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Finite elements III : first-order and time-dependent PDEs / / Alexandre Ern, Jean-Luc Guermond
| Finite elements III : first-order and time-dependent PDEs / / Alexandre Ern, Jean-Luc Guermond |
| Autore | Ern Alexandre <1967-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (417 pages) |
| Disciplina | 515 |
| Collana | Texts in Applied Mathematics |
| Soggetto topico |
Calculus
Functional analysis Functions Harmonic analysis Mathematical analysis Mètode dels elements finits Equacions en derivades parcials |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-57348-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Contents -- Part XII First-order PDEs -- 56 Friedrichs' systems -- 56.1 Basic ideas -- 56.1.1 The fields mathcalK and mathcalAk -- 56.1.2 Integration by parts -- 56.1.3 The model problem -- 56.2 Examples -- 56.2.1 Advection-reaction equation -- 56.2.2 Darcy's equations -- 56.2.3 Maxwell's equations -- 56.3 Weak formulation and well-posedness -- 56.3.1 Minimal domain, maximal domain, and graph space -- 56.3.2 The boundary operators N and M -- 56.3.3 Well-posedness -- 56.3.4 Examples -- 57 Residual-based stabilization -- 57.1 Model problem -- 57.2 Least-squares (LS) approximation -- 57.2.1 Weak problem -- 57.2.2 Finite element setting -- 57.2.3 Error analysis -- 57.3 Galerkin/least-squares (GaLS) -- 57.3.1 Local mesh-dependent weights -- 57.3.2 Discrete problem and error analysis -- 57.3.3 Scaling -- 57.3.4 Examples -- 57.4 Boundary penalty for Friedrichs' systems -- 57.4.1 Model problem -- 57.4.2 Boundary penalty method -- 57.4.3 GaLS stabilization with boundary penalty -- 58 Fluctuation-based stabilization (I) -- 58.1 Discrete setting -- 58.2 Stability analysis -- 58.3 Continuous interior penalty -- 58.3.1 Design of the CIP stabilization -- 58.3.2 Error analysis -- 58.4 Examples -- 59 Fluctuation-based stabilization (II) -- 59.1 Two-scale decomposition -- 59.2 Local projection stabilization -- 59.3 Subgrid viscosity -- 59.4 Error analysis -- 59.5 Examples -- 60 Discontinuous Galerkin -- 60.1 Discrete setting -- 60.2 Centered fluxes -- 60.2.1 Local and global formulation -- 60.2.2 Error analysis -- 60.2.3 Examples -- 60.3 Tightened stability by jump penalty -- 60.3.1 Local and global formulation -- 60.3.2 Error analysis -- 60.3.3 Examples -- 61 Advection-diffusion -- 61.1 Model problem -- 61.2 Discrete setting -- 61.3 Stability and error analysis -- 61.3.1 Stability and well-posedness -- 61.3.2 Consistency/boundedness.
61.3.3 Error estimates -- 61.4 Divergence-free advection -- 62 Stokes equations: Residual-based stabilization -- 62.1 Model problem -- 62.2 Discrete setting for GaLS stabilization -- 62.3 Stability and well-posedness -- 62.4 Error analysis -- 63 Stokes equations: Other stabilizations -- 63.1 Continuous interior penalty -- 63.1.1 Discrete setting -- 63.1.2 Stability and well-posedness -- 63.1.3 Error analysis -- 63.2 Discontinuous Galerkin -- 63.2.1 Discrete setting -- 63.2.2 Stability and well-posedness -- 63.2.3 Error analysis -- Part XIII Parabolic PDEs -- 64 Bochner integration -- 64.1 Bochner integral -- 64.1.1 Strong measurability and Bochner integrability -- 64.1.2 Main properties -- 64.2 Weak time derivative -- 64.2.1 Strong and weak time derivatives -- 64.2.2 Functional spaces with weak time derivative -- 65 Weak formulation and well-posedness -- 65.1 Weak formulation -- 65.1.1 Heuristic argument for the heat equation -- 65.1.2 Abstract parabolic problem -- 65.1.3 Weak formulation -- 65.1.4 Example: the heat equation -- 65.1.5 Ultraweak formulation -- 65.2 Well-posedness -- 65.2.1 Uniqueness using a coercivity-like argument -- 65.2.2 Existence using a