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Analysis as a Tool in Mathematical Physics

Analysis as a Tool in Mathematical Physics


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About the Book

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 Schr odinger 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 Szeg o, 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.


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Product Details
  • ISBN-13: 9783030315337
  • Publisher: Springer International Publishing
  • Publisher Imprint: Birkhauser
  • Height: 234 mm
  • No of Pages: 627
  • Series Title: Operator Theory: Advances and Applications
  • Sub Title: In Memory of Boris Pavlov
  • Width: 156 mm
  • ISBN-10: 3030315339
  • Publisher Date: 29 Jul 2021
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Spine Width: 33 mm
  • Weight: 933 gr


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Analysis as a Tool in Mathematical Physics
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