Weighted Bergman–Dirichlet and Bargmann–Dirichlet Spaces in High Dimension

Weighted Bergman–Dirichlet and Bargmann–Dirichlet Spaces in High Dimension In this paper, we consider and study the n-dimensional extension of the Bergman–Dirichlet and Bargmann–Dirichlet spaces introduced recently in El Hamyani et al. (Ann Glob Anal Geom 49(1):59–72, 2016). We give a complete description of the considered spaces, including the explicit closed formulas for their reproducing kernel functions. Moreover, we investigate their asymptotic behavior when the curvature goes to 0. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mediterranean Journal of Mathematics Springer Journals

Weighted Bergman–Dirichlet and Bargmann–Dirichlet Spaces in High Dimension

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Publisher
Springer International Publishing
Copyright
Copyright © 2017 by Springer International Publishing AG
Subject
Mathematics; Mathematics, general
ISSN
1660-5446
eISSN
1660-5454
D.O.I.
10.1007/s00009-017-0963-1
Publisher site
See Article on Publisher Site

Abstract

In this paper, we consider and study the n-dimensional extension of the Bergman–Dirichlet and Bargmann–Dirichlet spaces introduced recently in El Hamyani et al. (Ann Glob Anal Geom 49(1):59–72, 2016). We give a complete description of the considered spaces, including the explicit closed formulas for their reproducing kernel functions. Moreover, we investigate their asymptotic behavior when the curvature goes to 0.

Journal

Mediterranean Journal of MathematicsSpringer Journals

Published: Jul 15, 2017

References

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