The elements of Cantor sets : with applications / / Robert W. Vallin
| The elements of Cantor sets : with applications / / Robert W. Vallin |
| Autore | Vallin Robert W |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , [2013] |
| Descrizione fisica | 1 online resource (248 p.) |
| Disciplina | 515.8 |
| Soggetto topico |
Cantor sets
Measure theory Mathematical analysis MATHEMATICS / Mathematical Analysis |
| ISBN |
1-118-40743-1
1-118-54874-4 1-118-54870-1 |
| Classificazione | MAT034000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; CONTENTS; Foreword; Preface; Acknowledgments; Introduction; 1 A Quick Biography of Cantor; 2 Basics; 2.1 Review; Exercises; 3 Introducing the Cantor Set; 3.1 Some Definitions and Basics; 3.2 Size of a Cantor Set; 3.2.1 Cardinality; 3.2.2 Category; 3.2.3 Measure; 3.3 Large and Small; Exercises; 4 Cantor Sets and Continued Fractions; 4.1 Introducing Continued Fractions; 4.2 Constructing a Cantor Set; 4.3 Diophantine Equations; 4.4 Miscellaneous; Exercises; 5 p-adic Numbers and Valuations; 5.1 Some Abstract Algebra; 5.2 p-adic Numbers
5.2.1 An Analysis Point of View5.2.2 An Algebra Point of View; 5.3 p-adic Integers and Cantor Sets; 5.4 p-adic Rational Numbers; Exercises; 6 Self-Similar Objects; 6.1 The Meaning of Self-Similar; 6.2 Metric Spaces; 6.3 Sequences in (S, d); 6.4 Affine Transformations; 6.5 An Application for an IFS; Exercises; 7 Various Notions of Dimension; 7.1 Limit Supremum and Limit Infimum; 7.2 Topological Dimension; 7.3 Similarity Dimension; 7.4 Box-Counting Dimension; 7.5 Hausdorff Measure and Dimension; 7.6 Miscellaneous Notions of Dimension; Exercises; 8 Porosity and Thickness-Looking at the Gaps 8.1 The Porosity of a Set8.2 Symmetric Sets and Symmetric Porosity; 8.3 A New and Different Definition of Cantor Set; 8.4 Thickness of a Cantor Set; 8.5 Applying Thickness; 8.6 A Bit More on Thickness; 8.7 Porosity in a Metric Space; Exercises; 9 Creating Pathological Functions via C; 9.1 Sequences of Functions; 9.2 The Cantor Function; 9.3 Space-Filling Curves; 9.4 Baire Class One Functions; 9.5 Darboux Functions; 9.6 Linearly Continuous Functions; Exercises; 10 Generalizations and Applications; 10.1 Generalizing Cantor Sets; 10.2 Fat Cantor Sets; 10.3 Sums of Cantor Sets 10.4 Differences of Cantor Sets10.5 Products of Cantor Sets; 10.6 Cantor Target; 10.7 Ana Sets; 10.8 Average Distance; 10.9 Non-Averaging Sets; 10.10 Cantor Series and Cantor Sets; 10.11 Liouville Numbers and Irrationality Exponents; 10.12 Sets of Sums of Convergent Alternating Series; 10.13 The Monty Hall Problem; 11 Epilogue; References; Index |
| Record Nr. | UNINA-9910139035303321 |
Vallin Robert W
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| Hoboken, New Jersey : , : Wiley, , [2013] | ||
| Lo trovi qui: Univ. Federico II | ||
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The elements of Cantor sets : with applications / / Robert W. Vallin
| The elements of Cantor sets : with applications / / Robert W. Vallin |
| Autore | Vallin Robert W |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , [2013] |
| Descrizione fisica | 1 online resource (248 p.) |
| Disciplina | 515.8 |
| Soggetto topico |
Cantor sets
Measure theory Mathematical analysis MATHEMATICS / Mathematical Analysis |
| ISBN |
1-118-40743-1
1-118-54874-4 1-118-54870-1 |
| Classificazione | MAT034000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; CONTENTS; Foreword; Preface; Acknowledgments; Introduction; 1 A Quick Biography of Cantor; 2 Basics; 2.1 Review; Exercises; 3 Introducing the Cantor Set; 3.1 Some Definitions and Basics; 3.2 Size of a Cantor Set; 3.2.1 Cardinality; 3.2.2 Category; 3.2.3 Measure; 3.3 Large and Small; Exercises; 4 Cantor Sets and Continued Fractions; 4.1 Introducing Continued Fractions; 4.2 Constructing a Cantor Set; 4.3 Diophantine Equations; 4.4 Miscellaneous; Exercises; 5 p-adic Numbers and Valuations; 5.1 Some Abstract Algebra; 5.2 p-adic Numbers
