[Turkmath:7508] Bogazici Matematik Carsamba Seminerleri - ilan ekte

[ferit.ozturk at boun.edu.tr]

Geçmiş/gelecek konuşmalar için:
http://www.math.boun.edu.tr/index.php?option=com_content&task=section&id=49&Itemid=405

-------------------------------------------------------

BOGAZICI MATHEMATICS COLLOQUIUM

Sets of uniqueness for the trigonometric series

Ali Ulger
Koc Universitesi

Date : Wednesday, March 9, 2011
Time: 14:00
Place: TB 250, Bogazici Universitesi

Abstract: Sets of uniqueness for the trigonometric series
The Modern Mathematics was born as a consequence of the efforts spent to solve
the following problem. Consider the trigonometric series
∑_{n=-\infty}^{n=+\infty} c_n e^{inx} . If, for each x in [0, 2\pi], this
series converges to zero, is then this series identically zero? i.e. c_n = 0
for all n ∈ Z? Cantor did not only solve this problem in the affirmative,
he also proved that there are infinite sets E ⊆ [0, 2\pi] such that, if
this series converges to zero for each x ∈ [0, 2\pi] \ E, then the series
is still identically zero. Such a set E is said to be a "set of uniqueness for
the trigonometric series". In spite of the efforts of many outstanding
mathematicians (Cantor, H. W. Young, Lebesgue, Menshov, Rajchman, Barry,
Zygmund, Salem, Kahane, Piatetski-Shapiro, Körner,...) no characterization of
the sets of uniqueness is obtained so far. In this talk I will survey some of
the results about sets of uniqueness problem and present a recent contribution
of mine to this problem. 

Tea and coffee will be served at 15:00


-------------- sonraki bölüm --------------
A non-text attachment was scrubbed...
Name: 030911AliUlger.pdf
Type: application/pdf
Size: 99458 bytes
Desc: kullanılamıyor
URL: <http://yunus.listweb.bilkent.edu.tr/cgi-bin/mailman/private/turkmath/attachments/20110307/373b8393/attachment-0001.pdf>