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Approximations of strongly singular couplings at quantum graph vertices

Presented by: 
O Turek [Czech Technical]
Date: 
Friday 13th April 2007 - 15:30 to 16:30
Venue: 
INI Seminar Room 1
Session Chair: 
P Kuchment
Abstract: 

Approximation of a general strongly singular coupling in the center of a star graph by means of a delta-coupling and delta-interactions will be presented. We will (i) formulate necessary conditions under which the approximation is possible; (ii) show a way how to realize such approximation; (iii) explain its character: we will demonstrate that the coupling is approximated in the norm-resolvent sense.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons