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Quantum Transport [[electronic resource] ] : Modelling, Analysis and Asymptotics - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11–16, 2006 / / by Grégoire Allaire, Anton Arnold, Pierre Degond, Thomas Y. Hou ; edited by Ben Abdallah Naoufel, Giovanni Frosali
| Quantum Transport [[electronic resource] ] : Modelling, Analysis and Asymptotics - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11–16, 2006 / / by Grégoire Allaire, Anton Arnold, Pierre Degond, Thomas Y. Hou ; edited by Ben Abdallah Naoufel, Giovanni Frosali |
| Autore | Allaire Grégoire |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008 |
| Descrizione fisica | 1 online resource (XIV, 260 p. 57 illus.) |
| Disciplina | 530.1433 |
| Collana | C.I.M.E. Foundation Subseries |
| Soggetto topico |
Partial differential equations
Quantum physics Mechanics Fluids Partial Differential Equations Quantum Physics Classical Mechanics Fluid- and Aerodynamics |
| ISBN | 3-540-79574-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Periodic Homogenization and Effective Mass Theorems for the Schrödinger Equation -- Mathematical Properties of Quantum Evolution Equations -- Quantum Hydrodynamic and Diffusion Models Derived from the Entropy Principle -- Multiscale Computations for Flow and Transport in Heterogeneous Media. |
| Record Nr. | UNISA-996466381403316 |
Allaire Grégoire
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Quantum Transport [[electronic resource] ] : Modelling, Analysis and Asymptotics - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11–16, 2006 / / by Grégoire Allaire, Anton Arnold, Pierre Degond, Thomas Y. Hou ; edited by Ben Abdallah Naoufel, Giovanni Frosali
| Quantum Transport [[electronic resource] ] : Modelling, Analysis and Asymptotics - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11–16, 2006 / / by Grégoire Allaire, Anton Arnold, Pierre Degond, Thomas Y. Hou ; edited by Ben Abdallah Naoufel, Giovanni Frosali |
| Autore | Allaire Grégoire |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008 |
| Descrizione fisica | 1 online resource (XIV, 260 p. 57 illus.) |
| Disciplina | 530.1433 |
| Collana | C.I.M.E. Foundation Subseries |
| Soggetto topico |
Partial differential equations
Quantum physics Mechanics Fluids Partial Differential Equations Quantum Physics Classical Mechanics Fluid- and Aerodynamics |
| ISBN | 3-540-79574-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Periodic Homogenization and Effective Mass Theorems for the Schrödinger Equation -- Mathematical Properties of Quantum Evolution Equations -- Quantum Hydrodynamic and Diffusion Models Derived from the Entropy Principle -- Multiscale Computations for Flow and Transport in Heterogeneous Media. |
| Record Nr. | UNINA-9910484175003321 |
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Allaire Grégoire
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Quasi-stationary distributions [[electronic resource] ] : Markov chains, diffusions and dynamical systems / / by Pierre Collet, Servet Martínez, Jaime San Martín
| Quasi-stationary distributions [[electronic resource] ] : Markov chains, diffusions and dynamical systems / / by Pierre Collet, Servet Martínez, Jaime San Martín |
| Autore | Collet Pierre |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (287 p.) |
| Disciplina |
519.2/3
519.232 |
| Collana | Probability and Its Applications |
| Soggetto topico |
Probabilities
Dynamics Ergodic theory Biomathematics Partial differential equations Probability Theory and Stochastic Processes Dynamical Systems and Ergodic Theory Genetics and Population Dynamics Partial Differential Equations |
