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E-grāmata: Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory: A Volume in Honor of V.E. Katsnelson

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  • Formāts: EPUB+DRM
  • Sērija : Linear Operators and Linear Systems 280
  • Izdošanas datums: 19-Sep-2020
  • Izdevniecība: Springer Nature Switzerland AG
  • Valoda: eng
  • ISBN-13: 9783030448196
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  • Formāts: EPUB+DRM
  • Sērija : Linear Operators and Linear Systems 280
  • Izdošanas datums: 19-Sep-2020
  • Izdevniecība: Springer Nature Switzerland AG
  • Valoda: eng
  • ISBN-13: 9783030448196
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This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.Victor Emmanuilovichs mathematical career has been based mainly at the Kharkov University and the Weizmann Institute. However, it also included a one-year guest professorship at Leipzig University in 1991, which led to him establishing close research contacts with the Schur analysis group in Leipzig, a collaboration that still continues today.

Reflecting these three periods in Victor Emmanuilovich's career, present and former colleagues have contributed to this book with research inspired by him and presentations on their joint work. Contributions include papers in function theory (Favorov-Golinskii, Friedland-Goldman-Yomdin, Kheifets-Yuditskii) , Schur analysis, moment problems and related topics (Boiko-Dubovoy, Dyukarev, Fritzsche-Kirstein-Mädler), extension of linear operators and linear relations (Dijksma-Langer, Hassi-de Snoo, Hassi -Wietsma) and non-commutative analysis (Ball-Bolotnikov, Cho-Jorgensen).
Victor comes to Rehovot.- My Teacher Viktor Emmanuilovich
Katsnelson.- Some impressions of Viktor Emmanuilovich Katsnelson.- The good
fortune of maintaining a long-lasting close friendship and scientic
collaboration with V. E. Katsnelson.- A piece of Victor Katsnelsons
mathematical biography.- Interpolation by contractive multipliers
between Fock spaces.- Regular extensions and defect functions of contractive
measurable operator-valued functions.- Free-homomorphic relations induced by
certain free semicircular families.- Self-adjoint extensions of a symmetric
linear relation with nite defect: compressions and Straus subspaces.- On
conditions for complete indeterminacy of the matricial Hamburger moment
problem.- On a Blaschke-type condition for subharmonic function with two sets
of singularities on the boundary.- Exponential Taylor domination.- A closer
look at the solution of the truncatedmatricial moment problem.- On a class of
sectorial relations and the associated closed forms.- Spectral decompositions
of selfadjoint relations in Pontryagin spaces and factorizations of
generalized Nevanlinna functions.- Martin functions of Fuchsian groups and
character automorphic subspaces of the Hardy space in the upper half-plane.