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Analysis in integer and fractional dimensions /
This book provides a thorough and self-contained study of interdependence and complexity in settings of functional analysis, harmonic analysis and stochastic analysis. It focuses on 'dimension' as a basic counter of degrees of freedom, leading to precise relations between combinatorial mea...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2001.
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| Colección: | Cambridge studies in advanced mathematics ;
71. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Part I: A prologue: mostly historical
- Part II: Three classical inequalities
- Part III: A fourth inequality
- Part IV: Elementary properties of the Frechet variation- an introduction to tensor products
- Part V: The Grothendieck factorization theorem
- Part VI: An introduction to multidimensional measure theory
- Part VII: An introduction to harmonic analysis
- Part VIII: Multilinear extensions of the Grothendieck inequality (via "V"(2)-uniformizability)
- Part IX: Product Fréchet measures
- Part X: Brownian motion and the Wiener process
- Part XI: Integrators
- Part XII: A '3/2-dimensional' Cartesian product
- Part XIII: Fractional cartesian products and cominatorial dimension
- Part XIV: The last chapter: leads and loose ends.