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Bernstein functions [[electronic resource] ] : theory and applications / / by Rene L. Schilling, Renming Song, Zoran Vondracek
Bernstein functions [[electronic resource] ] : theory and applications / / by Rene L. Schilling, Renming Song, Zoran Vondracek
Autore Schilling René L
Edizione [2nd ed.]
Pubbl/distr/stampa Berlin, : De Gruyter, c2012
Descrizione fisica 1 online resource (424 p.)
Disciplina 515/.8
Altri autori (Persone) SongRenming <1963->
VondračekZoran <1959->
Collana De Gruyter Studies in Mathematics
Soggetto topico Analytic functions
Monotonic functions
Quasianalytic functions
Soggetto genere / forma Electronic books.
ISBN 3-11-026900-7
1-283-85675-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Preface to the second edition -- Preface -- Contents -- Index of notation -- Chapter 1. Laplace transforms and completely monotone functions -- Chapter 2. Stieltjes functions -- Chapter 3. Bernstein functions -- Chapter 4. Positive and negative definite functions -- Chapter 5. A probabilistic intermezzo -- Chapter 6. Complete Bernstein functions -- Chapter 7. Properties of complete Bernstein functions -- Chapter 8. Thorin-Bernstein functions -- Chapter 9. A second probabilistic intermezzo -- Chapter 10. Transformations of Bernstein functions -- Chapter 11. Special Bernstein functions and potentials -- Chapter 12. The spectral theorem and operator monotonicity -- Chapter 13. Subordination and Bochner's functional calculus -- Chapter 14. Potential theory of subordinate killed Brownian motion -- Chapter 15. Applications to generalized diffusions -- Chapter 16. Examples of complete Bernstein functions -- Appendix -- Bibliography -- Index
Record Nr. UNINA-9910462980303321
Schilling René L  
Berlin, : De Gruyter, c2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Bernstein functions [[electronic resource] ] : theory and applications / / by Rene L. Schilling, Renming Song, Zoran Vondracek
Bernstein functions [[electronic resource] ] : theory and applications / / by Rene L. Schilling, Renming Song, Zoran Vondracek
Autore Schilling René L
Edizione [2nd ed.]
Pubbl/distr/stampa Berlin, : De Gruyter, c2012
Descrizione fisica 1 online resource (424 p.)
Disciplina 515/.8
Altri autori (Persone) SongRenming <1963->
VondračekZoran <1959->
Collana De Gruyter Studies in Mathematics
Soggetto topico Analytic functions
Monotonic functions
Quasianalytic functions
Soggetto non controllato Bernstein Function
Monotone Function
Probability Measure
Semigroup
Theory
ISBN 3-11-026900-7
1-283-85675-1
Classificazione SK 420
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Preface to the second edition -- Preface -- Contents -- Index of notation -- Chapter 1. Laplace transforms and completely monotone functions -- Chapter 2. Stieltjes functions -- Chapter 3. Bernstein functions -- Chapter 4. Positive and negative definite functions -- Chapter 5. A probabilistic intermezzo -- Chapter 6. Complete Bernstein functions -- Chapter 7. Properties of complete Bernstein functions -- Chapter 8. Thorin-Bernstein functions -- Chapter 9. A second probabilistic intermezzo -- Chapter 10. Transformations of Bernstein functions -- Chapter 11. Special Bernstein functions and potentials -- Chapter 12. The spectral theorem and operator monotonicity -- Chapter 13. Subordination and Bochner's functional calculus -- Chapter 14. Potential theory of subordinate killed Brownian motion -- Chapter 15. Applications to generalized diffusions -- Chapter 16. Examples of complete Bernstein functions -- Appendix -- Bibliography -- Index
Record Nr. UNINA-9910786435503321
Schilling René L  
Berlin, : De Gruyter, c2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Bounded variation and around / / Jürgen Appell, Józef Banaś, Nelson Merentes
Bounded variation and around / / Jürgen Appell, Józef Banaś, Nelson Merentes
Autore Appell Jürgen
Pubbl/distr/stampa Berlin : , : Walter de Gruyter GmbH & Co. KG, , [2014]
Descrizione fisica 1 online resource (488 p.)
Disciplina 515/.8
Altri autori (Persone) BanasJozef <1950->
MerentesNelson
Collana De Gruyter Series in Nonlinear Analysis and Applications
Soggetto topico Functions of bounded variation
Soggetto genere / forma Electronic books.
