This volume contains twenty contributions in the area of mathematical physics where Fritz Gesztesy made profound contributions. There are three survey papers in spectral theory, differential equations, and mathematical physics, which highlight, in particular, certain aspects of Gesztesy's work. The remaining seventeen papers contain original research results in diverse areas reflecting his interests. The topics of these papers range from stochastic differential equations; operators on graphs; elliptic partial differential equations; Sturm-Liouville, Jacobi, and CMV operators; semigroups; to inverse problems.
Table of Contents:
Invaraint measures for stochastic differential equations on networks by S.
Albeverio, E. Mastrogiacomo, and L. Di Persio
On the spectra of large sparse graphs with cycles by D. Bolle, F. L. Metz,
and I. Neri
Jones' extension operator on Sobolev spaces with partially vanishing traces
by K. Brewster, D. Mitrea, I. Mitrea, and M. Mitrea
Some spectral properties of rooms and passages domains and their skeletons by
B. M. Brown, W. D. Evans, and I. G. Wood
Finite gap Jacobi matrices: A review by J. S. Christiansen, B. Simon, and M.
Zinchenko Momentum operators on graphs by P. Exner
Asymptotic parabolicity for strongly damped wave equations by G. Fragnelli,
G. R. Goldstein, J. A. Goldstein, and S. Romanelli
On rates in Euler's formula for $C_9$-semigroups by A. Gomilko and Y. Tomilov
Construction of a noncommutative quantum field theory by H. Grosse and R.
Wulkenhaar
Periodic conservative solutions for the two-component Camassa-Holm system by
K. Grunert, H. Holden, and X. Raynaud
A minimal uncertainty product for one-dimensional semiclassical wave packets
by G. A. Hagedorn
On a transformation of Bohl and its discrete analogue by E. M. Harrell, II
and M. L. Wong
The Morse and Maslov indices for matrix Hill's equations by C. K. R. T.
Jones, Y. Latushkin, and R. Marangell
1-D Schrodinger operators with local point interactions: A review by A.
Kostenko and M. Malamud
Inverse problem for small oscillations by Y. I. Lyubarskii and V. A.
Marchenko
On the Weyl-Titchmarsh and Livsic functions by K. A. Makarov and E.
Tsekanovskii
Stability for the inverse resonance problem for the CMV operator by R.
Shterenberg, R. Weikard, and M. Zinchenko
On a conjecture of A. Bikchentaev by F. A. Sukochev
Spectral theory as influenced by Fritz Gesztesy by G. Teschl and K.
Unterkofler
Prescribed asymptotic behavior for nonlinear second-order dynamic equations
by M. Unal and A. Zafer
Helge Holden, Norwegian University of Science and Technology, Trondheim, Norway.
Barry Simon, California Institute of Technology, Pasadena, CA, USA.
Gerald Teschl, University of Vienna, Austria.
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