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The main idea for our approach relies on a study of the boundary theory we established for the general CAT(-1) spaces.
      
We prove as the main result thatM is weakly symmetric with respect toG1 and complex conjugation.
      
As an immediate application we obtain a new proof of the main theorem of standard monomial theory for classical groups.
      
As our main result, we prove that every coherentK-sheaf onX extends uniquely to a holomorphicG-sheaf onXc.
      
Using the theory of crystal bases as the main tool, we prove a quantum analogue of Richardson's theorem.
      
Our main achievement is that any Schubert variety admits a flat deformation to a union of normal toric varieties.
      
The main goal of this paper is to show that this construction produces many new Gelfand pairs associated with nilpotent Lie groups.
      
The main result of this paper is to establish the upper bound form, for eachn.
      
The main part of the work deals with abstract Higgs bundles; in the last two sections we derive the applications to Higgs bundles valued in a line bundle K and to bundles on elliptic fibrations.
      
The main result of this paper is that there is a non-linearizable real algebraic
      
The main result of this paper is an exact determination of the Castelnuovo regularity of the ideal of X.
      
The main theme of this paper is that many of the remarkable properties of invariant theory pertaining to semisimple Lie algebras carry over to parabolic subalgebras even though the latter have less structure.
      
For G simple, our main result is the classification of the G-modules V and integers k ≥ 2 such that
      
The main purpose of this paper is to give a procedure to "mollify" the low-pass filters of a large number of Minimally Supported Frequency (MSF) wavelets so that the smoother functions obtained in this way are also low-pass filters for an MRA.
      
The main purpose of this paper is to give a procedure to "mollify" the low-pass filters of a large number ofMinimally Supported Frequency (MSF) wavelets so that the smoother functions obtained in this way are also low-pass filters for an MRA.
      
The main goal is to develop the corresponding theory for Lp-integrable bounday data for optimal values of p's.
      
The main result of the article is reconstruction formula of spectral entire functions from their values on discrete subgroups using Lagrangian splines.
      
We describe the main results obtained in a joint work with Athanasopoulos and Caffarelli on the regularity of viscosity solutions and of their free boundaries for a rather general class of parabolic phase transition problems.
      
The main result provides a concrete method of connecting certain pairs of wavelet sets.
      
The main tool in our investigations consists of an adapted atomic decomposition.
      
 

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