The Resource Complex proofs of real theorems, Peter D. Lax, Lawrence Zalcman

Complex proofs of real theorems, Peter D. Lax, Lawrence Zalcman

Label
Complex proofs of real theorems
Title
Complex proofs of real theorems
Statement of responsibility
Peter D. Lax, Lawrence Zalcman
Creator
Contributor
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Lax, Peter D
Index
no index present
LC call number
QA331.7
LC item number
.L39 2012
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Zalcman, Lawrence Allen
Series statement
University lecture series
Series volume
v. 58
http://library.link/vocab/subjectName
  • Functions of complex variables
  • Approximation theory
  • Functional analysis
  • Approximation theory
  • Functional analysis
  • Functions of complex variables
  • Funktionentheorie
  • Harmonische Analyse
  • Operatortheorie
  • Functions of a complex variable
  • Approximations and expansions
  • Operator theory
  • Harmonic analysis on Euclidean spaces
  • Functional analysis
  • Real functions
  • Number theory
  • Probability theory and stochastic processes
Label
Complex proofs of real theorems, Peter D. Lax, Lawrence Zalcman
Instantiates
Publication
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Chapter 1. Early triumphs -- 1.1. The Basel problem -- 1.2. The fundamental theorem of algebra -- Chapter 2. Approximation -- 2.1. Completeness of weighted powers -- 2.2. The Müntz approximation theorem -- Chapter 3. Operator theory -- 3.1. The Fuglede-Putnam theorem -- 3.2. Toeplitz operators -- 3.3. A theorem of Beurling -- 3.4. Prediction theory -- 3.5. The Riesz-Thorin convexity theorem -- 3.6. The Hilbert transform -- Chapter 4. Harmonic analysis -- 4.1. Fourier uniqueness via complex variables (d'après D.J. Newman) -- 4.2. A curious functional equation -- 4.3. Uniqueness and nonuniqueness for the Radon transform -- 4.4. The Paley-Wiener theorem -- 4.5. The Titchmarsh convolution theorem -- 4.6. Hardy's theorem -- Chapter 5. Banach algebras: the Gleason-Kahane-Żelazko theorem -- Chapter 6. Complex dynamics: the Fatou-Julia-Baker theorem -- Chapter 7. The prime number theorem -- Coda. Transonic airfoils and SLE -- Appendix A. Liouville's theorem in Banach spaces -- Appendix B. The Borel-Carathéodory inequality -- Appendix C. Phragmén-Lindelöf theorems -- Appendix D. Normal families
Dimensions
25 cm.
Extent
xi, 90 pages
Isbn
9780821875599
Isbn Type
(alk. paper)
Lccn
2011045859
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)767719672
  • (OCoLC)ocn767719672
Label
Complex proofs of real theorems, Peter D. Lax, Lawrence Zalcman
Publication
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Chapter 1. Early triumphs -- 1.1. The Basel problem -- 1.2. The fundamental theorem of algebra -- Chapter 2. Approximation -- 2.1. Completeness of weighted powers -- 2.2. The Müntz approximation theorem -- Chapter 3. Operator theory -- 3.1. The Fuglede-Putnam theorem -- 3.2. Toeplitz operators -- 3.3. A theorem of Beurling -- 3.4. Prediction theory -- 3.5. The Riesz-Thorin convexity theorem -- 3.6. The Hilbert transform -- Chapter 4. Harmonic analysis -- 4.1. Fourier uniqueness via complex variables (d'après D.J. Newman) -- 4.2. A curious functional equation -- 4.3. Uniqueness and nonuniqueness for the Radon transform -- 4.4. The Paley-Wiener theorem -- 4.5. The Titchmarsh convolution theorem -- 4.6. Hardy's theorem -- Chapter 5. Banach algebras: the Gleason-Kahane-Żelazko theorem -- Chapter 6. Complex dynamics: the Fatou-Julia-Baker theorem -- Chapter 7. The prime number theorem -- Coda. Transonic airfoils and SLE -- Appendix A. Liouville's theorem in Banach spaces -- Appendix B. The Borel-Carathéodory inequality -- Appendix C. Phragmén-Lindelöf theorems -- Appendix D. Normal families
Dimensions
25 cm.
Extent
xi, 90 pages
Isbn
9780821875599
Isbn Type
(alk. paper)
Lccn
2011045859
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)767719672
  • (OCoLC)ocn767719672

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