Vector-valued function and distribution spaces on the torus
This book contains part of the results of a research project funded by Colciencias and executed by the research group Grupo de Investigación en Matemáticas Uninorte (Colombia), and contains details of properties, which are satis ed by certain spaces of vector value functions and distributions de n...
| Autor principal: | |
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| Otros Autores: | , |
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Barranquilla :
Universidad del Norte
2019.
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| Edición: | 1st ed |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009425564606719 |
Tabla de Contenidos:
- Vector-valued function and distribution spaces on the torus
- Cover
- Copyright
- Dedications
- Authors
- Contents
- Prefacio
- Preface
- Introduction
- 1. Spaces of functions on R^n
- 1.1 The space of test functions
- 1.2 The space of rapidly decreasing functions
- 1.3 The Fourier transform
- 1.4 Continuous embeddings
- 1.5 Sobolev spaces
- 2 Spaces of functions on the n-dimensional torus
- 2.1 Quotient spaces
- 2.2 The n-dimensional torus
- 2.3 Function spaces on T^n and identifications
- 2.4 L^p(T^n, E) spaces
- 2.5 The space C^∞(T^n, E) of test functions on the torus
- 3 Distributions on T^n and Z^n
- 3.1 Toroidal distributions
- 3.2 Tempered distributions
- 3.3 Toroidal Fourier transform
- 3.4 Convolution
- 4 Toroidal Besov spaces
- 4.1 Resolution of unity
- 4.2 Definition and properties of B^s_pq (T^n, E)
- 4.3 Lifting property
- 4.4 Embeddings in Besov spaces
- 5 Interpolation of toroidal Besov spaces
- 5.1 Compatible spaces
- 5.2 The K-functional
- 5.3 Real interpolation space and properties
- 5.4 Real interpolation for the spaces B^s_pq (T^n, E)
- Bibliografy
- List of symbols
- Index
- Back cover.
