Abstract
We study Hilbert spaces of holomorphic functions, generalizing the Fock spaces of entire functions, in the general setting of hermitian symmetric domains and Jordan algebras, using the concept of projectively flat connexion on a Hilbert subbundle.
This work was completed with the support of the German-Israeli Foundation (GIF), I-415- 023.06/95.
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Dedicated to Nikolai Vasilevski on the occasion of his 60th birthday
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Upmeier, H. (2010). Hilbert Bundles and Flat Connexions over Hermitian Symmetric Domains. In: Duduchava, R., Gohberg, I., Grudsky, S.M., Rabinovich, V. (eds) Recent Trends in Toeplitz and Pseudodifferential Operators. Operator Theory: Advances and Applications, vol 210. Springer, Basel. https://doi.org/10.1007/978-3-0346-0548-9_15
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DOI: https://doi.org/10.1007/978-3-0346-0548-9_15
Publisher Name: Springer, Basel
Print ISBN: 978-3-0346-0547-2
Online ISBN: 978-3-0346-0548-9
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