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Lectures on Functional Analysis and the Lebesgue Integral [[electronic resource] /] / by Vilmos Komornik
| Lectures on Functional Analysis and the Lebesgue Integral [[electronic resource] /] / by Vilmos Komornik |
| Autore | Komornik Vilmos |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | London : , : Springer London : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (XX, 403 p. 46 illus.) |
| Disciplina | 515.7 |
| Collana | Universitext |
| Soggetto topico |
Functional analysis
Measure theory Approximation theory Functional Analysis Measure and Integration Approximations and Expansions |
| ISBN | 1-4471-6811-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Some papers of general interest -- Topological prerequisites -- Part 1 Functional analysis -- Hilbert spaces -- Banach spaces -- Locally convex spaces -- Part 2 The Lebesgue integral -- Monotone functions.- The Lebesgue integral in R -- Generalized Newton-Leibniz formula -- Integrals on measure spaces -- Part 3 Function spaces.- Spaces of continuous functions -- Spaces of integrable functions -- Almost everywhere convergence -- Hints and solutions to some exercises.- Bibliography -- Teaching remarks -- Subject index -- Name index. |
| Record Nr. | UNINA-9910254096003321 |
Komornik Vilmos
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| London : , : Springer London : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematical Theory of Feynman Path Integrals [[electronic resource] ] : An Introduction / / by Sergio Albeverio, Rafael Høegh-Krohn, Sonia Mazzucchi
| Mathematical Theory of Feynman Path Integrals [[electronic resource] ] : An Introduction / / by Sergio Albeverio, Rafael Høegh-Krohn, Sonia Mazzucchi |
| Autore | Albeverio Sergio |
| Edizione | [2nd ed. 2008.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008 |
| Descrizione fisica | 1 online resource (X, 182 p.) |
| Disciplina | 515.43 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Integral equations
Measure theory Functional analysis Operator theory Probabilities Global analysis (Mathematics) Manifolds (Mathematics) Integral Equations Measure and Integration Functional Analysis Operator Theory Probability Theory and Stochastic Processes Global Analysis and Analysis on Manifolds |
| ISBN | 3-540-76956-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface to the second edition -- Preface to the first edition -- 1.Introduction -- 2.The Fresnel Integral of Functions on a Separable Real Hilbert Spa -- 3.The Feynman Path Integral in Potential Scattering -- 4.The Fresnel Integral Relative to a Non-singular Quadratic Form -- 5.Feynman Path Integrals for the Anharmonic Oscillator -- 6.Expectations with Respect to the Ground State of the Harmonic Oscillator -- 7.Expectations with Respect to the Gibbs State of the Harmonic Oscillator -- 8.The Invariant Quasi-free States -- 9.The Feynman Hystory Integral for the Relativistic Quantum Boson Field -- 10.Some Recent Developments -- 10.1.The infinite dimensional oscillatory integral -- 10.2.Feynman path integrals for polynomially growing potentials -- 10.3.The semiclassical expansio -- 10.4.Alternative approaches to Feynman path integrals -- 10.4.1.Analytic continuation -- 10.4.2.White noise calculus -- 10.5.Recent applications -- 10.5.1.The Schroedinger equation with magnetic fields -- 10.5.2.The Schroedinger equation with time dependent potentials -- 10.5.3 .hase space Feynman path integrals -- 10.5.4.The stochastic Schroedinger equation -- 10.5.5.The Chern-Simons functional integral -- References of the first edition -- References of the second edition -- Analytic index -- List of Notations. |
