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Recent Trends in Analysis: Proceedings of the Conference in Honor of Nikolai Nikolski, Bordeaux, 2011
Edited by: Alexander Borichev, University of Marseille, France, Kenneth R. Davidson, University of Waterloo, Canada, Stanislas Kupin, University of Bordeaux, France, Gilles Pisier, Pierre and Marie Curie University, Paris, France, Florian-Horia Vasilescu, University of Lille, France, and Vasily Vasyunin, Steklov Institute of Mathematics, St. Petersburg, Russia
A publication of the Theta Foundation.
International Book Series of Mathematical Texts
2013; 244 pp; hardcover
ISBN-13: 978-606-8443-02-7
List Price: US$68
Member Price: US$54.40
Order Code: THETA/19
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The volume contains the proceedings of the conference held in Bordeaux in 2011 to honor the 70th birthday of Nikolai Nikolski. It gathers some of the most relevant contributions presented, written by first-rate analysts. Below is a list of the main subjects covered:

  • function spaces and reproducing kernels
  • Toeplitz and Hankel operators
  • spectral synthesis
  • spectral theory
  • semigroups of operators
  • singular integral operators
  • functional models
  • rational and meromorphic approximations
  • Fourier analysis

A publication of the Theta Foundation. Distributed worldwide, except in Romania, by the AMS.


Graduate students and research mathmaticians interested in analysis.

Table of Contents

  • V. Adamyan and B. Pavlov -- Modified analytic perturbation procedure and chain rule for scattering matrices
  • A. Baranov, Y. Belov, A. Borichev, and D. Yakubovich -- Recent developments in spectral synthesis for exponential systems and for non-self-adjoint operators
  • A. Baranov and D. Sarason -- Quotient representations of inner functions
  • L. Baratchart -- Rational approximation, meromorphic approximation, extremal domains, weak asymptotics, non-Hermitian orthogonality
  • A. Böttcher -- Best constants for Markov type inequalities in Hilbert space norms
  • A. Brudnyi -- Stein-like theory for Banach-valued holomorphic functions on the maximal ideal space of \(H^\infty\) and the operator corona problem of Sz.-Nagy
  • S. A. Denisov -- Multidimensional \(L^2\) conjecture: A survey
  • L. Golinskii and S. Kupin -- On discrete spectrum of complex perturbations of finite band Schrödinger operators
  • M. Haase -- The functional calculus approach to operator cosine functions
  • Y. I. Lyubarskii and E. Malinnikova -- Composition operators on model spaces
  • H. Queffélec -- Approximation numbers of classes of symbolic operators
  • F. Shamoyan -- On the Fourier coefficients of functions of bounded type on the unit torus
  • S. Treil -- Sharp \(A_2\) estimates of Haar shifts via Bellman function
  • M. Veraar -- Embedding results for \(\gamma\)-spaces
  • A. Volberg and B. D. Wick -- Bergman-type singular integral operators on metric spaces
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