
TI - The Bellaterra connection.
JO - Publicacions Matemàtiques
PY - 1993
VL - 37
IS - 1
SP - 165
EP - 176
AB - 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.
LA - eng
KW - Espacios de Hilbert; Espacios de Bergman; Espacios y haces de fibras; Hermitian bundle; connection; curvature
UR - http://eudml.org/doc/41526
ER -