| Record Nr. | UNISA-996466498603316 |
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Albeverio Sergio
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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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Mathematical Theory of Feynman Path Integrals [[electronic resource] ] : An Introduction / / by Sergio Albeverio, Rafael Høegh-Krohn, Sonia Mazzucchi
| Mathematical Theory of Feynman Path Integrals [[electronic resource] ] : An Introduction / / by Sergio Albeverio, Rafael Høegh-Krohn, Sonia Mazzucchi |
| Autore | Albeverio Sergio |
| Edizione | [2nd ed. 2008.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008 |
| Descrizione fisica | 1 online resource (X, 182 p.) |
| Disciplina | 515.43 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Integral equations
Measure theory Functional analysis Operator theory Probabilities Global analysis (Mathematics) Manifolds (Mathematics) Integral Equations Measure and Integration Functional Analysis Operator Theory Probability Theory and Stochastic Processes Global Analysis and Analysis on Manifolds |
| ISBN | 3-540-76956-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface to the second edition -- Preface to the first edition -- 1.Introduction -- 2.The Fresnel Integral of Functions on a Separable Real Hilbert Spa -- 3.The Feynman Path Integral in Potential Scattering -- 4.The Fresnel Integral Relative to a Non-singular Quadratic Form -- 5.Feynman Path Integrals for the Anharmonic Oscillator -- 6.Expectations with Respect to the Ground State of the Harmonic Oscillator -- 7.Expectations with Respect to the Gibbs State of the Harmonic Oscillator -- 8.The Invariant Quasi-free States -- 9.The Feynman Hystory Integral for the Relativistic Quantum Boson Field -- 10.Some Recent Developments -- 10.1.The infinite dimensional oscillatory integral -- 10.2.Feynman path integrals for polynomially growing potentials -- 10.3.The semiclassical expansio -- 10.4.Alternative approaches to Feynman path integrals -- 10.4.1.Analytic continuation -- 10.4.2.White noise calculus -- 10.5.Recent applications -- 10.5.1.The Schroedinger equation with magnetic fields -- 10.5.2.The Schroedinger equation with time dependent potentials -- 10.5.3 .hase space Feynman path integrals -- 10.5.4.The stochastic Schroedinger equation -- 10.5.5.The Chern-Simons functional integral -- References of the first edition -- References of the second edition -- Analytic index -- List of Notations. |
| Record Nr. | UNINA-9910484526903321 |
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Albeverio Sergio
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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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Measure and Integration [[electronic resource] /] / by S. Kesavan
| Measure and Integration [[electronic resource] /] / by S. Kesavan |
| Autore | Kesavan S |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (253 pages) |
| Disciplina | 515.42 |
| Collana | Texts and Readings in Mathematics |
| Soggetto topico |
Measure theory
Functional analysis Measure and Integration Functional Analysis |
| ISBN | 981-13-6678-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. Measure -- Chapter 2. The Lebesgue measure -- Chapter 3. Measurable functions -- Chapter 4. Convergence -- Chapter 5. Integration -- Chapter 6. Differentiation -- Chapter 7. Change of variable -- Chapter 8. Product spaces -- Chapter 9. Signed measures -- Chapter 10. Lp spaces. |
| Record Nr. | UNINA-9910350248103321 |
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Kesavan S