| ISBN |
1-283-90989-8
3-642-33131-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1.Introduction -- 2.Quasi-stationary Distributions: General Results -- 3.Markov Chains on Finite Spaces -- 4.Markov Chains on Countable Spaces -- 5.Birth and Death Chains -- 6.Regular Diffusions on [0,∞) -- 7.Infinity as Entrance Boundary -- 8.Dynamical Systems -- References -- Index -- Table of Notations -- Citations Index. . |
| Record Nr. | UNINA-9910438149203321 |
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Collet Pierre
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Quasilinear hyperbolic systems and waves / A. Jeffrey
| Quasilinear hyperbolic systems and waves / A. Jeffrey |
| Autore | Jeffrey, Alan |
| Pubbl/distr/stampa | London : Pitman Publishing, 1976 |
| Descrizione fisica | [8], 230 p. : ill. ; 25 cm |
| Disciplina | 515.353 |
| Collana | Pitman research notes in mathematics series, ISSN 02693674 ; 5 |
| Soggetto topico |
Hyperbolic differential equations
Partial differential equations Wave-motion |
| ISBN | 0273001027 |
| Classificazione |
AMS 35-02
AMS 35L60 AMS 35L65 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001278869707536 |
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Jeffrey, Alan
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| London : Pitman Publishing, 1976 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Questions About Elastic Waves [[electronic resource] /] / by Jüri Engelbrecht
| Questions About Elastic Waves [[electronic resource] /] / by Jüri Engelbrecht |
| Autore | Engelbrecht Jüri |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (205 p.) |
| Disciplina | 531.3823 |
| Soggetto topico |
Applied mathematics
Engineering mathematics Physics Partial differential equations Mathematical models Computer mathematics Applications of Mathematics Numerical and Computational Physics, Simulation Partial Differential Equations Mathematical Modeling and Industrial Mathematics Computational Mathematics and Numerical Analysis |
| ISBN | 3-319-14791-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Introduction— What is all that about?- 2 What is wave motion -- 3 How to model waves? -- 4 What are internal variables? Arkadi Berezovski answers.- 5 What are evolution equations? . 6 What physical effects are involved? - 7 What physical mechanisms govern waves in non-conservative systems? - 8 What is complexity of waves? - References -- Index. |
| Record Nr. | UNINA-9910299780503321 |
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Engelbrecht Jüri
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions [[electronic resource] /] / Sergei B. Kuksin
| Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions [[electronic resource] /] / Sergei B. Kuksin |
| Autore | Kuksin Sergei B. |
| Pubbl/distr/stampa | Zuerich, Switzerland, : European Mathematical Society Publishing House, 2006 |
| Descrizione fisica | 1 online resource (102 pages) |
| Collana | Zurich Lectures in Advanced Mathematics (ZLAM) |
| Soggetto topico |
Differential equations
Partial differential equations Fluid mechanics |
| ISBN | 3-03719-521-5 |
| Classificazione | 35-xx76-xx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910151937703321 |
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Kuksin Sergei B.
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| Zuerich, Switzerland, : European Mathematical Society Publishing House, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Rate-Independent Systems [[electronic resource] ] : Theory and Application / / by Alexander Mielke, Tomáš Roubíček
