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UID:20250706T194941EDT-7086trUt8x@132.216.98.100
DTSTAMP:20250706T234941Z
DESCRIPTION:Title: Failure of approximation of odd functions by odd polynom
 ials.\n\nAbstract: We construct a Hilbert holomorphic function space $H$ o
 n the unit disk such that the polynomials are dense in $H$\, but the odd p
 olynomials are not dense in the odd functions in $H$. As a consequence\, t
 here exists a function $f$ in $H$ that lies outside the closed linear span
  of its Taylor partial sums $s_n(f)$\, so it cannot be approximated by any
  triangular summability method applied to the $s_n(f)$. We also show that 
 there exists a function $f$ in $H$ that lies outside the closed linear spa
 n of its radial dilates $f_r\, r < 1$. (Joint work with Javad Mashreghi an
 d Pierre-Olivier Parise).\n\nFor Zoom meeting information please contact t
 he organizer: dmitry.jakobson [at] mcgill.ca\n
DTSTART:20210319T150000Z
DTEND:20210319T160000Z
SUMMARY:Thomas Ransford (Université Laval)
URL:/mathstat/channels/event/thomas-ransford-universit
 e-laval-329591
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