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| Singapore : , : Springer Singapore : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Measure and Integration [[electronic resource] /] / by Satish Shirali, Harkrishan Lal Vasudeva
| Measure and Integration [[electronic resource] /] / by Satish Shirali, Harkrishan Lal Vasudeva |
| Autore | Shirali Satish |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (XII, 598 p.) |
| Disciplina | 515.43 |
| Collana | Springer Undergraduate Mathematics Series |
| Soggetto topico |
Measure theory
Functions of real variables Fourier analysis Functional analysis Measure and Integration Real Functions Fourier Analysis Functional Analysis |
| ISBN | 3-030-18747-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Preliminaries -- 2 Measure in Euclidean Space -- 3 Measure Spaces and Integration -- 4 Fourier Series -- 5 Differentiation -- 6 Lebesgue Spaces and Modes of Convergence -- 7 Product Measure and Completion -- 8 Hints -- References -- Index. |
| Record Nr. | UNINA-9910349334503321 |
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Shirali Satish
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Measure-Theoretic Calculus in Abstract Spaces [[electronic resource] ] : On the Playground of Infinite-Dimensional Spaces / / by Zigang Pan
| Measure-Theoretic Calculus in Abstract Spaces [[electronic resource] ] : On the Playground of Infinite-Dimensional Spaces / / by Zigang Pan |
| Autore | Pan Zigang |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 |
| Descrizione fisica | 1 online resource (951 pages) |
| Disciplina | 515.42 |
| Soggetto topico |
Measure theory
Control engineering Functional analysis Measure and Integration Control and Systems Theory Functional Analysis |
| ISBN | 3-031-21912-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- List of Figures -- Notations -- 1 Introduction -- 1.1 The Tour of the Book -- 1.2 How to Use the Book -- 1.3 What This Book Does Not Include -- 2 Set Theory -- 2.1 Axiomatic Foundations of Set Theory -- 2.2 Relations and Equivalence -- 2.3 Function -- 2.4 Set Operations -- 2.5 Algebra of Sets -- 2.6 Partial Ordering and Total Ordering -- 2.7 Basic Principles -- 3 Topological Spaces -- 3.1 Fundamental Notions -- 3.2 Continuity -- 3.3 Basis and Countability -- 3.4 Products of Topological Spaces -- 3.5 The Separation Axioms -- 3.6 Category Theory -- 3.7 Connectedness -- 3.8 Continuous Real-Valued Functions -- 3.9 Nets and Convergence -- 4 Metric Spaces -- 4.1 Fundamental Notions -- 4.2 Convergence and Completeness -- 4.3 Uniform Continuity and Uniformity -- 4.4 Product Metric Spaces -- 4.5 Subspaces -- 4.6 Baire Category -- 4.7 Completion of Metric Spaces -- 4.8 Metrization of Topological Spaces -- 4.9 Interchange Limits -- 5 Compact and Locally Compact Spaces -- 5.1 Compact Spaces -- 5.2 Countable and Sequential Compactness -- 5.3 Real-Valued Functions and Compactness -- 5.4 Compactness in Metric Spaces -- 5.5 The Ascoli-Arzelá Theorem -- 5.6 Product Spaces -- 5.7 Locally Compact Spaces -- 5.7.1 Fundamental Notion -- 5.7.2 Partition of Unity -- 5.7.3 The Alexandroff One-point Compactification -- 5.7.4 Proper Functions -- 5.8 σ-Compact Spaces -- 5.9 Paracompact Spaces -- 5.10 The Stone-Čech Compactification -- 6 Vector Spaces -- 6.1 Group -- 6.2 Ring -- 6.3 Field -- 6.4 Vector Spaces -- 6.5 Product Spaces -- 6.6 Subspaces -- 6.7 Convex Sets -- 6.8 Linear Independence and Dimensions -- 7 Banach Spaces -- 7.1 Normed Linear Spaces -- 7.2 The Natural Metric -- 7.3 Product Spaces -- 7.4 Banach Spaces -- 7.5 Compactness -- 7.6 Quotient Spaces -- 7.7 The Stone-Weierstrass Theorem -- 7.8 Linear Operators -- 7.9 Dual Spaces.
