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UID:20251122T023133EST-0304g5hfD5@132.216.98.100
DTSTAMP:20251122T073133Z
DESCRIPTION:Analysis Seminar CRM-Montréal-Québec\n\nTitle: Wiener algebras 
 and trigonometric series in a coordinated fashion.\n\nLet $W_0(mathbb R)$ 
 be the Wiener Banach algebra of functions representable by the Fourier int
 egrals of Lebesgue integrable functions. \n	It is proven in the paper that\
 , in particular\, a trigonometric series $sumlimits_{k=-infty}^infty c_k e
 ^{ikt}$ is the Fourier series of an integrable function\n	 if and only if t
 here exists a $phiin W_0(mathbb R)$ such that $phi(k)=c_k$\, $kinmathbb Z$
 . If $fin W_0(mathbb R)$\, then the piecewise linear \n	continuous function
  $ell_f$ defined by $ell_f(k)=f(k)$\, $kinmathbb Z$\, belongs to $W_0(math
 bb R)$ as well. Moreover\, $|ell_f|_{W_0}le  |f|_{W_0}$. \n	Similar relatio
 ns are established for more advanced Wiener algebras. These results are su
 pplemented by numerous applications. In particular\, new necessary \n	and s
 ufficient conditions are proved for a trigonometric series to be a Fourier
  series and new properties of $W_0$ are established.\n	This is a joint work
  with R. Trigub.\n\nRoom: 4336-4384 Pav. André-Aisentadt (CRM)\n\nhttp://w
 ww.math.mcgill.ca/jakobson/analysish/seminar.html\n\n \n
DTSTART:20221104T180000Z
DTEND:20221104T190000Z
SUMMARY:Elijah Liflyand\, Bar-Ilan University
URL:/mathstat/channels/event/elijah-liflyand-bar-ilan-
 university-343173
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