Frames from first principles: Error correction, symmetry goals, and numerical efficiency
نویسنده
چکیده
In many areas of mathematics, orthonormal bases are a standard tool for representing vectors or operators. For certain problems, however, it is preferable to use an overcomplete, non-orthogonal set of vectors instead of an orthonormal basis, and thereby incorporate redundancy in the representation. Frames are overcomplete sets which are associated with redundant linear representations that have stable analysis and reconstruction maps. Driven by applications in engineering, the theory of frames has recently grown very rapidly. This workshop focuses on optimality principles in frame design. Particular topics of interest in the proposed workshop are the use of redundant representations for achieving:
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