5.2.1 An Analysis Point of View5.2.2 An Algebra Point of View; 5.3 p-adic Integers and Cantor Sets; 5.4 p-adic Rational Numbers; Exercises; 6 Self-Similar Objects; 6.1 The Meaning of Self-Similar; 6.2 Metric Spaces; 6.3 Sequences in (S, d); 6.4 Affine Transformations; 6.5 An Application for an IFS; Exercises; 7 Various Notions of Dimension; 7.1 Limit Supremum and Limit Infimum; 7.2 Topological Dimension; 7.3 Similarity Dimension; 7.4 Box-Counting Dimension; 7.5 Hausdorff Measure and Dimension; 7.6 Miscellaneous Notions of Dimension; Exercises; 8 Porosity and Thickness-Looking at the Gaps 8.1 The Porosity of a Set8.2 Symmetric Sets and Symmetric Porosity; 8.3 A New and Different Definition of Cantor Set; 8.4 Thickness of a Cantor Set; 8.5 Applying Thickness; 8.6 A Bit More on Thickness; 8.7 Porosity in a Metric Space; Exercises; 9 Creating Pathological Functions via C; 9.1 Sequences of Functions; 9.2 The Cantor Function; 9.3 Space-Filling Curves; 9.4 Baire Class One Functions; 9.5 Darboux Functions; 9.6 Linearly Continuous Functions; Exercises; 10 Generalizations and Applications; 10.1 Generalizing Cantor Sets; 10.2 Fat Cantor Sets; 10.3 Sums of Cantor Sets 10.4 Differences of Cantor Sets10.5 Products of Cantor Sets; 10.6 Cantor Target; 10.7 Ana Sets; 10.8 Average Distance; 10.9 Non-Averaging Sets; 10.10 Cantor Series and Cantor Sets; 10.11 Liouville Numbers and Irrationality Exponents; 10.12 Sets of Sums of Convergent Alternating Series; 10.13 The Monty Hall Problem; 11 Epilogue; References; Index |
| Record Nr. | UNINA-9910808180303321 |
Vallin Robert W
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| Hoboken, New Jersey : , : Wiley, , [2013] | ||
| Lo trovi qui: Univ. Federico II | ||
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Evolutionary Equations : Picard's Theorem for Partial Differential Equations, and Applications / / by Christian Seifert, Sascha Trostorff, Marcus Waurick
| Evolutionary Equations : Picard's Theorem for Partial Differential Equations, and Applications / / by Christian Seifert, Sascha Trostorff, Marcus Waurick |
| Autore | Seifert Christian |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022 |
| Descrizione fisica | 1 online resource (321 pages) |
| Disciplina | 515.35 |
| Altri autori (Persone) |
TrostorffSascha <1984->
WaurickMarcus |
| Collana | Operator Theory: Advances and Applications |
| Soggetto topico |
Differential equations
Differential Equations |
| ISBN | 3-030-89397-9 |
| Classificazione | MAT034000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | - Introduction -- Unbounded Operators -- The Time Derivative -- Ordinary Differential Equations -- The Fourier-Laplace Transformation and Material Law Operators -- Solution Theory for Evolutionary Equations -- Examples of Evolutionary Equations -- Causality and a Theorem of Paley and Wiener -- Initial Value Problems and Extrapolation Spaces -- Differential Algebraic Equations -- Exponential Stability of Evolutionary Equations -- Boundary Value Problems and Boundary Value Spaces -- Continuous Dependence on the Coefficients I -- Continuous Dependence on the Coefficients II. |
| Record Nr. | UNINA-9910523759603321 |
Seifert Christian
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022 | ||
| Lo trovi qui: Univ. Federico II | ||
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Existenz- und Regularitätstheorie der zweidimensionalen Variationsrechnung mit Anwendungen auf das Plateausche Problem für Flächen vorgeschriebener mittlerer Krümmung / / von Andreas Künnemann
| Existenz- und Regularitätstheorie der zweidimensionalen Variationsrechnung mit Anwendungen auf das Plateausche Problem für Flächen vorgeschriebener mittlerer Krümmung / / von Andreas Künnemann |
| Autore | Künnemann Andreas |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | 2023 |
| Descrizione fisica | 1 online resource (255 pages) |
| Disciplina | 515 |
| Soggetto topico |
Mathematical analysis
Differential equations Analysis Differential Equations |
| ISBN | 3-658-41641-6 |
| Classificazione | MAT034000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ger |