constructive argument -- 65.3 Maximum principle for the heat equation -- 66 Semi-discretization in space -- 66.1 Model problem -- 66.2 Principle and algebraic realization -- 66.3 Error analysis -- 66.3.1 Error equation -- 66.3.2 Basic error estimates -- 66.3.3 Application to the heat equation -- 66.3.4 Extension to time-varying diffusion -- 67 Implicit and explicit Euler schemes -- 67.1 Implicit Euler scheme -- 67.1.1 Time mesh -- 67.1.2 Principle and algebraic realization -- 67.1.3 Stability -- 67.1.4 Error analysis -- 67.1.5 Application to the heat equation -- 67.2 Explicit Euler scheme -- 67.2.1 Principle and algebraic realization -- 67.2.2 Stability -- 67.2.3 Error analysis. 68 BDF2 and Crank-Nicolson schemes -- 68.1 Discrete setting -- 68.2 BDF2 scheme -- 68.2.1 Principle and algebraic realization -- 68.2.2 Stability -- 68.2.3 Error analysis -- 68.3 Crank-Nicolson scheme -- 68.3.1 Principle and algebraic realization -- 68.3.2 Stability -- 68.3.3 Error analysis -- 69 Discontinuous Galerkin in time -- 69.1 Setting for the time discretization -- 69.2 Formulation of the method -- 69.2.1 Quadratures and interpolation -- 69.2.2 Discretization in time -- 69.2.3 Reformulation using a time reconstruction operator -- 69.2.4 Equivalence with Radau IIA IRK -- 69.3 Stability and error analysis -- 69.3.1 Stability -- 69.3.2 Error analysis -- 69.4 Algebraic realization -- 69.4.1 IRK implementation -- 69.4.2 General case -- 70 Continuous Petrov-Galerkin in time -- 70.1 Formulation of the method -- 70.1.1 Quadratures and interpolation -- 70.1.2 Discretization in time -- 70.1.3 Equivalence with Kuntzmann-Butcher IRK -- 70.1.4 Collocation schemes -- 70.2 Stability and error analysis -- 70.2.1 Stability -- 70.2.2 Error analysis -- 70.3 Algebraic realization -- 70.3.1 IRK implementation -- 70.3.2 General case -- 71 Analysis using inf-sup stability -- 71.1 Well-posedness -- 71.1.1 Functional setting -- 71.1.2 Boundedness and inf-sup stability -- 71.1.3 Another proof of Lions' theorem -- 71.1.4 Ultraweak formulation -- 71.2 Semi-discretization in space -- 71.2.1 Mesh-dependent inf-sup stability -- 71.2.2 Inf-sup stability in the X-norm -- 71.3 dG(k) scheme -- 71.4 cPG(k) scheme -- Part XIV Time-dependent Stokes equations -- 72 Weak formulations and well-posedness -- 72.1 Model problem -- 72.2 Constrained weak formulation -- 72.3 Mixed weak formulation with smooth data -- 72.4 Mixed weak formulation with rough data -- 73 Monolithic time discretization -- 73.1 Model problem -- 73.2 Space semi-discretization -- 73.2.1 Discrete formulation. 73.2.2 Error equations and approximation operators -- 73.2.3 Error analysis -- 73.3 Implicit Euler approximation -- 73.3.1 Discrete formulation -- 73.3.2 Algebraic realization and preconditioning -- 73.3.3 Error analysis -- 73.4 Higher-order time approximation -- 74 Projection methods -- 74.1 Model problem and Helmholtz decomposition -- 74.2 Pressure correction in standard form -- 74.2.1 Formulation of the method -- 74.2.2 Stability and convergence properties -- 74.3 Pressure correction in rotational form -- 74.3.1 Formulation of the method -- 74.3.2 Stability and convergence properties -- 74.4 Finite element approximation -- 75 Artificial compressibility -- 75.1 Stability under compressibility perturbation -- 75.2 First-order artificial compressibility -- 75.3 Higher-order artificial compressibility -- 75.4 Finite element implementation -- Part XV Time-dependent first-order linear PDEs -- 76 Well-posedness and space semi-discretization -- 76.1 Maximal monotone operators -- 76.2 Well-posedness -- 76.3 Time-dependent Friedrichs' systems -- 76.4 Space semi-discretization -- 76.4.1 Discrete setting -- 76.4.2 Discrete problem and