SEMİNER

"Maximal convergence and interpolation on unconnected sets"

                                                                

Prof. Dr. Hans Peter BLATT

Katholische Universität Eichstätt-Ingolstadt, Germany

ÖZET: A theorem of René Grothmann states that interpolating polynomials to a holomorphic function on a compact set E are maximally convergent to f only if a subsequence of the interpolation points converge to the equilibrium distribution of E in the weak* sense. Grothmann`s proof applies only for connected sets E. The objective of this paper is to provide a new necessary condition for maximal convergence which is the crucial tool to prove Grothmann`s theorem for unconnected sets E.

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TARİH/SAAT           : 20.01.2021/15:30

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