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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-9910139035303321 |
Vallin Robert W
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| Hoboken, New Jersey : , : Wiley, , [2013] | ||
| Materiale a stampa | ||
| 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 |
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Vallin Robert W
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| Hoboken, New Jersey : , : Wiley, , [2013] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Evolutionary equations : Picard's theorem for partial differential equations, and applications / / Christian Seifert, Sascha Trostorff, Marcus Waurick
| Evolutionary equations : Picard's theorem for partial differential equations, and applications / / Christian Seifert, Sascha Trostorff, Marcus Waurick |
| Autore | Seifert Christian |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cham, : Springer Nature, 2022 |
| Descrizione fisica | 1 online resource (321 pages) |
| Altri autori (Persone) |
TrostorffSascha <1984->
WaurickMarcus |
| Collana | Operator theory, advances and applications |
| Soggetto topico |
Differential equations
Equacions d'evolució Equacions en derivades parcials |
| Soggetto genere / forma | Llibres electrònics |
| 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 |
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Seifert Christian
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| Cham, : Springer Nature, 2022 | ||
| Materiale a stampa | ||
| 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 |
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Künnemann Andreas
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| 2023 | ||
| Materiale a stampa | ||
| 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 |
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Kopp P. E. <1944->
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| Cambridge : , : Cambridge University Press, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
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Kopp P. E. <1944->
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| Cambridge : , : Cambridge University Press, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A generalization of Bohr-Mollerup's theorem for higher order convex functions / / Jean-Luc Marichal, Naïm Zenaïdi
| A generalization of Bohr-Mollerup's theorem for higher order convex functions / / Jean-Luc Marichal, Naïm Zenaïdi |
| Autore | Marichal Jean-Luc |
| Pubbl/distr/stampa | Cham, : Springer Nature, 2022 |
| Descrizione fisica | 1 online resource (xviii, 323 pages) |
| Altri autori (Persone) | ZenaïdiNaïm |
| Collana | Developments in mathematics |
| Soggetto topico |
Convex functions
Gamma functions Funcions convexes Funcions gamma |
| Soggetto genere / forma | Llibres electrònics |
| 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. Defining 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 |
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Marichal Jean-Luc
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| Cham, : Springer Nature, 2022 | ||
| Materiale a stampa | ||
| 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 |
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Temlyakov Vladimir <1953->
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| Cambridge : , : Cambridge University Press, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
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Temlyakov Vladimir <1953->
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| Cambridge : , : Cambridge University Press, , 2011 | ||
| Materiale a stampa | ||
| 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 |
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Kaniuth Eberhard
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| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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