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Part I - Memorial Contributions.- Life and career.- Water-colours by Boris Pavlov.- Family and leisure.- Pavlov's mathematics.- Part II - Research Papers.- Singular perturbations of unbounded selfadjoint operators. Reverse approach.- Generic asymptotics of resonance counting function for Schrödinger point interactions.- Spectral clusters, asymmetric spaces, and boundary control for Schrodinger equation with strong singularities.- The second Weyl coefficient for a first order system.- A Lieb-Thirring type inequality for magnetic Schrödinger operators with a radial symmetry.- Scattering matrices and Weyl functions of quasi boundary triples.- On the spectrum of the quantum Rabi model.- Scattering theory for a class of non-selfadjoint extensions of symmetric operators.- Asymptotics of Chebyshev polynomials, III. Sets saturating Szego, Schiefermayr, and Totitk-Widom bounds.- Solvability and complex limit characteristics.- Quantization of Gaussians.- A resonance interaction of seismogravitational modes of tectonic plates.- On positivity preserving, translation invariant, operators in Lp(Rn)m.- The distribution of path lengths on directed weighted graphs.- Diagonalization of indenite saddle point forms.- Solutions of Gross-Pitaevskii equation with periodic potential in dimension two.- The Integral Transform of N.I. Akhiezer.- On Gaussian random matrices coupled to the discrete Laplacian.- Modern results in the spectral analysis for a class of integral-difference operators and application to physical processes.- Inverse problem for integral-difference operators on graphs.- Quantum graph in a magnetic field and resonance states completeness.- On Zd-symmetry of spectra of some nuclear operators.- Spectral monotonicity for Schrödinger operators on metric graphs.- Linear Operators and Operator Functions Associated with Spectral Boundary Value Problem.

Boris Pavlov (1936-2016), to whom this volume is dedicated, was a prominent specialist in analysis, operator theory, and mathematical physics.&nbsp;As one of the most influential members of the St. Petersburg Mathematical School, he was one of the founders of the Leningrad School of Non-self-adjoint&nbsp;Operators.&nbsp;<br><br>This volume collects research papers originating from two conferences that were organized in memory of Boris Pavlov: “Spectral Theory&nbsp;and Applications”, held in Stockholm, Sweden, in March 2016, and “Operator Theory, Analysis and Mathematical Physics&nbsp;–&nbsp;OTAMP2016” held at the Euler Institute in St.&nbsp;Petersburg, Russia, in August 2016. The volume also includes water-color paintings by Boris Pavlov, some personal photographs, as well as&nbsp;tributes from friends and colleagues.

Collects research papers originating from two conferences that were organized in memory of Boris Pavlov Includes water-color paintings by Boris Pavlov and some personal photographs Contains research papers from specialists in their fields