BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Paul Gauthier (Université de Montréal)
DTSTART:20201201T140000Z
DTEND:20201201T150000Z
DTSTAMP:20260422T201701Z
UID:CAvid/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/23/">A
 symptotic first boundary value problem for holomorphic functions  of sever
 al complex variables</a>\nby Paul Gauthier (Université de Montréal) as p
 art of CAvid: Complex Analysis video seminar\n\nLecture held in N/A.\n\nAb
 stract\n(Jointly with M. Shirazi)\n\nLet $M$ be a complex manifold endowed
  with a distance $d$ and let $U\\subset M$ be an arbitrary Stein domain. L
 et $\\mu$ be a regular Borel measure on $U\,$ such that non-empty open set
 s of $U$ have positive $\\mu$ measure and $\\nu$ a regular Borel measure o
 n $\\partial U.$ Let $\\psi$ be a \nBorel measurable function on $\\partia
 l U\,$  \nwhose restriction to some closed subset $S\\subset\\partial U$ i
 s continuous.  \nThen\,   \nthere exists a holomorphic function $f$ on $U\
 ,$  such that\, for $\\nu$-almost every $p\\in \\partial U$\, \nand for ev
 ery $p\\in S\,$ $f(x)\\to \\psi(p)$\, as $x\\to p$ outside a set of $\\mu$
 -density  zero at $p$ \nrelative to $U.$\n
LOCATION:https://researchseminars.org/talk/CAvid/23/
END:VEVENT
END:VCALENDAR