| Nota di contenuto | Einleitung -- Grundlagen -- Direkte Methoden der Variationsrechnung -- Regularitätstheorie zur Stetigkeit von Minimierern -- Höhere Regularität von Minimierern im Inneren -- Minimierer vom Poissonschen Typ -- Literaturverzeichnis. |
| Record Nr. | UNINA-9910735588403321 |
Künnemann Andreas
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| 2023 | ||
| Lo trovi qui: Univ. Federico II | ||
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From Measures to Itô Integrals / / Ekkehard Kopp [[electronic resource]]
| From Measures to Itô Integrals / / Ekkehard Kopp [[electronic resource]] |
| Autore | Kopp P. E. <1944-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2011 |
| Descrizione fisica | 1 online resource (vii, 120 pages) : digital, PDF file(s) |
| Disciplina | 515/.42 |
| Collana | AIMS library series |
| Soggetto topico | Measure theory |
| ISBN |
1-107-22245-1
1-139-07659-0 9786613111180 1-139-07087-8 1-139-08114-4 1-139-08341-4 1-139-07887-9 1-283-11118-7 0-511-81311-2 |
| Classificazione | MAT034000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Probability and measure -- Measures and distribution functions -- Measurable functions/random variables -- Integration and expectation -- Lp-spaces and conditional expectation -- Discrete-time martingales -- Brownian motion -- Stochastic integrals. |
| Record Nr. | UNINA-9910791903003321 |
Kopp P. E. <1944->
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| Cambridge : , : Cambridge University Press, , 2011 | ||
| Lo trovi qui: Univ. Federico II | ||
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From Measures to Itô Integrals / / Ekkehard Kopp [[electronic resource]]
| From Measures to Itô Integrals / / Ekkehard Kopp [[electronic resource]] |
| Autore | Kopp P. E. <1944-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2011 |
| Descrizione fisica | 1 online resource (vii, 120 pages) : digital, PDF file(s) |
| Disciplina | 515/.42 |
| Collana | AIMS library series |
| Soggetto topico | Measure theory |
| ISBN |
1-107-22245-1
1-139-07659-0 9786613111180 1-139-07087-8 1-139-08114-4 1-139-08341-4 1-139-07887-9 1-283-11118-7 0-511-81311-2 |
| Classificazione | MAT034000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Probability and measure -- Measures and distribution functions -- Measurable functions/random variables -- Integration and expectation -- Lp-spaces and conditional expectation -- Discrete-time martingales -- Brownian motion -- Stochastic integrals. |
| Record Nr. | UNINA-9910826084403321 |
Kopp P. E. <1944->
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| Cambridge : , : Cambridge University Press, , 2011 | ||
| Lo trovi qui: Univ. Federico II | ||
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A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions / / by Jean-Luc Marichal, Naïm Zenaïdi
| A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions / / by Jean-Luc Marichal, Naïm Zenaïdi |
| Autore | Marichal Jean-Luc |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (xviii, 323 pages) |
| Disciplina | 515.5 |
| Altri autori (Persone) | ZenaïdiNaïm |
| Collana | Developments in Mathematics |
| Soggetto topico |
Functions, Special
Difference equations Functional equations Special Functions Difference and Functional Equations |
| ISBN | 3-030-95088-3 |
| Classificazione | MAT034000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- List of main symbols -- Table of contents -- Chapter 1. Introduction -- Chapter 2. Preliminaries -- Chapter 3. Uniqueness and existence results -- Chapter 4. Interpretations of the asymptotic conditions -- Chapter 5. Multiple log-gamma type functions -- Chapter 6. Asymptotic analysis -- Chapter 7. Derivatives of multiple log-gamma type functions -- Chapter 8. Further results -- Chapter 9. Summary of the main results -- Chapter 10. Applications to some standard special functions -- Chapter 11. Definining new log-gamma type functions -- Chapter 12. Further examples -- Chapter 13. Conclusion -- A. Higher order convexity properties -- B. On Krull-Webster's asymptotic condition -- C. On a question raised by Webster -- D. Asymptotic behaviors and bracketing -- E. Generalized Webster's inequality -- F. On the differentiability of \sigma_g -- Bibliography -- Analogues of properties of the gamma function -- Index. |
| Record Nr. | UNINA-9910583594703321 |
Marichal Jean-Luc
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Lo trovi qui: Univ. Federico II | ||
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Greedy approximation / / Vladimir Temlyakov [[electronic resource]]
| Greedy approximation / / Vladimir Temlyakov [[electronic resource]] |
| Autore | Temlyakov Vladimir <1953-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2011 |
| Descrizione fisica | 1 online resource (xiv, 418 pages) : digital, PDF file(s) |
| Disciplina | 518/.5 |
| Collana | Cambridge monographs on applied and computational mathematics |
| Soggetto topico |
Approximation theory
Compressed sensing (Telecommunication) |
| ISBN |
1-107-22690-2
1-283-34243-X 1-139-16037-0 9786613342430 0-511-76229-1 1-139-16137-7 1-139-15580-6 1-139-15932-1 1-139-15755-8 |
| Classificazione | MAT034000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Greedy approximation with respect to bases -- 2. Greedy approximation with respect to dictionaries: Hilbert spaces -- 3. Entropy -- 4. Approximation in learning theory -- 5. Approximation in compressed sensing -- 6. Greedy approximation with respect to dictionaries: Banach spaces. |
| Record Nr. | UNINA-9910781574003321 |
Temlyakov Vladimir <1953->
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| Cambridge : , : Cambridge University Press, , 2011 | ||
| Lo trovi qui: Univ. Federico II | ||
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Greedy approximation / / Vladimir Temlyakov [[electronic resource]]
| Greedy approximation / / Vladimir Temlyakov [[electronic resource]] |
| Autore | Temlyakov Vladimir <1953-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2011 |
| Descrizione fisica | 1 online resource (xiv, 418 pages) : digital, PDF file(s) |
| Disciplina | 518/.5 |
| Collana | Cambridge monographs on applied and computational mathematics |
| Soggetto topico |
Approximation theory
Compressed sensing (Telecommunication) |
| ISBN |
1-107-22690-2
1-283-34243-X 1-139-16037-0 9786613342430 0-511-76229-1 1-139-16137-7 1-139-15580-6 1-139-15932-1 1-139-15755-8 |
| Classificazione | MAT034000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Greedy approximation with respect to bases -- 2. Greedy approximation with respect to dictionaries: Hilbert spaces -- 3. Entropy -- 4. Approximation in learning theory -- 5. Approximation in compressed sensing -- 6. Greedy approximation with respect to dictionaries: Banach spaces. |
| Record Nr. | UNINA-9910827212903321 |
Temlyakov Vladimir <1953->
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| Cambridge : , : Cambridge University Press, , 2011 | ||
| Lo trovi qui: Univ. Federico II | ||
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Induced representations of locally compact groups / / Eberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia [[electronic resource]]
| Induced representations of locally compact groups / / Eberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia [[electronic resource]] |
| Autore | Kaniuth Eberhard |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (xiii, 343 pages) : digital, PDF file(s) |
| Disciplina | 512/.25 |
| Collana | Cambridge tracts in mathematics |
| Soggetto topico |
Locally compact groups
Topological spaces Representations of groups |
| ISBN |
1-107-23320-8
1-139-04539-3 1-139-85355-4 1-139-84559-4 1-139-84446-6 1-139-83972-1 1-139-84210-2 1-283-74656-5 1-139-84091-6 |
| Classificazione | MAT034000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Basics -- Induced representations -- The imprimitivity theorem -- Mackey analysis -- Topologies on dual spaces -- Topological Frobenius properties -- Further applications. |
| Record Nr. | UNINA-9910779344003321 |
Kaniuth Eberhard
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| Cambridge : , : Cambridge University Press, , 2013 | ||
| Lo trovi qui: Univ. Federico II | ||
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