Pavel Kurasov * Ari Laptev * Sergey NabokoBarry SimonEditors

Analysis as a Toolin Mathematical PhysicsIn Memory of Boris Pavlov

® Birkhauser

Contents

In Memoriam Boris Pavlov .

I Boris Pavlov: Life and Mathematics

Curriculum Vitae of B. Pavlov ;

List of PhD students. . . 6

Publication List of B. Pavlov 2

Photographs . . 17

Academician A.N. Terenin's rules for researchers . 25

Water-colours by Boris Pavlov 2^

Pavlov's Mathematics e

Introduction . “

V.M. Adamyan

Zero-range potentials with internal structure and solvable models . . -

S. Khrushchev

Pavlov's perturbations .

N. Nikolski

Boris Pavlov and bases, as I remember them . a

V. Vinnikov

The work of Pavlov on shift operators on a Riemann surface . .

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II Research Papers "

V.M. AdamyanSingular perturbations of unbounded selfadjoint operators.Reverse approach ..... © s

S. Albeverio and I.M. Karabash

Generic asymptotics of resonance counting functionfor Schródinger point interactions . .

S. Avdonin and J. Edward

Spectral clusters, asymmetric spaces, and boundary controlfor Schrodinger equation with strong singularities . . .

Z. Avetisyan, J. Sjostrand, and D. VassilievThe second Weyl coefficient for a first-order system . . .

D. Barseghyan and F. TrucA Lieb-Thirring type inequalityfor magnetic Schrodinger operators with a radial symmetry . .

J. Behrndt and H. Neidhardt

Scattering matrices and Weyl functions of quasi-boundary triples . . 162

A. Boutet de Monvel and L. Zielinski

On the spectrum of the quantum Rabi model

K.D. Cherednichenko, A.V. Kiselev, and L.O. SilvaScattering theory for a class of non-selfadjoint extensionsof symmetric operators .. uu

J.S. Christiansen, B. Simon, and M. ZinchenkoAsymptotics of Chebyshev Polynomials, III. Sets SaturatingSzegó, Schiefermayr, and Totik-Widom Bounds . . .

N. Dencker

Solvability and complex limit bicharacteristics . . . .

J. Derezinski and M. KarczmarczykQuantization of Gaussians . . .

V. Flambaum, G. Martin, and B. PavlovA resonance interactionof seismogravitational modes on tectonic plates .

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F. Gesztesy and M.M.H. Pang

Positivity Preserving,Translation Invariant Operators in LP(R™)™ . . .

A. Kiro, Y. Smilansky, and U. SmilanskyThe Distribution of Path Lengths On Directed Weighted Graphs . =’

L. Grubisié, V. Kostrykin, K.A. Makarov, S. Schmitz, and K. Veselié

Diagonalization of indefinite saddle point forms . “

Yu. Karpeshina, R. Shterenberg, and S. Kim

Solutions of Gross-Pitaevskii Equationwith Periodic Potential in Dimension Two . . ^

V. Katsnelson

The Integral Transform of N.I. Akhiezer . . 4

R. Kozhan

On Gaussian random matrices coupled to the discrete Laplacian . . 4

Yu.B. Melnikov and I. V. Turuntaeva

Modern results in the spectral analysis for a class of integral-differenceoperators and application to physical processes . . 448

Yu.B. Melnikov and 1. V. Turuntaeva

Inverse problem for integral-difference operators on graphs

B.S. Pavlov and A.M. Yafyasov

Breeding of the running spin-waveswith standing spin-modes in a quantum well . . .

I. Y. Popov and I. V. Blinova

Quantum graph in a magnetic fieldand resonance states completeness

O. Reinov

On Za-symmetry of spectra of some nuclear operators . .

J. Rohleder

A remark on the order of mixed Dirichlet-Neumann eigenvalues ofpolygons . . . . . 570

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V. RyzhovLinear Operators and Operator FunctionsAssociated with Spectral Boundary Value Problems . .

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