| Rate-Independent Systems [[electronic resource] ] : Theory and Application / / by Alexander Mielke, Tomáš Roubíček |
| Autore | Mielke Alexander |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (677 p.) |
| Disciplina | 510 |
| Collana | Applied Mathematical Sciences |
| Soggetto topico |
Partial differential equations
Physics Mechanics Mechanics, Applied Partial Differential Equations Mathematical Methods in Physics Solid Mechanics |
| ISBN | 1-4939-2706-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. A general view on rate-independent systems -- 2. Energetic rate-independent systems -- 3. Rate-independent systems in Banach spaces -- 4. Applications in continuum mechanics and physics of solids -- 5. Beyond rate independence -- Appendices -- References -- Index . |
| Record Nr. | UNINA-9910300257503321 |
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Mielke Alexander
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| New York, NY : , : Springer New York : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Rational Bases and Generalized Barycentrics [[electronic resource] ] : Applications to Finite Elements and Graphics / / by Eugene Wachspress
| Rational Bases and Generalized Barycentrics [[electronic resource] ] : Applications to Finite Elements and Graphics / / by Eugene Wachspress |
| Autore | Wachspress Eugene |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (302 p.) |
| Disciplina | 620 |
| Soggetto topico |
Applied mathematics
Engineering mathematics Algebraic geometry Partial differential equations Computer graphics Mathematical and Computational Engineering Algebraic Geometry Partial Differential Equations Computer Graphics |
| ISBN | 3-319-21614-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I -- Theorems and lemmas -- Chapter 1 Patchwork approximation in numerical analysis -- Chapter 2 The quadrilateral -- Chapter 3 Rational wedges for selected polycons -- Chapter 4. Algebraic geometry foundations -- Chapter 5 Rational wedge construction for polycons and polypols -- Chapter 6 Approximation of higher degree -- Chapter 7 Three-dimensional approximation -- Chapter 8 A rational solution to an irrational problem -- Chapter 9 Finite element discretization -- Chapter 10 Two-level computation -- Part II -- Chapter 11. Two dimensions -- Chapter 12. Higher dimensions -- Chapter 13. Forty years after -- Part III.- Chapter 14. Computer programs. |
| Record Nr. | UNINA-9910254235403321 |
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Wachspress Eugene
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Rational Extended Thermodynamics beyond the Monatomic Gas [[electronic resource] /] / by Tommaso Ruggeri, Masaru Sugiyama
| Rational Extended Thermodynamics beyond the Monatomic Gas [[electronic resource] /] / by Tommaso Ruggeri, Masaru Sugiyama |
| Autore | Ruggeri Tommaso |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (381 p.) |
| Disciplina | 510 |
| Soggetto topico |
Mathematical physics
Thermodynamics Fluids Partial differential equations Mechanics Mechanics, Applied Mathematical Applications in the Physical Sciences Fluid- and Aerodynamics Partial Differential Equations Solid Mechanics |
| ISBN | 3-319-13341-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Introduction -- 2 Mathematical Structure -- 3 Waves in Hyperbolic Systems -- 4 Survey of ET of Rarefied Monatomic Gases -- 5 ET Theory of Polyatomic Rarefied Gas and Dense Gas -- 6 Maximum entropy principle for rarefied polyatomic gases -- 7 Stationary heat conduction in a polyatomic gas at rest -- 8 Linear Wave in Polyatomic Gas -- 9 Shock Wave -- 10 Fluctuating hydrodynamics -- 11 Light scattering in Polyatomic Gas -- 12 ET6 Theory of Polyatomic Rarefied Gas and Dense Gas -- 13 Non linear ET6 -- 14 Molecular ET Theory of Polyatomic Rarefied Gas -- 15 ET of dense gas with 6 moments -- 16 Mixture of Gases -- 17 Hyperbolic Parabolic Limit, Max wellian iteration and Objectivity. |