7.9.1 Basic Concepts -- 7.9.2 Duals of Some Common Banach Spaces -- 7.9.3 Extension Form of Hahn-Banach Theorem -- 7.9.4 Second Dual Space -- 7.9.5 Alignment and Orthogonal Complements -- 7.10 The Open Mapping Theorem -- 7.11 The Adjoints of Linear Operators -- 7.12 Weak Topology -- 8 Global Theory of Optimization -- 8.1 Hyperplanes and Convex Sets -- 8.2 Geometric Form of Hahn-Banach Theorem -- 8.3 Duality in Minimum Norm Problems -- 8.4 Convex and Concave Functionals -- 8.5 Conjugate Convex Functionals -- 8.6 Fenchel Duality Theorem -- 8.7 Positive Cones and Convex Mappings -- 8.8 Lagrange Multipliers -- 9 Differentiation in Banach Spaces -- 9.1 Fundamental Notion -- 9.2 The Derivatives of Some Common Functions -- 9.3 Chain Rule and Mean Value Theorem -- 9.4 Higher Order Derivatives -- 9.4.1 Basic Concept -- 9.4.2 Interchange Order of Differentiation -- 9.4.3 High Order Derivatives of Some Common Functions -- 9.4.4 Properties of High Order Derivatives -- 9.5 Mapping Theorems -- 9.6 Global Inverse Function Theorem -- 9.7 Interchange Differentiation and Limit -- 9.8 Tensor Algebra -- 9.9 Analytic Functions -- 9.10 Newton's Method -- 10 Local Theory of Optimization -- 10.1 Basic Notion -- 10.2 Unconstrained Optimization -- 10.3 Optimization with Equality Constraints -- 10.4 Inequality Constraints -- 11 General Measure and Integration -- 11.1 Measure Spaces -- 11.2 Outer Measure and the Extension Theorem -- 11.3 Measurable Functions -- 11.4 Integration -- 11.5 General Convergence Theorems -- 11.6 Banach Space Valued Measures -- 11.7 Calculation with Measures -- 11.8 The Radon-Nikodym Theorem -- 11.9 Lp Spaces -- 11.10 Dual of C(X,Y) and Cc(X,Y) -- 12 Differentiation and Integration -- 12.1 Carathéodory Extension Theorem -- 12.2 Change of Variable -- 12.3 Product Measure -- 12.4 Functions of Bounded Variation -- 12.5 Absolute and Lipschitz Continuity. 12.6 Fundamental Theorem of Calculus -- 12.7 Representation of (Ck(Ω,Y))* -- 12.8 Sobolev Spaces -- 12.9 Integral Depending on a Parameter -- 12.10 Iterated Integrals -- 12.11 Manifold -- 12.11.1 Basic Notion -- 12.11.2 Tangent Vectors -- 12.11.3 Vector Fields -- 13 Hilbert Spaces -- 13.1 Fundamental Notions -- 13.2 Projection Theorems -- 13.3 Dual of Hilbert Spaces -- 13.4 Hermitian Adjoints -- 13.5 Approximation in Hilbert Spaces -- 13.6 Other Minimum Norm Problems -- 13.7 Positive Definite Operators on Hilbert Spaces -- 13.8 Pseudoinverse Operator -- 13.9 Spectral Theory of Linear Operators -- 14 Probability Theory -- 14.1 Fundamental Notions -- 14.2 Gaussian Random Variables and Vectors -- 14.3 Law of Large Numbers -- 14.4 Martingales Indexed by Z+ -- 14.5 Banach Space Valued Martingales Indexed by Z+ -- 14.6 Characteristic Functions -- 14.7 Convergence in Distribution -- 14.8 Central Limit Theorem -- 14.9 Uniform Integrability and Martingales -- 14.10 Existence of the Wiener Process -- 14.11 Martingales with General Index Set -- 14.12 Stochastic Integral -- 14.13 Itô Processes -- 14.14 Girsanov's Theorem -- A Elements in Calculus -- A.1 Some Formulas -- A.2 Convergence of Infinite Sequences -- A.3 Riemann-Stieltjes Integral -- Bibliography -- Index. |
| Record Nr. | UNINA-9910805575503321 |
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Pan Zigang
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Modern Real Analysis [[electronic resource] /] / by William P. Ziemer
| Modern Real Analysis [[electronic resource] /] / by William P. Ziemer |
| Autore | Ziemer William P |
| Edizione | [2nd ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XI, 382 p.) |
| Disciplina | 515 |
| Collana | Graduate Texts in Mathematics |
| Soggetto topico |
Functions of real variables
Functional analysis Measure theory Real Functions Functional Analysis Measure and Integration |
| ISBN | 3-319-64629-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- 1. Preliminaries -- 2. Real, Cardinal and Ordinal Numbers -- 3. Elements of Topology -- 4. Measure Theory -- 5. Measurable Functions -- 6. Integration -- 7. Differentiation -- 8. Elements of Functional Analysis -- 9. Measures and Linear Functionals -- 10. Distributions -- 11. Functions of Several Variables -- Bibliography -- Index. |