well-posedness -- 76.4.3 Error analysis -- 77 Implicit time discretization -- 77.1 Model problem and space discretization -- 77.1.1 Model problem -- 77.1.2 Setting for the space discretization -- 77.2 Implicit Euler scheme -- 77.2.1 Time discrete setting and algebraic realization -- 77.2.2 Stability -- 77.3 Error analysis -- 77.3.1 Approximation in space -- 77.3.2 Error estimate in the L-norm -- 77.3.3 Error estimate in the graph norm -- 78 Explicit time discretization -- 78.1 Explicit Runge-Kutta (ERK) schemes -- 78.1.1 Butcher tableau -- 78.1.2 Examples -- 78.1.3 Order conditions -- 78.2 Explicit Euler scheme -- 78.3 Second-order two-stage ERK schemes -- 78.4 Third-order three-stage ERK schemes. Part XVI Nonlinear hyperbolic PDEs -- 79 Scalar conservation equations -- 79.1 Weak and entropy solutions -- 79.1.1 The model problem -- 79.1.2 Short-time existence and loss of smoothness -- 79.1.3 Weak solutions -- 79.1.4 Existence and uniqueness -- 79.2 Riemann problem -- 79.2.1 One-dimensional Riemann problem -- 79.2.2 Convex or concave flux -- 79.2.3 General case -- 79.2.4 Riemann cone and averages -- 79.2.5 Multidimensional flux -- 80 Hyperbolic systems -- 80.1 Weak solutions and examples -- 80.1.1 First-order quasilinear hyperbolic systems -- 80.1.2 Hyperbolic systems in conservative form -- 80.1.3 Examples -- 80.2 Riemann problem -- 80.2.1 Expansion wave, contact discontinuity, and shock -- 80.2.2 Maximum speed and averages -- 80.2.3 Invariant sets -- 81 First-order approximation -- 81.1 Scalar conservation equations -- 81.1.1 The finite element space -- 81.1.2 The scheme -- 81.1.3 Maximum principle -- 81.1.4 Entropy inequalities -- 81.2 Hyperbolic systems -- 81.2.1 The finite element space -- 81.2.2 The scheme -- 81.2.3 Upper bounds on λmax -- 82 Higher-order approximation -- 82.1 Higher order in time -- 82.1.1 Key ideas -- 82.1.2 Examples -- 82.1.3 Butcher tableau versus (α-β) representation -- 82.2 Higher order in space for scalar equations -- 82.2.1 Heuristic motivation and preliminary result -- 82.2.2 Smoothness-based graph viscosity -- 82.2.3 Greedy graph viscosity -- 83 Higher-order approximation and limiting -- 83.1 Higher-order techniques -- 83.1.1 Diminishing the graph viscosity -- 83.1.2 Dispersion correction: consistent mass matrix -- 83.2 Limiting -- 83.2.1 Key principles -- 83.2.2 Conservative algebraic formulation -- 83.2.3 Boris-Book-Zalesak's limiting for scalar equations -- 83.2.4 Convex limiting for hyperbolic systems -- References -- Index. |
| Altri titoli varianti |
Finite elements 3
Finite elements three |
| Record Nr. | UNINA-9910484910903321 |
Ern Alexandre <1967->
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A first course in harmonic analysis / Anton Deitmar
| A first course in harmonic analysis / Anton Deitmar |
| Autore | Deitmar, Anton |
| Pubbl/distr/stampa | New York : Springer, c2002 |
| Descrizione fisica | xi, 151 p. ; 25 cm |
| Disciplina | 515.2433 |
| Collana | Universitext |
| Soggetto topico | Harmonic analysis |
| ISBN | 0387953752 |
| Classificazione |
AMS 43-XX
LC QA403.D44 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003994909707536 |
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Deitmar, Anton
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| New York : Springer, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Fixed Point Theory in Metric Spaces : Recent Advances and Applications / / by Praveen Agarwal, Mohamed Jleli, Bessem Samet
| Fixed Point Theory in Metric Spaces : Recent Advances and Applications / / by Praveen Agarwal, Mohamed Jleli, Bessem Samet |
| Autore | Agarwal Praveen |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (173 pages) |
| Disciplina | 515.7248 |