| Record Nr. | UNINA-9910300256603321 |
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Ruggeri Tommaso
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Real Analysis [[electronic resource] /] / by Emmanuele DiBenedetto
| Real Analysis [[electronic resource] /] / by Emmanuele DiBenedetto |
| Autore | DiBenedetto Emmanuele |
| Edizione | [2nd ed. 2016.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2016 |
| Descrizione fisica | 1 online resource (XXXII, 596 p. 4 illus.) |
| Disciplina | 515.353 |
| Collana | Birkhäuser Advanced Texts Basler Lehrbücher |
| Soggetto topico |
Measure theory
Calculus of variations Partial differential equations Approximation theory Applied mathematics Engineering mathematics Measure and Integration Calculus of Variations and Optimal Control; Optimization Partial Differential Equations Approximations and Expansions Applications of Mathematics |
| ISBN | 1-4939-4005-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface to the Second Edition -- Preface to the First Edition -- Acknowledgments -- Contents -- 1 Preliminaries -- 1 Countable Sets -- 2 The Cantor Set -- 3 Cardinality -- 3.1 Some Examples -- 4 Cardinality of Some Infinite Cartesian Products -- 5 Orderings, the Maximal Principle, and the Axiom of Choice -- 6 Well Ordering -- 6.1 The First Uncountable -- 1c Countable Sets -- 2c The Cantor Set -- 2.1c A Generalized Cantor Set of Positive Measure -- 2.2c A Generalized Cantor Set of Measure Zero -- 2.3c Perfect Sets -- 3c Cardinality -- 2 Topologies and Metric Spaces -- 1 Topological Spaces -- 1.1 Hausdorff and Normal Spaces -- 2 Urysohn's Lemma -- 3 The Tietze Extension Theorem -- 4 Bases, Axioms of Countability and Product Topologies -- 4.1 Product Topologies -- 5 Compact Topological Spaces -- 5.1 Sequentially Compact Topological Spaces -- 6 Compact Subsets of mathbbRN -- 7 Continuous Functions on Countably Compact Spaces -- 8 Products of Compact Spaces -- 9 Vector Spaces -- 9.1 Convex Sets -- 9.2 Linear Maps and Isomorphisms -- 10 Topological Vector Spaces -- 10.1 Boundedness and Continuity -- 11 Linear Functionals -- 12 Finite Dimensional Topological Vector Spaces -- 12.1 Locally Compact Spaces -- 13 Metric Spaces -- 13.1 Separation and Axioms of Countability -- 13.2 Equivalent Metrics -- 13.3 Pseudo Metrics -- 14 Metric Vector Spaces -- 14.1 Maps Between Metric Spaces -- 15 Spaces of Continuous Functions -- 15.1 Spaces of Continuously Differentiable Functions -- 15.2 Spaces of Hölder and Lipschitz Continuous Functions -- 16 On the Structure of a Complete Metric Space -- 16.1 The Uniform Boundedness Principle -- 17 Compact and Totally Bounded Metric Spaces -- 17.1 Pre-Compact Subsets of X -- 1c Topological Spaces -- 1.12c Connected Spaces -- 1.19c Separation Properties of Topological Spaces.
