Recent Advances in Operator-Related Function Theory (Contemporary Mathematics)

Recent Advances in Operator-Related Function Theory (Contemporary Mathematics)

By: Richard M. Timoney (editor), Michael I. Stessin (editor), Alec L. Matheson (editor)Paperback

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The articles in this book are based on talks at a conference devoted to interrelations between function theory and the theory of operators. The main theme of the book is the role of Alexandrov-Clark measures. Two of the articles provide the introduction to the theory of Alexandrov-Clark measures and to its applications in the spectral theory of linear operators. The remaining articles deal with recent results in specific directions related to the theme of the book.


Aleksandrov-Clark measures by A. Poltoratski and D. Sarason Applications of spectral measures by A. Matheson and M. Stessin Parametrizing distinguished varieties by J. Agler and J. E. McCarthy Approximation by CR functions on the unit sphere in $\mathbb{C}^2$ by J. T. Anderson and J. Wermer Superposition operators and the order and type of entire functions by S. M. Buckley and D. Vukotic Smooth functions in star-invariant subspaces by K. Dyakonov and D. Khavinson Conjugation and Clark operators by S. R. Garcia A class of conformal mappings with applications to function spaces by D. Girela Composition operators between Bergman spaces of functions of several variables by H. Koo and W. Smith Isometries of some classical function spaces among the composition operators by M. J. Martin and D. Vukotic New results on a classical operator by A. Montes-Rodriguez and S. A. Shkarin Size conditions to be in a finitely generated ideal of $H^\infty$ by J. Pau The classical Dirichlet space by W. T. Ross Comparing topologies on the space of composition operators by E. Saksman and C. Sundberg Brennan's conjecture for weighted composition operators by W. Smith.

Product Details

  • ISBN13: 9780821839256
  • Format: Paperback
  • Number Of Pages: 214
  • ID: 9780821839256
  • ISBN10: 082183925X

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