| Soggetto topico |
Functional analysis
Harmonic analysis Difference equations Functional equations Operator theory Integral equations Functional Analysis Abstract Harmonic Analysis Difference and Functional Equations Operator Theory Integral Equations |
| ISBN | 981-13-2913-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Banach Contraction Principle and Applications -- On Ran-Reurings Fixed Point Theorem -- On a-y Contractive Mappings and Related Fixed Point Theorems -- Cyclic Contractions: An Improvement Result -- On JS-Contraction Mappings in Branciari Metric Spaces -- An Implicit Contraction on a Set Equipped with Two Metrics -- On Fixed Points that Belong to the Zero Set of a Certain Function -- A Coupled Fixed Point Problem Under a Finite Number of Equality Constraints -- The Study of Fixed Points in JS-Metric Spaces -- Iterated Bernstein Polynomial Approximations. |
| Record Nr. | UNINA-9910300114903321 |
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Agarwal Praveen
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| Singapore : , : Springer Singapore : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fourier Analysis : Pseudo-differential Operators, Time-Frequency Analysis and Partial Differential Equations / / edited by Michael Ruzhansky, Ville Turunen
| Fourier Analysis : Pseudo-differential Operators, Time-Frequency Analysis and Partial Differential Equations / / edited by Michael Ruzhansky, Ville Turunen |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2014 |
| Descrizione fisica | 1 online resource (416 p.) |
| Disciplina |
515
515.2433 515/.7242 |
| Collana | Trends in Mathematics |
| Soggetto topico |
Partial differential equations
Global analysis (Mathematics) Manifolds (Mathematics) Operator theory Harmonic analysis Sequences (Mathematics) Functions of real variables Partial Differential Equations Global Analysis and Analysis on Manifolds Operator Theory Abstract Harmonic Analysis Sequences, Series, Summability Real Functions |
| ISBN | 3-319-02550-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Contributions by N. Bez, M. Sugimoto, Tang Bao Ngoc Bui, M. Reissig, F. Colombini, D. Del Santo, F. Fanelli, G. Metivier, E. Cordero, F. Nicola, L. Rodino, S. Coriasco, K. Johansson, J. Toft, V. Fischer, M. Ruzhansky, G. Garello, A. Morando, D. Grieser, E. Hunsicker, N. Habal, W. Rungrottheera, B -- W. Schulze, C. Iwasaki, B. Kanguzhin, N. Tokmagambetov, S. Katayama, H. Kubo, M. Lassas, T. Zhou, T. Matsuyama, T. Nishitani, S. Serovajsky, K. Shakenov, S. Tikhonov, M. Zeltser, Y. Wakasugi, K. Yagdjian. . |
| Record Nr. | UNINA-9910768172303321 |
| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fourier analysis on groups [[electronic resource] /] / Walter Rudin
| Fourier analysis on groups [[electronic resource] /] / Walter Rudin |
| Autore | Rudin Walter <1921-2010.> |
| Edizione | [Wiley classics library ed.] |
| Pubbl/distr/stampa | New York, : Wiley, 1990 |
| Descrizione fisica | 1 online resource (298 p.) |
| Disciplina | 515 |
| Soggetto topico |
Fourier transformations
Harmonic analysis |
| ISBN |
1-283-29882-1
9786613298829 1-118-16562-4 1-118-16564-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Fourier Analysis on Groups; CONTENTS; Chapter 1 The Basic Theorems of Fourier Analysis; 1.1 Haar Measure and Convolution; 1.2 The Dual Group and the Fourier Transform; 1.3 Fourier-Stieltjes Transforms; 1.4 Positive-Definite Functions; 1.5 The Inversion Theorem; 1.6 The Plancherel Theorem; 1.7 The Pontryagin Duality Theorem; 1.8 The Bohr Compactification; 1.9 A Characterization of B(Г); Chapter 2 The Structure of Locally Compact Abelian Groups; 2.1 The Duality between Subgroups and Quotient Groups; 2.2 Direct Sums; 2.3 Monothetic Groups; 2.4 The Principal Structure Theorem