4c Bases, Axioms of Countability and Product Topologies -- 4.10c The Box Topology -- 5c Compact Topological Spaces -- 5.8c The Alexandrov One-Point Compactification of {X -- mathcalU} ([3]) -- 7c Continuous Functions on Countably Compact Spaces -- 7.1c Upper-Lower Semi-continuous Functions -- 7.2c Characterizing Lower-Semi Continuous Functions in mathbbRN -- 7.3c On the Weierstrass-Baire Theorem -- 7.4c On the Assumptions of Dini's Theorem -- 9c Vector Spaces -- 9.3c Hamel Bases -- 9.6c On the Dimension of a Vector Space -- 10c Topological Vector Spaces -- 13c Metric Spaces -- 13.10c The Hausdorff Distance of Sets -- 13.11c Countable Products of Metric Spaces -- 14c Metric Vector Spaces -- 15c Spaces of Continuous Functions -- 15.1c Spaces of Hölder and Lipschitz Continuous Functions -- 16c On the Structure of a Complete Metric Space -- 16.3c Completion of a Metric Space -- 16.4c Some Consequences of the Baire Category Theorem -- 17c Compact and Totally Bounded Metric Spaces -- 17.1c An Application of the Lebesgue Number Lemma -- 3 Measuring Sets -- 1 Partitioning Open Subsets of mathbbRN -- 2 Limits of Sets, Characteristic Functions, and σ-Algebras -- 3 Measures -- 3.1 Finite, σ-Finite, and Complete Measures -- 3.2 Some Examples -- 4 Outer Measures and Sequential Coverings -- 4.1 The Lebesgue Outer Measure in mathbbRN -- 4.2 The Lebesgue--Stieltjes Outer Measure [89, 154] -- 5 The Hausdorff Outer Measure in mathbbRN [71] -- 5.1 Metric Outer Measures -- 6 Constructing Measures from Outer Measures [26] -- 7 The Lebesgue--Stieltjes Measure on mathbbR -- 7.1 Borel Measures -- 8 The Hausdorff Measure on mathbbRN -- 9 Extending Measures from Semi-algebras to σ-Algebras -- 9.1 On the Lebesgue--Stieltjes and Hausdorff Measures -- 10 Necessary and Sufficient Conditions for Measurability -- 11 More on Extensions from Semi-algebras to σ-Algebras. 12 The Lebesgue Measure of Sets in mathbbRN -- 12.1 A Necessary and Sufficient Condition of Measurability -- 13 Vitali's Nonmeasurable Set [168] -- 14 Borel Sets, Measurable Sets, and Incomplete Measures -- 14.1 A Continuous Increasing Function f:[0,1]to[0,1] -- 14.2 On the Preimage of a Measurable Set -- 14.3 Proof of Propositions 14.1 and 14.2 -- 15 Borel Measures -- 16 Borel, Regular, and Radon Measures -- 16.1 Regular Borel Measures -- 16.2 Radon Measures -- 17 Vitali Coverings -- 18 The Besicovitch Covering Theorem -- 19 Proof of Proposition 18.1 -- 20 The Besicovitch Measure-Theoretical Covering Theorem -- 1c Partitioning Open Subsets of mathbbRN -- 2c Limits of Sets, Characteristic Functions and σ-Algebras -- 3c Measures -- 3.1c Completion of a Measure Space -- 4c Outer Measures -- 5c The Hausdorff Outer Measure in mathbbRN -- 5.1c The Hausdorff Dimension of a Set EsubsetmathbbRN -- 5.2c The Hausdorff Dimension of the Cantor Set is ln 2/ln 3 -- 8c The Hausdorff Measure in mathbbRN -- 8.1c Hausdorff Outer Measure of the Lipschitz Image of a Set -- 8.2c Hausdorff Dimension of Graphs of Lipschitz Functions -- 9c Extending Measures from Semi-algebras to σ-Algebras -- 9.1c Inner and Outer Continuity of λ on Some Algebra mathcalQ -- 10c More on Extensions from Semi-algebras to σ-Algebras -- 10.1c Self-extensions of Measures -- 10.2c Nonunique Extensions of Measures λ on Semi-algebras -- 12c The Lebesgue Measure of Sets in mathbbRN -- 12.1c Inner Measure and Measurability -- 12.2c The Peano--Jordan Measure of Bounded Sets in mathbbRN -- 12.3c Lipschitz Functions and Measurability -- 13c Vitali's Nonmeasurable Set -- 14c Borel Sets, Measurable Sets and Incomplete Measures -- 16c Borel, Regular and Radon Measures -- 16.1c Regular Borel Measures -- 16.2c Regular Outer Measures -- 17c Vitali Coverings. 