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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Simultaneous approximation by polynomials - Yuan
Xu (University of Oregon)
DTSTART;TZID=Europe/London:20190429T140000
DTEND;TZID=Europe/London:20190429T160000
UID:TALK124072AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/124072
DESCRIPTION:Least square polynomials in an $L^2$ space are par
tial sums of the Fourier orthogonal expansions. If
we were to approximate functions and their deriva
tives simultaneously on a domain in $R^d$ (as desi
red in spectral method)\, we would need to conside
r orthogonal expansions in a Sobolev space\, for w
hich the orthogonality is defined with respect to
an inner product that contains derivatives. Since
multiplication operators are no longer self-adjoin
t under such an inner product\, the orthogonality
is hard to understand and analyze. In the talk we
will explain what is known.

LOCATION:Seminar Room 2\, Newton Institute
CONTACT:info@newton.ac.uk
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