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The Bergman kernel and mass equidistribution on the Siegel modular variety
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James W. Cogdell
and
Wenzhi Luo
Published/Copyright:
April 13, 2010
Abstract
We study the mass equidistribution of holomorphic cuspidal Hecke eigenforms on the Siegel modular varieties, and show that equidistribution holds on average, by means of the Bergman kernel.
Received: 2008-10-01
Revised: 2009-06-01
Published Online: 2010-04-13
Published in Print: 2011-January
© de Gruyter 2011
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Articles in the same Issue
- Semi-classical limits of the first eigenfunction and concentration on the recurrent sets of a dynamical system
- Ree geometries
- Centralisers of finite subgroups in soluble groups of type FPn
- Visibility and diameter maximization of convex bodies
- The Bergman kernel and mass equidistribution on the Siegel modular variety
- Lp boundedness for parabolic Schrödinger type operators with certain nonnegative potentials
- Weighted Strichartz estimates with angular regularity and their applications
- Classification of (1, 2)-Grassmann secant defective threefolds
Articles in the same Issue
- Semi-classical limits of the first eigenfunction and concentration on the recurrent sets of a dynamical system
- Ree geometries
- Centralisers of finite subgroups in soluble groups of type FPn
- Visibility and diameter maximization of convex bodies
- The Bergman kernel and mass equidistribution on the Siegel modular variety
- Lp boundedness for parabolic Schrödinger type operators with certain nonnegative potentials
- Weighted Strichartz estimates with angular regularity and their applications
- Classification of (1, 2)-Grassmann secant defective threefolds
