The corona problem: connections between operator theory, function theory, and geometry Edited by Ronald G Douglas, Steven G Krantz, Eric T. Sawyer, Sergei Treil, Brett D. Wick - New York : Springer, c2014. - viii, 231 p. : ill. ; 24 cm. - Fields Institute communications, 72 .

The History of the Corona Problem (R.G. Douglas, S.G. Krantz, E.T. Sawyer, S. Treil, B.D. Wick).- Corona Problem for H^\infty on Riemann Surfaces (A. Brudnyi).- Connections of the Corona Problem with Operator Theory and Complex Geometry (R.G. Douglas).- On the Maximal Ideal Space of a Sarason-Type Algebra on the Unit Ball (J. Eschmeier).- A Subalgebra of the Hardy Algebra Relevant in Control Theory and its Algebraic-Analytic Properties (M. Frentz, A. Sasane).- The Corona Problem in Several Complex Variables (S.G. Krantz).- Corona-Type Theorems and Division in Some Function Algebras on Planar Domains (R. Mortini, R. Rupp).- The Ring of Real-Valued Multivariate Polynomials: An Analyst's Perspective (R. Mortini, R. Rupp).- Structure in the Spectra of Some Multiplier Algebras (R. Rochberg).- Corona Solutions Depending Smoothly on Corona Data (S. Treil, B.D. Wick).- On the Taylor Spectrum of M-Tuples of Analytic Toeplitz Operators on the Polydisk (T.T. Trent).

"Fields/The Fields Institute for Research in the Mathematical Sciences."

9781493956012


Functions of complex variables
Operator theory
Geometry
Mathematics
Functions of a Complex Variable
Several Complex Variables and Analytic Spaces
Operator Theory
Functional Analysis
MATHEMATICS--Calculus
MATHEMATICS--Mathematical Analysis

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