[Turkmath:9771] Sabancı Üniv. Math. Colloquium (May 08 Thursday, 10:30): Nikos Tsirivas, Universal Taylor Series on specific compact sets

[wmeidl]

Dear All,

please see below the abstract of the next Sabancı University Math. 
Colloquium talk by
*
Nikos Tsirivas,* University of Crete, Department of Mathematics*
**Title: * Universal Taylor Series on specific compact sets*
Date: *Thursday, 08.05.2014, 10:30*
Place:* Sabancı University, FENS 2008.

All interested are welcome to attend. For directions to Sabancı 
University please visit

http://www.sabanciuniv.edu/tr/?kampus_hayati/hizmet_ve_olanaklar/ulasim.html 



*Abstract*: Let D be the open unit disc. It is known that there are 
holomorphic functions f on D for which the partial sums (Sn(f)) of the 
Taylor series about 0 have
universal approximation properties on every compact set with connected 
complement outside D. It is known, also, that the previous result fails 
when we consider
the sequence Bn(Sn(f)) instead of (Sn(f)) where (Bn) is an arbitrary 
sequence of complex numbers. However we can satisfy universal 
approximation properties on
some specific compact sets. We give, in this talk, specific examples of 
sequences and compact sets in which the previous results holds.


Greetings, Wilfried Meidl
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