Selected abstracts for the spring semester 2006:
COLLOQUIUM: Friday, January 20, 2006, 4:00-5:00 p.m., VV B239.
Fedor Nazarov, Michigan State University.Transportation to random zeroes
by the gradient flow.
Abstract:
We show that basins of zeroes of a random Gaussian analytic function
partition the complex plane into domains of equal area and the
probability that a given basin has diameter greater than R decays
exponentially in R. This is joint work with M. Sodin and A. Volberg.
UPCOMING (note some changes below:)==================================================
Tuesday, February 7, 2006, 4:00-5:00 p.m., VV B139.
Alexander Stokolos, De Paul University
Title: On boundary behavior of harmonic and analytic functions
Abstract: This is a joint work with Fausto di Biase, Olof Svensson and
Tomasz Weiss. We study bounded harmonic and analytic functions defined on
the unit disc and their boundary behavior along tangential approach region
whose shape may change from point to point, thus solving a problem posted
by W.Rudin in 1979 and completing picture given by the basic theorems of
Fatou (1906), Lindeloef (1915), Littlewood (1927) and Nagel&Stein (1984).
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Tuesday, February 28, 2006, 4:00-5:00 p.m., VV B139.
Vladimir Temlyakov (University of South Carolina)
Title: Greedy algorithms with respect to bases
I'll discuss approximation properties of greedy algorithms
with respect to the classical bases (trigonometric, Haar) and with respect
to general bases. The class of greedy bases will be introduced and
discussed.
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Monday, March 6, 4 p.m. vv B239
COLLOQUIUM
Vladimir Temlyakov (University of South Carolina)
Title: Greedy approximation in Hilbert spaces
Abstract:
I'll talk about greedy algorithms with regard to a general redundant
(overcomplete) system. The questions of convergence and rate of
convergence will be discussed.
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Tuesday, March 7, 4:00-5:00 p.m., VV B139.
Sergey Tikhonov (Centre de Recerca Matematica, Barcelona)
"Convergence of trigonometric series"
Abstract : We discuss three new convergence criteria (for p=\infty, 1