2.5 The Duality between Compact and Discrete Groups2.6 Local Units in A(Г); 2.7 Fourier Transforms on Subgroups and on Quotient Groups; Chapter 3 Idempotent Measures; 3.1 Outline of the Main Result; 3.2 Some Trivial Cases; 3.3 Reduction to Compact Groups; 3.4 Decomposition into Irreducible Measures; 3.5 Five Lemmas; 3.6 Characterization of Irreducible Idempotents; 3.7 Norms of Idempotent Measures; 3.8 A Multiplier Problem; Chapter 4 Homomorphisms of Group Algebras; 4.1 Outline of the Main Result; 4.2 The Action of Piecewise Affine Maps; 4.3 Graphs in the Coset Ring; 4.4 Compact Groups 4.5 The General Case4.6 Complements to the Main Result; 4.7 Special Cases; Chapter 5 Measures and Fourier Transforms on Thin Sets; 5.1 Independent Sets and Kronecker Sets; 5.2 Existence of Perfect Kronecker Sets; 5.3 The Asymmetry of M(G); 5.4 Multiplicative Extension of Certain Linear Functionals; 5.5 Transforms of Measures on Kronecker Sets; 5.6 Helson Sets; 5.7 Sidon Sets; Chapter 6 Functions of Fourier Transforms; 6.1 Introduction; 6.2 Sufficient Conditions; 6.3 Range Transformations on B(Г) for Non-Compact Г; 6.4 Some Consequences; 6.5 Range Transformations on A(Г) for Discrete Г 6.6 Range Transformations on A(Г) for Non-Discrete Г6.7 Comments on the Predecing Theorems; 6.8 Range Transformations on Some Quotient Algebras; 6.9 Operating Functions Defined in Plane Regions; Chapter 7 Closed Ideals in L1 (G); 7.1 Introduction; 7.2 Wiener's Tauberian Theorem; 7.3 The Example of Schwartz; 7.4 The Examples of Herz; 7.5 Polyhedral Sets; 7.6 Malliavin's Theorem; 7.7 Closed Ideals Which Are Not Self-Adjoint; 7.8 Spectral Synthesis of Bounded Functions; Chapter 8 Fourier Analysis on Ordered Groups; 8.1 Ordered Groups; 8.2 The Theorem of F. and M. Riesz; 8.3 Geometrie Means 8.4 Factorization Theorems in H1(G) and in H2(G)8.5 Invariant Subspaces of H2(G); 8.6 A Gap Theorem of Paley; 8.7 Conjugate Functions; Chapter 9 Closed Subalgebras of L1(G); 9.1 Compact Groups; 9.2 Maximal Subalgebras; 9.3 The Stone-Weierstrass Property; Appendices; A. Topology; B. Topological Groups; C. Banach Spaces; D. Banach Algebras; E. Measure Theory; Bibliography; List of Special Symbols; Index |
| Record Nr. | UNINA-9910139600003321 |
|
Rudin Walter <1921-2010.>
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||
| New York, : Wiley, 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fourier analysis on groups / / Walter Rudin
| Fourier analysis on groups / / Walter Rudin |
| Autore | Rudin Walter <1921-2010.> |
| Edizione | [Wiley classics library ed.] |
| Pubbl/distr/stampa | New York, : Wiley, 1990 |
| Descrizione fisica | 1 online resource (298 p.) |
| Disciplina | 515 |
| Soggetto topico |
Fourier transformations
Harmonic analysis |
| ISBN |
1-283-29882-1
9786613298829 1-118-16562-4 1-118-16564-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Fourier Analysis on Groups; CONTENTS; Chapter 1 The Basic Theorems of Fourier Analysis; 1.1 Haar Measure and Convolution; 1.2 The Dual Group and the Fourier Transform; 1.3 Fourier-Stieltjes Transforms; 1.4 Positive-Definite Functions; 1.5 The Inversion Theorem; 1.6 The Plancherel Theorem; 1.7 The Pontryagin Duality Theorem; 1.8 The Bohr Compactification; 1.9 A Characterization of B(Г); Chapter 2 The Structure of Locally Compact Abelian Groups; 2.1 The Duality between Subgroups and Quotient Groups; 2.2 Direct Sums; 2.3 Monothetic Groups; 2.4 The Principal Structure Theorem