17.1c Pointwise and Measure-Theoretical Vitali Coverings -- 18c The Besicovitch Covering Theorem -- 18.1c The Besicovitch Theorem for Unbounded E -- 18.2c The Besicovitch Measure-Theoretical Inner Covering of Open Sets EsubsetmathbbRN -- 18.3c A Simpler Form of the Besicovitch Theorem -- 18.4c Another Besicovitch-Type Covering -- 4 The Lebesgue Integral -- 1 Measurable Functions -- 2 The Egorov--Severini Theorem [39, 145] -- 2.1 The Egorov--Severini Theorem in mathbbRN -- 3 Approximating Measurable Functions by Simple Functions -- 4 Convergence in Measure (Riesz [125], Fisher [46]) -- 5 Quasicontinuous Functions and Lusin's Theorem -- 6 Integral of Simple Functions ([87]) -- 7 The Lebesgue Integral of Nonnegative Functions -- 8 Fatou's Lemma and the Monotone Convergence Theorem -- 9 More on the Lebesgue Integral -- 10 Convergence Theorems -- 11 Absolute Continuity of the Integral -- 12 Product of Measures -- 13 On the Structure of (mathcalAtimesmathcalB) -- 14 The Theorem of Fubini--Tonelli -- 14.1 The Tonelli Version of the Fubini Theorem -- 15 Some Applications of the Fubini--Tonelli Theorem -- 15.1 Integrals in Terms of Distribution Functions -- 15.2 Convolution Integrals -- 15.3 The Marcinkiewicz Integral ([101, 102]) -- 16 Signed Measures and the Hahn Decomposition -- 17 The Radon-Nikodým Theorem -- 17.1 Sublevel Sets of a Measurable Function -- 17.2 Proof of the Radon-Nikodým Theorem -- 18 Decomposing Measures -- 18.1 The Jordan Decomposition -- 18.2 The Lebesgue Decomposition -- 18.3 A General Version of the Radon-Nikodým Theorem -- 1c Measurable Functions -- 1.1c Sublevel Sets -- 2c The Egorov--Severini Theorem -- 3c Approximating Measurable Functions by Simple Functions -- 4c Convergence in Measure -- 7c The Lebesgue Integral of Nonnegative Measurable Functions -- 7.1c Comparing the Lebesgue Integral with the Peano-Jordan Integral. 7.2c On the Definition of the Lebesgue Integral -- 9c More on the Lebesgue Integral -- 10c Convergence Theorems -- 10.1c Another Version of Dominated Convergence -- 11c Absolute Continuity of the Integral -- 12c Product of Measures -- 12.1c Product of a Finite Sequence of Measure Spaces -- 13c On the Structure of (mathcalAtimesmathcalB) -- 13.1c Sections and Their Measure -- 14c The Theorem of Fubini--Tonelli -- 15c Some Applications of the Fubini--Tonelli Theorem -- 15.1c Integral of a Function as the ``Area Under the Graph'' -- 15.2c Distribution Functions -- 17c The Radon-Nikodým Theorem -- 18c A Proof of the Radon-Nikodým Theorem When Both μ and ν Are σ-Finite -- 5 Topics on Measurable Functions of Real Variables -- 1 Functions of Bounded Variation ([78]) -- 2 Dini Derivatives ([37]) -- 3 Differentiating Functions of Bounded Variation -- 4 Differentiating Series of Monotone Functions -- 5 Absolutely Continuous Functions ([91, 169]) -- 6 Density of a Measurable Set -- 7 Derivatives of Integrals -- 8 Differentiating Radon Measures -- 9 Existence and Measurability of Dμν -- 9.1 Proof of Proposition 9.2 -- 10 Representing Dμν -- 10.1 Representing Dμν for νllμ -- 10.2 Representing Dμν for νperpμ -- 11 The Lebesgue-Besicovitch Differentiation Theorem -- 11.1 Points of Density -- 11.2 Lebesgue Points of an Integrable Function -- 12 Regular Families -- 13 Convex Functions -- 14 The Jensen's Inequality -- 15 Extending Continuous Functions -- 15.1 The Concave Modulus of Continuity of f -- 16 The Weierstrass Approximation Theorem -- 17 The Stone-Weierstrass Theorem -- 18 Proof of the Stone-Weierstrass Theorem -- 18.1 Proof of Stone's Theorem -- 19 The Ascoli-Arzelà Theorem -- 19.1 Pre-compact Subsets of C(barE) -- 1c Functions of Bounded Variations -- 1.1c The Function of The Jumps -- 1.2c The Space BV[a,b] -- 2c Dini Derivatives. 2.1c A Continuous, Nowhere Differentiable Function ([167]). |
| Record Nr. | UNINA-9910254087103321 |
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DiBenedetto Emmanuele
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| New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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