The Resource Concrete Functional Calculus, by R. M. Dudley, R. Norvaiša, (electronic resource)

Concrete Functional Calculus, by R. M. Dudley, R. Norvaiša, (electronic resource)

Label
Concrete Functional Calculus
Title
Concrete Functional Calculus
Statement of responsibility
by R. M. Dudley, R. Norvaiša
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
Concrete Functional Calculus focuses primarily on differentiability of some nonlinear operators on functions or pairs of functions. This includes composition of two functions, and the product integral, taking a matrix- or operator-valued coefficient function into a solution of a system of linear differential equations with the given coefficients. For nonlinear integral equations with respect to possibly discontinuous functions having unbounded variation, existence and uniqueness of solutions are proved under suitable assumptions. Key features and topics: * Extensive usage of p-variation of functions * Applications to stochastic processes. This work will serve as a thorough reference on its main topics for researchers and graduate students with a background in real analysis and, for Chapter 12, in probability
Member of
Is Subseries of
http://library.link/vocab/creatorName
Dudley, R. M
Dewey number
515.7
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • 2ZW8MTfQDj8
  • kYTNk2ATewk
Language note
English
LC call number
QA319-329.9
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Norvaiša, R.
Series statement
Springer Monographs in Mathematics,
http://library.link/vocab/subjectName
  • Functional analysis
  • Integral equations
  • Operator theory
  • Mathematics
  • Functional Analysis
  • Integral Equations
  • Operator Theory
  • Real Functions
Label
Concrete Functional Calculus, by R. M. Dudley, R. Norvaiša, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Preface -- 1 Introduction and Overview -- 2 Definitions and Basic Properties of Extended Riemann-Stieltjes Integrals -- 3 Phi-variation and p-variation; Inequalities for Integrals -- 4 Banach Algebras -- 5 Derivatives and Analyticity in Normed Spaces -- 6 Nemytskii Operators on Some Function Spaces -- 7 Nemytskii Oerators on Lp Spaces -- 8 Two-Function Composition -- 9 Product Integration -- 10 Nonlinear Differential and Integral Equations -- 11 Fourier Series -- 12 Stochastic Processes and Phi-Variation -- Appendix Nonatomic Measure Spaces -- References -- Subject Index -- Author Index -- Index of Notation
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (675 p.)
Form of item
online
Isbn
9781441969507
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4419-6950-7
Specific material designation
remote
System control number
  • (CKB)2670000000056842
  • (EBL)645864
  • (OCoLC)902399414
  • (SSID)ssj0000449246
  • (PQKBManifestationID)11284696
  • (PQKBTitleCode)TC0000449246
  • (PQKBWorkID)10429049
  • (PQKB)10991126
  • (DE-He213)978-1-4419-6950-7
  • (MiAaPQ)EBC645864
  • (EXLCZ)992670000000056842
Label
Concrete Functional Calculus, by R. M. Dudley, R. Norvaiša, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Preface -- 1 Introduction and Overview -- 2 Definitions and Basic Properties of Extended Riemann-Stieltjes Integrals -- 3 Phi-variation and p-variation; Inequalities for Integrals -- 4 Banach Algebras -- 5 Derivatives and Analyticity in Normed Spaces -- 6 Nemytskii Operators on Some Function Spaces -- 7 Nemytskii Oerators on Lp Spaces -- 8 Two-Function Composition -- 9 Product Integration -- 10 Nonlinear Differential and Integral Equations -- 11 Fourier Series -- 12 Stochastic Processes and Phi-Variation -- Appendix Nonatomic Measure Spaces -- References -- Subject Index -- Author Index -- Index of Notation
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (675 p.)
Form of item
online
Isbn
9781441969507
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4419-6950-7
Specific material designation
remote
System control number
  • (CKB)2670000000056842
  • (EBL)645864
  • (OCoLC)902399414
  • (SSID)ssj0000449246
  • (PQKBManifestationID)11284696
  • (PQKBTitleCode)TC0000449246
  • (PQKBWorkID)10429049
  • (PQKB)10991126
  • (DE-He213)978-1-4419-6950-7
  • (MiAaPQ)EBC645864
  • (EXLCZ)992670000000056842

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