ISBN 3-11-026511-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Preface -- Contents -- Introduction -- 0. Prerequisites -- 1. Classical BV-spaces -- 2. Nonclassical BV-spaces -- 3. Absolutely continuous functions -- 4. Riemann-Stieltjes integrals -- 5. Nonlinear composition operators -- 6. Nonlinear superposition operators -- 7. Some applications -- References -- List of functions -- List of symbols -- Index -- Back matter
Record Nr. UNINA-9910463899403321
Appell Jürgen  
Berlin : , : Walter de Gruyter GmbH & Co. KG, , [2014]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Bounded variation and around / / Jürgen Appell, Józef Banaś, Nelson Merentes
Bounded variation and around / / Jürgen Appell, Józef Banaś, Nelson Merentes
Autore Appell Jürgen
Pubbl/distr/stampa Berlin : , : Walter de Gruyter GmbH & Co. KG, , [2014]
Descrizione fisica 1 online resource (488 p.)
Disciplina 515/.8
Altri autori (Persone) BanasJozef <1950->
MerentesNelson
Collana De Gruyter Series in Nonlinear Analysis and Applications
Soggetto topico Functions of bounded variation
Soggetto non controllato Boundary Value Problem
Bounded Variation
Continuity Properties
Fourier Analysis
Monotonicity Properties
Nonlinear Composition Operators
Nonlinear Integral Equation
ISBN 3-11-026511-7
Classificazione SK 600
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Preface -- Contents -- Introduction -- 0. Prerequisites -- 1. Classical BV-spaces -- 2. Nonclassical BV-spaces -- 3. Absolutely continuous functions -- 4. Riemann-Stieltjes integrals -- 5. Nonlinear composition operators -- 6. Nonlinear superposition operators -- 7. Some applications -- References -- List of functions -- List of symbols -- Index -- Back matter
Record Nr. UNINA-9910787891703321
Appell Jürgen  
Berlin : , : Walter de Gruyter GmbH & Co. KG, , [2014]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Bounded variation and around / / Jürgen Appell, Józef Banaś, Nelson Merentes
Bounded variation and around / / Jürgen Appell, Józef Banaś, Nelson Merentes
Autore Appell Jürgen
Pubbl/distr/stampa Berlin : , : Walter de Gruyter GmbH & Co. KG, , [2014]
Descrizione fisica 1 online resource (488 p.)
Disciplina 515/.8
Altri autori (Persone) BanasJozef <1950->
MerentesNelson
Collana De Gruyter Series in Nonlinear Analysis and Applications
Soggetto topico Functions of bounded variation
Soggetto non controllato Boundary Value Problem
Bounded Variation
Continuity Properties
Fourier Analysis
Monotonicity Properties
Nonlinear Composition Operators
Nonlinear Integral Equation
ISBN 3-11-026511-7
Classificazione SK 600
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Preface -- Contents -- Introduction -- 0. Prerequisites -- 1. Classical BV-spaces -- 2. Nonclassical BV-spaces -- 3. Absolutely continuous functions -- 4. Riemann-Stieltjes integrals -- 5. Nonlinear composition operators -- 6. Nonlinear superposition operators -- 7. Some applications -- References -- List of functions -- List of symbols -- Index -- Back matter
Record Nr. UNINA-9910823735903321
Appell Jürgen  
Berlin : , : Walter de Gruyter GmbH & Co. KG, , [2014]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Convex analysis in general vector spaces [[electronic resource] /] / C Zălinescu
Convex analysis in general vector spaces [[electronic resource] /] / C Zălinescu
Autore Zalinescu C. <1952->
Pubbl/distr/stampa River Edge, N.J. ; ; London, : World Scientific, c2002
Descrizione fisica 1 online resource (xx, 367 p. )
Disciplina 515/.8
Soggetto topico Convex functions
Convex sets
Functional analysis
Vector spaces
Soggetto genere / forma Electronic books.