2.5 The Duality between Compact and Discrete Groups2.6 Local Units in A(Г); 2.7 Fourier Transforms on Subgroups and on Quotient Groups; Chapter 3 Idempotent Measures; 3.1 Outline of the Main Result; 3.2 Some Trivial Cases; 3.3 Reduction to Compact Groups; 3.4 Decomposition into Irreducible Measures; 3.5 Five Lemmas; 3.6 Characterization of Irreducible Idempotents; 3.7 Norms of Idempotent Measures; 3.8 A Multiplier Problem; Chapter 4 Homomorphisms of Group Algebras; 4.1 Outline of the Main Result; 4.2 The Action of Piecewise Affine Maps; 4.3 Graphs in the Coset Ring; 4.4 Compact Groups 4.5 The General Case4.6 Complements to the Main Result; 4.7 Special Cases; Chapter 5 Measures and Fourier Transforms on Thin Sets; 5.1 Independent Sets and Kronecker Sets; 5.2 Existence of Perfect Kronecker Sets; 5.3 The Asymmetry of M(G); 5.4 Multiplicative Extension of Certain Linear Functionals; 5.5 Transforms of Measures on Kronecker Sets; 5.6 Helson Sets; 5.7 Sidon Sets; Chapter 6 Functions of Fourier Transforms; 6.1 Introduction; 6.2 Sufficient Conditions; 6.3 Range Transformations on B(Г) for Non-Compact Г; 6.4 Some Consequences; 6.5 Range Transformations on A(Г) for Discrete Г 6.6 Range Transformations on A(Г) for Non-Discrete Г6.7 Comments on the Predecing Theorems; 6.8 Range Transformations on Some Quotient Algebras; 6.9 Operating Functions Defined in Plane Regions; Chapter 7 Closed Ideals in L1 (G); 7.1 Introduction; 7.2 Wiener's Tauberian Theorem; 7.3 The Example of Schwartz; 7.4 The Examples of Herz; 7.5 Polyhedral Sets; 7.6 Malliavin's Theorem; 7.7 Closed Ideals Which Are Not Self-Adjoint; 7.8 Spectral Synthesis of Bounded Functions; Chapter 8 Fourier Analysis on Ordered Groups; 8.1 Ordered Groups; 8.2 The Theorem of F. and M. Riesz; 8.3 Geometrie Means 8.4 Factorization Theorems in H1(G) and in H2(G)8.5 Invariant Subspaces of H2(G); 8.6 A Gap Theorem of Paley; 8.7 Conjugate Functions; Chapter 9 Closed Subalgebras of L1(G); 9.1 Compact Groups; 9.2 Maximal Subalgebras; 9.3 The Stone-Weierstrass Property; Appendices; A. Topology; B. Topological Groups; C. Banach Spaces; D. Banach Algebras; E. Measure Theory; Bibliography; List of Special Symbols; Index |
| Record Nr. | UNINA-9910877821503321 |
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Rudin Walter <1921-2010.>
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| New York, : Wiley, 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fourier analysis on local fields / by M. H. Taibleson
| Fourier analysis on local fields / by M. H. Taibleson |
| Autore | Taibleson, M. H. |
| Pubbl/distr/stampa | Princeton, N. J. : Princeton Univ. Press, 1975 |
| Descrizione fisica | xii, 294 p. ; 24 cm |
| Disciplina | 515.2433 |
| Collana | Mathematical notes ; 15 |
| Soggetto topico |
Fourier analysis
Harmonic analysis Local fields |
| ISBN | 0691081654 |
| Classificazione |
AMS 43-01
AMS 43-XX QA247 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000909209707536 |
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Taibleson, M. H.
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| Princeton, N. J. : Princeton Univ. Press, 1975 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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The Fourier transforms and its applications / Ronald N. Bracewell
| The Fourier transforms and its applications / Ronald N. Bracewell |
| Autore | Bracewell, Ronald N. |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | New York : McGraw-Hill Book Co., c1978 |
| Descrizione fisica | xvi, 444 p. : ill. ; 24 cm. |
| Collana | McGraw-Hill electrical and electronic engineering series |
| Soggetto topico |
Fourier transformations
Harmonic analysis Transformations (Mathematics) |
| Classificazione |
510.42
621.3.3 QA403.5.B7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000961149707536 |
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Bracewell, Ronald N.
