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SUMMARY:Clayton Shonkwiler (Colorado State - USA)
DTSTART:20231117T160000Z
DTEND:20231117T170000Z
DTSTAMP:20260423T022933Z
UID:GEOTOP-A/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GEOTOP-A/56/
 ">Geometric Approaches to Frame Theory</a>\nby Clayton Shonkwiler (Colorad
 o State - USA) as part of GEOTOP-A seminar\n\n\nAbstract\nFrames are overc
 omplete systems of vectors in Hilbert spaces. They were originally introdu
 ced in the 1950s in the context of non-harmonic Fourier series\, and came 
 to renewed prominence in the 1980s in signal processing applications. More
  recently\, there has been burgeoning interest in frames in finite-dimensi
 onal Hilbert spaces\, with applications to signal processing\, quantum inf
 ormation\, and compressed sensing.\nIn this talk\, I will describe some wa
 ys in which tools from differential\, Riemannian\, and symplectic geometry
  can be applied to problems in frame theory. Some key tools that crop up a
 re Hamiltonian actions\, the Cartan decomposition\, and geometric invarian
 t theory. This is joint work with Tom Needham and partially with Dustin Mi
 xon and Soledad Villar.\n
LOCATION:https://researchseminars.org/talk/GEOTOP-A/56/
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