| Record Nr. | UNINA-9910254296203321 |
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Ziemer William P
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Nonstandard Analysis for the Working Mathematician [[electronic resource] /] / edited by Peter A. Loeb, Manfred P. H. Wolff
| Nonstandard Analysis for the Working Mathematician [[electronic resource] /] / edited by Peter A. Loeb, Manfred P. H. Wolff |
| Edizione | [2nd ed. 2015.] |
| Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (485 p.) |
| Disciplina | 510 |
| Soggetto topico |
Functional analysis
Measure theory Operator theory Game theory Mathematical logic Number theory Functional Analysis Measure and Integration Operator Theory Game Theory, Economics, Social and Behav. Sciences Mathematical Logic and Foundations Number Theory |
| ISBN | 94-017-7327-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Simple Nonstandard Analysis and Applications -- An Introduction to General Nonstandard Analysis -- Topology and Measure Theory -- Banach Spaces and Linear Operators -- General and End Compactifications -- Measure theory and integration -- Stochastic Analysis -- New Understanding of Stochastic Independence -- Nonstandard Analysis in Mathematical Economics -- Density Problems and Freiman's Inverse Problem -- Hypernatural numbers as ultrafilters. |
| Record Nr. | UNINA-9910299767903321 |
| Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Open Conformal Systems and Perturbations of Transfer Operators [[electronic resource] /] / by Mark Pollicott, Mariusz Urbański
| Open Conformal Systems and Perturbations of Transfer Operators [[electronic resource] /] / by Mark Pollicott, Mariusz Urbański |
| Autore | Pollicott Mark |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XII, 204 p.) |
| Disciplina | 516.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Dynamics
Ergodic theory Functional analysis Functions of complex variables Operator theory Measure theory Dynamical Systems and Ergodic Theory Functional Analysis Functions of a Complex Variable Operator Theory Measure and Integration |
| ISBN | 3-319-72179-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Singular Perturbations of Classical Original Perron–Frobenius Operators on Countable Alphabet Symbol Spaces -- 3. Symbol Escape Rates and the Survivor Set K(Un) -- 4. Escape Rates for Conformal GDMSs and IFSs -- 5. Applications: Escape Rates for Multimodal Maps and One-Dimensional Complex Dynamics. |
| Record Nr. | UNINA-9910279755803321 |
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Pollicott Mark
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Open Conformal Systems and Perturbations of Transfer Operators [[electronic resource] /] / by Mark Pollicott, Mariusz Urbański
| Open Conformal Systems and Perturbations of Transfer Operators [[electronic resource] /] / by Mark Pollicott, Mariusz Urbański |
| Autore | Pollicott Mark |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XII, 204 p.) |
| Disciplina | 516.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Dynamics
Ergodic theory Functional analysis Functions of complex variables Operator theory Measure theory Dynamical Systems and Ergodic Theory Functional Analysis Functions of a Complex Variable Operator Theory Measure and Integration |
| ISBN | 3-319-72179-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Singular Perturbations of Classical Original Perron–Frobenius Operators on Countable Alphabet Symbol Spaces -- 3. Symbol Escape Rates and the Survivor Set K(Un) -- 4. Escape Rates for Conformal GDMSs and IFSs -- 5. Applications: Escape Rates for Multimodal Maps and One-Dimensional Complex Dynamics. |
| Record Nr. | UNISA-996466543003316 |
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Pollicott Mark
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Soggetto topico
- Functional Analysis (60)
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Functional analysis
(60)
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Measure and Integration
(60)
- Measure theory (60)
- Operator Theory (15)