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| New York : McGraw-Hill Book Co., c1978 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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The Fourier transforms and its applications / [by] Ron Bracewell
| The Fourier transforms and its applications / [by] Ron Bracewell |
| Autore | Bracewell, Ronald N. |
| Pubbl/distr/stampa | New York : McGraw-Hill Book Co., c1965 |
| Descrizione fisica | viii, 381 p. : ill. ; 23 cm. |
| Soggetto topico |
Fourier transformations
Harmonic analysis Transformations (Mathematics) |
| Classificazione |
510.42
QA403.B7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000961079707536 |
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Bracewell, Ronald N.
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| New York : McGraw-Hill Book Co., c1965 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Fractals in engineering : theoretical aspects and numerical approximations / / edited by Maria Rosaria Lancia and Anna Rozanova-Pierrat
| Fractals in engineering : theoretical aspects and numerical approximations / / edited by Maria Rosaria Lancia and Anna Rozanova-Pierrat |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (179 pages) : illustrations |
| Disciplina | 658.4034 |
| Collana | SEMA SIMAI Springer |
| Soggetto topico |
Calculus
Applied mathematics Functions Harmonic analysis Mathematical analysis Càlcul Matemàtica aplicada Funcions Anàlisi harmònica Anàlisi matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-61803-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Editors and Contributors -- About the Editors -- Contributors -- A Numerical Approach to a Nonlinear Diffusion Model for Self-Organized Criticality Phenomena -- 1 Introduction -- 2 The Basic Model -- 3 Numerical Approximation on a Fixed Grid -- 4 Approximation on a Synchronized Family of Grids -- 5 Numerical Tests -- References -- Approximation of 3D Stokes Flows in Fractal Domains -- 1 Introduction -- 2 Preliminaries -- 3 Existence and Uniqueness Results -- 4 Regularity in Weighted Sobolev Spaces -- 5 Mean Shear Stress -- 6 Numerical Approximation -- 7 Numerical Simulations -- References -- ∞-Laplacian Obstacle Problems in Fractal Domains -- 1 Introduction -- 2 Fractal Domains, Approximating Domains and Fibers -- 3 Setting and Asymptotic Behavior -- 4 Uniqueness and Perspectives -- 5 Uniform and Error Estimates -- References -- Discretization of the Koch Snowflake Domain with Boundary and Interior Energies -- 1 Introduction -- 2 Dirichlet Form on the Koch Snowflake -- 3 Dirichlet Form on the Snowflake Domain -- 4 Inductive Mesh Construction and Discrete Energy Forms -- 5 Numerical Results -- 5.1 Algorithm and Implementation -- 5.2 The Eigenvalue Counting Function -- 5.3 Eigenvectors and Eigenvalues in the Low Eigenvalue Regime -- 5.4 Localization in the High Eigenvalue Regime -- 6 A Landscape Approach to High Frequency Localization -- References -- On the Dimension of the Sierpinski Gasket in l2 -- 1 Introduction -- 2 Invariant Sets -- 2.1 Infinite Dimensional Sierpinski Gasket -- 2.2 Hausdorff Dimension of Invariant Sets -- 2.3 N-Dimensional Simplices -- 3 Invariant Measures -- References -- On the External Approximation of Sobolev Spaces by M-Convergence -- 1 Introduction -- 2 Sobolev Space Approximations -- 3 The M-Convergence Result -- 4 Proof of Lemma 1 -- 5 Proof of Lemma 2 -- 6 Comments -- References.
Generalization of Rellich-Kondrachov Theorem and Trace Compactness for Fractal Boundaries -- 1 Introduction -- 2 Sobolev Extension Domains -- 3 Trace on the Boundary and Green Formulas -- 3.1 Framework of d-Sets and Markov's Local Inequality -- 3.2 General Framework of Closed Subsets of Rn -- 3.3 Integration by Parts and the Green Formula -- 4 Sobolev Admissible Domains and the Generalization of the Rellich-Kondrachov Theorem -- 5 Compactness of the Trace -- 6 Application to the Poisson Boundary Valued and Spectral Problems -- References. |
| Record Nr. | UNISA-996466550503316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Soggetto topico
-
Harmonic analysis
(454)
- Abstract Harmonic Analysis (107)
- Functional analysis (71)
- Fourier analysis (53)
- Functional Analysis (46)