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Of course, our proof would work also in the finite type case.
      
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.
      
This paper builds upon the work of Cline and Donkin to describe explicit
      
We work on an arbitrary complete algebraic curve, the structure group is an arbitrary semisimple group.
      
In light of Brenti's work on certain R-polynomials, this formula raises interesting questions about the possibility of relating Ext groups between Weyl modules to Kazhdan-Lusztig combinatorics.
      
This is a survey of recent work involving concepts of self-similarity that relate to
      
The golden thread connecting the various extensions and generalizations is the concept of logarithmic convexity, one that goes back to the work of J.
      
In the spirit of work of Kerman and Sawyer, a condition is given that is necessary and sufficient for the Fourier transform norm inequality
      
Our work builds on a uniqueness result for reconstructing an L2 signal from irregular sampling of its wavelet transform of Grochenig and the related work of Benedetto, Heller, Mallat, and Zhong.
      
Our work builds on a uniqueness result for reconstructing an L2 signal from irregular sampling of its wavelet transform of Gr?chenig and the related work of Benedetto, Heller, Mallat, and Zhong.
      
The present work presents conditions on ? for which the transform relation holds in the classical sense, and extends this result to a class of generalizations of the Poisson formula in any number of dimensions.
      
This work is motivated from and useful in object-based video coding, where a segmented moving object may have arbitrary shape and block transform coding of this object is needed.
      
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.
      
Our work on this has been stimulated by recent work of Brandolini and Colzani, and we also discuss some variants of their results.
      
The first part of this work considers abelian groups.
      
Another generalization is obtained in the context of representations of Jordan algebras, in the spirit of Herz's previous work on matrix spaces.
      
The first part of this work considered the abelian groups of unitary transformations, while here we deal with nonabelian groups.
      
This characterization completes earlier work by Bui et al.
      
This has significant advantages over the previous work.
      
The derivation of our algorithm depends on certain properties of joint analyticity (with respect to spatial variables and perturbations) which had not been established before this work.
      
 

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