The Resource Analysis in Banach Spaces : Volume II: Probabilistic Methods and Operator Theory, by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis, (electronic resource)

Analysis in Banach Spaces : Volume II: Probabilistic Methods and Operator Theory, by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis, (electronic resource)

Label
Analysis in Banach Spaces : Volume II: Probabilistic Methods and Operator Theory
Title
Analysis in Banach Spaces
Title remainder
Volume II: Probabilistic Methods and Operator Theory
Statement of responsibility
by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. In turn, the next two chapters provide a detailed treatment of the theory of R-boundedness and Banach space valued square functions developed over the last 20 years. In the last chapter, this content is applied to develop the holomorphic functional calculus of sectorial and bi-sectorial operators in Banach spaces. Given its breadth of coverage, this book will be an invaluable reference to graduate students and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.
Member of
http://library.link/vocab/creatorName
Hytönen, Tuomas
Image bit depth
0
LC call number
QA319-329.9
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • van Neerven, Jan.
  • Veraar, Mark.
  • Weis, Lutz.
  • SpringerLink
Series statement
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,
Series volume
67
http://library.link/vocab/subjectName
  • Mathematics
  • Fourier analysis
  • Functional analysis
  • Operator theory
  • Differential equations, Partial
  • Probabilities
  • Mathematics
  • Functional Analysis
  • Operator Theory
  • Fourier Analysis
  • Partial Differential Equations
  • Probability Theory and Stochastic Processes
Label
Analysis in Banach Spaces : Volume II: Probabilistic Methods and Operator Theory, by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
6.Random sums.-7.Type, cotype, and related properties -- 8.R-boundedness -- 9.Square functions and radonifying operators -- 11.The H1-functional calculus -- P.Open problems -- E.Probability theory -- F Banach lattices -- G Semigroups of linear operators -- H.Holomorphic functions on the strip -- I.Muckenhoupt weights -- References -- Index
Dimensions
unknown
Extent
XXIII, 616 p. 7 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319698083
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-69808-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-69808-3
Label
Analysis in Banach Spaces : Volume II: Probabilistic Methods and Operator Theory, by Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
6.Random sums.-7.Type, cotype, and related properties -- 8.R-boundedness -- 9.Square functions and radonifying operators -- 11.The H1-functional calculus -- P.Open problems -- E.Probability theory -- F Banach lattices -- G Semigroups of linear operators -- H.Holomorphic functions on the strip -- I.Muckenhoupt weights -- References -- Index
Dimensions
unknown
Extent
XXIII, 616 p. 7 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319698083
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-69808-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-69808-3

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