ISBN 981-277-709-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ch. 1. Preliminary results on functional analysis. 1.1. Preliminary notions and results. 1.2. Closedness and interiority notions. 1.3. Open mapping theorems. 1.4. Variational principles. 1.5. Exercises. 1.6. Bibliographical notes -- ch. 2. Convex analysis in locally convex spaces. 2.1. Convex functions. 2.2. Semi-continuity of convex functions. 2.3. Conjugate functions. 2.4. The subdifferential of a convex function. 2.5. The general problem of convex programming. 2.6. Perturbed problems. 2.7. The fundamental duality formula. 2.8. Formulas for conjugates and e-subdifferentials, duality relations and optimality conditions. 2.9. Convex optimization with constraints. 2.10. A minimax theorem. 2.11. Exercises. 2.12. Bibliographical notes -- ch. 3. Some results and applications of convex analysis in normed spaces. 3.1. Further fundamental results in convex analysis. 3.2. Convexity and monotonicity of subdifferentials. 3.3. Some classes of functions of a real variable and differentiability of convex functions. 3.4. Well conditioned functions. 3.5. Uniformly convex and uniformly smooth convex functions. 3.6. Uniformly convex and uniformly smooth convex functions on bounded sets. 3.7. Applications to the geometry of normed spaces. 3.8. Applications to the best approximation problem. 3.9. Characterizations of convexity in terms of smoothness. 3.10. Weak sharp minima, well-behaved functions and global error bounds for convex inequalities. 3.11. Monotone multifunctions. 3.12. Exercises. 3.13. Bibliographical notes.
Record Nr. UNINA-9910451674103321
Zalinescu C. <1952->  
River Edge, N.J. ; ; London, : World Scientific, c2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Convex analysis in general vector spaces [[electronic resource] /] / C Zălinescu
Convex analysis in general vector spaces [[electronic resource] /] / C Zălinescu
Autore Zalinescu C. <1952->
Pubbl/distr/stampa River Edge, N.J. ; ; London, : World Scientific, c2002
Descrizione fisica 1 online resource (xx, 367 p. )
Disciplina 515/.8
Soggetto topico Convex functions
Convex sets
Functional analysis
Vector spaces
ISBN 981-277-709-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ch. 1. Preliminary results on functional analysis. 1.1. Preliminary notions and results. 1.2. Closedness and interiority notions. 1.3. Open mapping theorems. 1.4. Variational principles. 1.5. Exercises. 1.6. Bibliographical notes -- ch. 2. Convex analysis in locally convex spaces. 2.1. Convex functions. 2.2. Semi-continuity of convex functions. 2.3. Conjugate functions. 2.4. The subdifferential of a convex function. 2.5. The general problem of convex programming. 2.6. Perturbed problems. 2.7. The fundamental duality formula. 2.8. Formulas for conjugates and e-subdifferentials, duality relations and optimality conditions. 2.9. Convex optimization with constraints. 2.10. A minimax theorem. 2.11. Exercises. 2.12. Bibliographical notes -- ch. 3. Some results and applications of convex analysis in normed spaces. 3.1. Further fundamental results in convex analysis. 3.2. Convexity and monotonicity of subdifferentials. 3.3. Some classes of functions of a real variable and differentiability of convex functions. 3.4. Well conditioned functions. 3.5. Uniformly convex and uniformly smooth convex functions. 3.6. Uniformly convex and uniformly smooth convex functions on bounded sets. 3.7. Applications to the geometry of normed spaces. 3.8. Applications to the best approximation problem. 3.9. Characterizations of convexity in terms of smoothness. 3.10. Weak sharp minima, well-behaved functions and global error bounds for convex inequalities. 3.11. Monotone multifunctions. 3.12. Exercises. 3.13. Bibliographical notes.
Record Nr. UNINA-9910778253603321
Zalinescu C. <1952->  
River Edge, N.J. ; ; London, : World Scientific, c2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Derivates of interval functions / / Brian S. Thomson
Derivates of interval functions / / Brian S. Thomson
Autore Thomson Brian S. <1941->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1991
Descrizione fisica 1 online resource (106 p.)
Disciplina 515/.8
Collana Memoirs of the American Mathematical Society
Soggetto topico Interval functions
Differentiable functions
Soggetto genere / forma Electronic books.
