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- catalog contributor b11693380.
- catalog contributor b11693381.
- catalog created "c2000.".
- catalog date "2000".
- catalog date "c2000.".
- catalog dateCopyrighted "c2000.".
- catalog description "Classical boundary value results -- Limits -- Pseudocontinuations -- The Hardy space of the disk -- H[superscript p] and boundary values -- Fourier analysis and H[superscript p] theory -- The Cauchy transform -- Duality -- The Nevanlinna class -- The Hardy spaces of the upper-half plane -- Motivation -- Basic definitions -- Poisson and conjugate Poisson integrals -- Maximal functions -- The Hilbert transform -- Some examples -- The harmonic Hardy space -- Distributions -- The atomic decomposition -- Distributions and H[superscript p] -- The space H[superscript p] (C\R) -- The backward shift on H[superscript p] for p [set membership] (1, [infinity]) -- The case p] 1 -- The first and most straightforward proof -- The second proof -- using Fatou's jump theorem -- Application: Bergman spaces -- Application: spectral properties -- The third proof -- using the Nevanlinna theory -- Application: VMOA, BMOA, and L[superscript 1] [square root]H[superscript 1 subscript 0] -- The case p = 1 -- Cyclic vectors -- Duality -- The commutant -- Compactness of the inclusion operator -- The backward shift on H[superscript p] for p [set membership] (0, 1) -- The parameters -- A reduction -- Rational approximation -- Spectral properties -- Cyclic vectors -- Duality -- The commutant.".
- catalog description "Includes bibliographical references (p. 191-194) and index.".
- catalog extent "xi, 199 p. ;".
- catalog identifier "0821820834 (hc : alk. paper)".
- catalog isPartOf "Mathematical surveys and monographs ; no. 79.".
- catalog isPartOf "Mathematical surveys and monographs, 0076-5376 ; v. 79".
- catalog issued "2000".
- catalog issued "c2000.".
- catalog language "eng".
- catalog publisher "Providence, RI : American Mathematical Society,".
- catalog subject "515/.94 21".
- catalog subject "Hardy spaces.".
- catalog subject "QA331 .C53 2000".
- catalog tableOfContents "Classical boundary value results -- Limits -- Pseudocontinuations -- The Hardy space of the disk -- H[superscript p] and boundary values -- Fourier analysis and H[superscript p] theory -- The Cauchy transform -- Duality -- The Nevanlinna class -- The Hardy spaces of the upper-half plane -- Motivation -- Basic definitions -- Poisson and conjugate Poisson integrals -- Maximal functions -- The Hilbert transform -- Some examples -- The harmonic Hardy space -- Distributions -- The atomic decomposition -- Distributions and H[superscript p] -- The space H[superscript p] (C\R) -- The backward shift on H[superscript p] for p [set membership] (1, [infinity]) -- The case p] 1 -- The first and most straightforward proof -- The second proof -- using Fatou's jump theorem -- Application: Bergman spaces -- Application: spectral properties -- The third proof -- using the Nevanlinna theory -- Application: VMOA, BMOA, and L[superscript 1] [square root]H[superscript 1 subscript 0] -- The case p = 1 -- Cyclic vectors -- Duality -- The commutant -- Compactness of the inclusion operator -- The backward shift on H[superscript p] for p [set membership] (0, 1) -- The parameters -- A reduction -- Rational approximation -- Spectral properties -- Cyclic vectors -- Duality -- The commutant.".
- catalog title "The backward shift on the Hardy space / Joseph A. Cima, William T. Ross.".
- catalog type "text".