Abstract
We consider functions satisfying the subcritical Beurling's condition, viz.,

for some
Keywords: Beurling's condition; Bargmann transform; Hermite coefficients; Heisenberg group; entire vectors
We wish to thank the referee for carefully reading the manuscript and making useful suggestions which have been followed in this revised version.
Received: 2014-11-29
Accepted: 2015-5-7
Published Online: 2015-6-4
Published in Print: 2015-7-1
© 2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Variations on a theorem of Beurling
- Dunkl harmonic analysis and fundamental sets of continuous functions on the unit sphere
- Boundary behavior of Green function for a parabolic equation in bounded domain
- On an explicit form of the Green function of the Robin problem for the Laplace operator in a circle
- Some properties of chain recurrent sets in a nonautonomous discrete dynamical system
- A joint generalization of Van Vleck's and Kannappan's equations on groups
Keywords for this article
Beurling's condition;
Bargmann transform;
Hermite coefficients;
Heisenberg group;
entire vectors
Articles in the same Issue
- Frontmatter
- Variations on a theorem of Beurling
- Dunkl harmonic analysis and fundamental sets of continuous functions on the unit sphere
- Boundary behavior of Green function for a parabolic equation in bounded domain
- On an explicit form of the Green function of the Robin problem for the Laplace operator in a circle
- Some properties of chain recurrent sets in a nonautonomous discrete dynamical system
- A joint generalization of Van Vleck's and Kannappan's equations on groups