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 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||