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SUMMARY:Concerning the stability of exponential systems and Fourier matric
 es - Laura De Carli  (Florida International University)
DTSTART:20240719T111500Z
DTEND:20240719T114500Z
UID:TALK218203@talks.cam.ac.uk
DESCRIPTION:Fourier matrices naturally appear in many applications and the
 ir stability is closely tied to performance guarantees of algorithms.\nThe
  starting point of our investigation is a result that characterizes proper
 ties of an exponential system on a union of cubes in&nbsp\; R^d&nbsp\; in 
 terms of a general class of Fourier matrices and their extreme singular va
 lues. This relationship is flexible in the sense that it holds for any dim
 ension d\, for many types of exponential systems (Riesz bases\, Riesz sequ
 ences\, or frames) &nbsp\;and for Fourier matrices with an arbitrary numbe
 r of rows and columns.\nFrom there\, we prove new stability results for Fo
 urier matrices by exploiting this connection and using powerful stability 
 theorems for exponential systems. This paper provides a systematic explora
 tion of this connection and suggests some natural open questions. This is 
 a joint work with W. Li (CUNY) and O. Asipchuk (FIU)
LOCATION:Seminar Room 1\, Newton Institute
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