ISBN 1-4704-0878-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""1 Introduction""; ""2 Covering relations""; ""2.1 Basic language of covering relations""; ""2.2 Full and fine covering""; ""2.3 Covering lemmas""; ""3 The variation""; ""3.1 Variation of an interval�point function""; ""3.2 Differential equivalence""; ""3.3 Variational measures""; ""3.4 Increasing sets property""; ""3.5 Regularity properties""; ""3.6 The upper integral""; ""3.7 The variational measure as an integral""; ""3.8 The fine variational measure as an integral""; ""3.9 Differential equivalence""; ""3.10 A density theorem""; ""4 Derivates""
""4.1 Definitions of the derivates""""4.2 Baire class of derivates""; ""4.3 Variational estimates""; ""4.4 Lipschitz conditions""; ""4.5 Exact derivatives""; ""5 Absolute continuity and singularity""; ""5.1 Basic Definitions""; ""5.2 Further properties""; ""5.3 Measure properties""; ""5.4 A stronger orthogonality relation""; ""5.5 Derivation properties and singularity""; ""5.6 Characterization of singularity""; ""5.7 Derivation properties and absolute continuity""; ""5.8 Characterization of absolute continuity""; ""6 Measures""; ""6.1 Lebesgue measure""; ""6.2 Total variation measures""
Record Nr. UNINA-9910480679203321
Thomson Brian S. <1941->  
Providence, Rhode Island : , : American Mathematical Society, , 1991
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Derivates of interval functions / / Brian S. Thomson
Derivates of interval functions / / Brian S. Thomson
Autore Thomson Brian S. <1941->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1991
Descrizione fisica 1 online resource (106 p.)
Disciplina 515/.8
Collana Memoirs of the American Mathematical Society
Soggetto topico Interval functions
Differentiable functions
ISBN 1-4704-0878-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""1 Introduction""; ""2 Covering relations""; ""2.1 Basic language of covering relations""; ""2.2 Full and fine covering""; ""2.3 Covering lemmas""; ""3 The variation""; ""3.1 Variation of an interval�point function""; ""3.2 Differential equivalence""; ""3.3 Variational measures""; ""3.4 Increasing sets property""; ""3.5 Regularity properties""; ""3.6 The upper integral""; ""3.7 The variational measure as an integral""; ""3.8 The fine variational measure as an integral""; ""3.9 Differential equivalence""; ""3.10 A density theorem""; ""4 Derivates""
""4.1 Definitions of the derivates""""4.2 Baire class of derivates""; ""4.3 Variational estimates""; ""4.4 Lipschitz conditions""; ""4.5 Exact derivatives""; ""5 Absolute continuity and singularity""; ""5.1 Basic Definitions""; ""5.2 Further properties""; ""5.3 Measure properties""; ""5.4 A stronger orthogonality relation""; ""5.5 Derivation properties and singularity""; ""5.6 Characterization of singularity""; ""5.7 Derivation properties and absolute continuity""; ""5.8 Characterization of absolute continuity""; ""6 Measures""; ""6.1 Lebesgue measure""; ""6.2 Total variation measures""
Record Nr. UNINA-9910788876403321
Thomson Brian S. <1941->  
Providence, Rhode Island : , : American Mathematical Society, , 1991
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Derivates of interval functions / / Brian S. Thomson
Derivates of interval functions / / Brian S. Thomson
Autore Thomson Brian S. <1941->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1991
Descrizione fisica 1 online resource (106 p.)
Disciplina 515/.8
Collana Memoirs of the American Mathematical Society
Soggetto topico Interval functions
Differentiable functions
ISBN 1-4704-0878-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""1 Introduction""; ""2 Covering relations""; ""2.1 Basic language of covering relations""; ""2.2 Full and fine covering""; ""2.3 Covering lemmas""; ""3 The variation""; ""3.1 Variation of an interval�point function""; ""3.2 Differential equivalence""; ""3.3 Variational measures""; ""3.4 Increasing sets property""; ""3.5 Regularity properties""; ""3.6 The upper integral""; ""3.7 The variational measure as an integral""; ""3.8 The fine variational measure as an integral""; ""3.9 Differential equivalence""; ""3.10 A density theorem""; ""4 Derivates""
""4.1 Definitions of the derivates""""4.2 Baire class of derivates""; ""4.3 Variational estimates""; ""4.4 Lipschitz conditions""; ""4.5 Exact derivatives""; ""5 Absolute continuity and singularity""; ""5.1 Basic Definitions""; ""5.2 Further properties""; ""5.3 Measure properties""; ""5.4 A stronger orthogonality relation""; ""5.5 Derivation properties and singularity""; ""5.6 Characterization of singularity""; ""5.7 Derivation properties and absolute continuity""; ""5.8 Characterization of absolute continuity""; ""6 Measures""; ""6.1 Lebesgue measure""; ""6.2 Total variation measures""
Record Nr. UNINA-9910829049503321
Thomson Brian S. <1941->  
Providence, Rhode Island : , : American Mathematical Society, , 1991
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui