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Characteristic Functions, Scattering Functions and Transfer Functions - The Moshe Livsic Memorial Volume (Hardcover, 2010 ed.)
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Characteristic Functions, Scattering Functions and Transfer Functions - The Moshe Livsic Memorial Volume (Hardcover, 2010 ed.)
Series: Operator Theory: Advances and Applications, 197
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Total price: R1,155
Discovery Miles: 11 550
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Daniel Alpay and Victor Vinnikov During the period July 9 to July
13, 2007,a conference called Characteristic fu- tions and transfer
functions in operator theory and system theory: a conference
dedicated to PaulFuhrmann onhis 70thanniversary and to the memory
ofMoshe
Livsiconhis90thanniversarywasheldattheDepartmentofMathematicsofBen-
GurionUniversityoftheNegev.Thenotionsoftransferfunctionandcharacteristic
functions proved to be fundamental in the last ?fty years in
operator theory and in system theory. This conference was envisaged
to pay tribute to our colleagues
PaulFuhrmannandMosheLivsicwhoplayedacentralroleindevelopingthese-
tions. Sadly, Moshe Livsic passedawayon the 30thof March,2007(11th
of Nissan 5767), so the conference was dedicated to his memory. It
is a pleasure to thank all the participants, who contributed to a
very exciting and fruitful conference, and especially those who
submitted papers to the present volume. The volume contains a
selection of thirteen research papers dedicated to the memory of
Moshe Livsic. The topics addressed can be divided into the
following categories: Classical operator theory and its
applications: This pertains to the paper Diff- ential-di?erence
equations in entire functions by G. Belitskii and V. Tkachenko, the
paper Bi-Isometries and Commutant Lifting by H. Bercovici, R.G.
Douglas. and C. Foias and the paper Convexity of ranges and
connectedness of level sets of quadratic forms by I. Feldman, N.
Krupnik and A. Markus. Ergodictheoryandstochasticprocesses: We have
the papersTheone-sidedergodic Hilbert transform of normal
contractions by G. Cohen and M. Lin, and Integral Equations in the
Theory of Levy Processes by L. Sakhnovich.
Geometryofsmoothmappings:This iscoveredbythepaper
ofY.Yomdinentitled ?-Spread of sets in metric spaces and critical
values of smooth functions.
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