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Geometric Harmonic Analysis III : Integral Representations, Calderón-Zygmund Theory, Fatou Theorems, and Applications to Scattering / / by Dorina Mitrea, Irina Mitrea, Marius Mitrea
| Geometric Harmonic Analysis III : Integral Representations, Calderón-Zygmund Theory, Fatou Theorems, and Applications to Scattering / / by Dorina Mitrea, Irina Mitrea, Marius Mitrea |
| Autore | Mitrea Dorina <1965-> |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (980 pages) |
| Disciplina | 515.4 |
| Collana | Developments in Mathematics |
| Soggetto topico |
Mathematical analysis
Integral Transforms and Operational Calculus Teoria de la mesura geomètrica |
| Soggetto genere / forma | Llibres electrònics |
| Soggetto non controllato | Mathematics |
| ISBN |
9783031227356
9783031227349 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction and Statement of Main Results Concerning the Divergence Theorem -- Examples, Counterexamples, and Additional Perspectives -- Tools from Geometric Measure Theory, Harmonic Analysis, and functional Analysis -- Open Sets with Locally Finite Surface Measures and Boundary Behavior -- Proofs of the Main Results Pertaining to the Divergence Theorem -- Applications to Singular Integrals, Function Spaces, Boundary Problems, and Further Results. |
| Record Nr. | UNINA-9910725088003321 |
Mitrea Dorina <1965->
|
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric Harmonic Analysis V [[electronic resource] ] : Fredholm Theory and Finer Estimates for Integral Operators, with Applications to Boundary Problems / / by Dorina Mitrea, Irina Mitrea, Marius Mitrea
| Geometric Harmonic Analysis V [[electronic resource] ] : Fredholm Theory and Finer Estimates for Integral Operators, with Applications to Boundary Problems / / by Dorina Mitrea, Irina Mitrea, Marius Mitrea |
| Autore | Mitrea Dorina <1965-> |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (1006 pages) |
| Disciplina | 515.42 |
| Collana | Developments in Mathematics |
| Soggetto topico |
Mathematical analysis
Integral Transforms and Operational Calculus |
| ISBN | 3-031-31561-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction and Statement of Main Results Concerning the Divergence Theorem -- Examples, Counterexamples, and Additional Perspectives -- Tools from Geometric Measure Theory, Harmonic Analysis, and functional Analysis -- Open Sets with Locally Finite Surface Measures and Boundary Behavior -- Proofs of the Main Results Pertaining to the Divergence Theorem -- Applications to Singular Integrals, Function Spaces, Boundary Problems, and Further Results. |
| Record Nr. | UNINA-9910741186503321 |
|
Mitrea Dorina <1965->
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds / / Dorina Mitrea, Marius Mitrea, Michael Taylor
| Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds / / Dorina Mitrea, Marius Mitrea, Michael Taylor |
| Autore | Mitrea Dorina <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2001 |
| Descrizione fisica | 1 online resource (137 p.) |
| Disciplina |
510 s
516.3/73 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Riemannian manifolds
Boundary value problems Differential equations, Elliptic - Numerical solutions |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0306-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Singular integrals on Lipschitz submanifolds of codimension one""; ""Chapter 2. Estimates on fundamental solutions""; ""Chapter 3. General second-order strongly elliptic systems""; ""Chapter 4. The Dirichlet problem for the Hodge Laplacian and related operators""; ""Chapter 5. Natural boundary problems for the Hodge Laplacian in Lipschitz domains""; ""Chapter 6. Layer potential operators on Lipschitz domains""; ""Chapter 7. Rellich type estimates for differential forms""
""Chapter 8. Fredholm properties of boundary integral operators on regular spaces""""Chapter 9. Weak extensions of boundary derivative operators""; ""Chapter 10. Localization arguments and the end of the proof of Theorem 6.2""; ""Chapter 11. Harmonic fields on Lipschitz domains""; ""Chapter 12. The proofs of the Theorems 5.1-5.5""; ""Chapter 13. The proofs of the auxiliary lemmas""; ""Chapter 14. Applications to Maxwell's equations on Lipschitz domains""; ""Appendix A. Analysis on Lipschitz manifolds""; ""Appendix B. The connection between dâ??and dâ??Ω""; ""Bibliography"" |
| Record Nr. | UNINA-9910481000603321 |
|
Mitrea Dorina <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds / / Dorina Mitrea, Marius Mitrea, Michael Taylor
| Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds / / Dorina Mitrea, Marius Mitrea, Michael Taylor |
| Autore | Mitrea Dorina <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2001 |
| Descrizione fisica | 1 online resource (137 p.) |
| Disciplina |
510 s
516.3/73 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Riemannian manifolds
Boundary value problems Differential equations, Elliptic - Numerical solutions |
| ISBN | 1-4704-0306-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Singular integrals on Lipschitz submanifolds of codimension one""; ""Chapter 2. Estimates on fundamental solutions""; ""Chapter 3. General second-order strongly elliptic systems""; ""Chapter 4. The Dirichlet problem for the Hodge Laplacian and related operators""; ""Chapter 5. Natural boundary problems for the Hodge Laplacian in Lipschitz domains""; ""Chapter 6. Layer potential operators on Lipschitz domains""; ""Chapter 7. Rellich type estimates for differential forms""
""Chapter 8. Fredholm properties of boundary integral operators on regular spaces""""Chapter 9. Weak extensions of boundary derivative operators""; ""Chapter 10. Localization arguments and the end of the proof of Theorem 6.2""; ""Chapter 11. Harmonic fields on Lipschitz domains""; ""Chapter 12. The proofs of the Theorems 5.1-5.5""; ""Chapter 13. The proofs of the auxiliary lemmas""; ""Chapter 14. Applications to Maxwell's equations on Lipschitz domains""; ""Appendix A. Analysis on Lipschitz manifolds""; ""Appendix B. The connection between dâ??and dâ??Ω""; ""Bibliography"" |
| Record Nr. | UNINA-9910788843203321 |
|
Mitrea Dorina <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds / / Dorina Mitrea, Marius Mitrea, Michael Taylor
| Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds / / Dorina Mitrea, Marius Mitrea, Michael Taylor |
| Autore | Mitrea Dorina <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2001 |
| Descrizione fisica | 1 online resource (137 p.) |
| Disciplina |
510 s
516.3/73 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Riemannian manifolds
Boundary value problems Differential equations, Elliptic - Numerical solutions |
| ISBN | 1-4704-0306-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Singular integrals on Lipschitz submanifolds of codimension one""; ""Chapter 2. Estimates on fundamental solutions""; ""Chapter 3. General second-order strongly elliptic systems""; ""Chapter 4. The Dirichlet problem for the Hodge Laplacian and related operators""; ""Chapter 5. Natural boundary problems for the Hodge Laplacian in Lipschitz domains""; ""Chapter 6. Layer potential operators on Lipschitz domains""; ""Chapter 7. Rellich type estimates for differential forms""
""Chapter 8. Fredholm properties of boundary integral operators on regular spaces""""Chapter 9. Weak extensions of boundary derivative operators""; ""Chapter 10. Localization arguments and the end of the proof of Theorem 6.2""; ""Chapter 11. Harmonic fields on Lipschitz domains""; ""Chapter 12. The proofs of the Theorems 5.1-5.5""; ""Chapter 13. The proofs of the auxiliary lemmas""; ""Chapter 14. Applications to Maxwell's equations on Lipschitz domains""; ""Appendix A. Analysis on Lipschitz manifolds""; ""Appendix B. The connection between dâ??and dâ??Ω""; ""Bibliography"" |
| Record Nr. | UNINA-9910807035303321 |
|
Mitrea Dorina <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||