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SUMMARY:Mahya Ghandehari (University of Delaware)
DTSTART:20200916T190000Z
DTEND:20200916T200000Z
DTSTAMP:20260420T052531Z
UID:NYC-NCG/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/21/"
 >Fourier algebras of the group of $\\mathbb{R}$-affine transformations and
  a dual convolution</a>\nby Mahya Ghandehari (University of Delaware) as p
 art of Noncommutative geometry in NYC\n\n\nAbstract\nA major trend in Non-
 commutative Harmonic Analysis is to investigate function spaces related to
  Fourier analysis (and representation theory) of non-abelian groups.\n\nTh
 e Fourier algebra\, which is associated with the left regular representati
 on of the ambient group\, is an important example of such function spaces.
  This function algebra encodes the properties of the group in various ways
 \; for instance the existence of derivations on this algebra translates in
 to information about the commutativity of the group itself. \n\n\n\nIn thi
 s talk\, we investigate the Fourier algebra of the group of $\\mathbb{R}$-
 affine transformations.  In particular\, we discuss the non-commutative Fo
 urier transform for this group\, and  provide an explicit formula for the 
 convolution product on the ``dual side'' of this transform. As an applicat
 ion of this new dual convolution product\, we show an easy dual formulatio
 n for (the only known) symmetric derivative on the Fourier algebra of the 
 group.  \n\n\n\nThis talk is mainly based on joint articles with Y. Choi.\
 n
LOCATION:https://researchseminars.org/talk/NYC-NCG/21/
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