Analysis in Integer and Fractional Dimensions - Rilegato

Libro 19 di 151: Cambridge Studies in Advanced Mathematics

Blei, Ron

 
9780521650847: Analysis in Integer and Fractional Dimensions

Sinossi

Thorough and self-contained study for graduate students and researchers.

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Descrizione del libro

This book provides a thorough and self-contained study of interdependence and complexity in settings of functional analysis, harmonic analysis and stochastic analysis. It is primarily aimed at students with a basic background in graduate analysis. Also of interest to computer scientists, physicists, statisticians, biologists and economists.

Contenuti

Preface; 1. A prologue: mostly historical; 2. Three classical inequalities; 3. A fourth inequality; 4. Elementary properties of the Frechet variation - an introduction to tensor products; 5. The Grothendieck factorization theorem; 6. An introduction to multidimensional measure theory; 7. An introduction to harmonic analysis; 8. Multilinear extensions of the Grothendieck inequality; 9. Product Frechet measures; 10. Brownian motion and the Wiener process; 11. Integrator; 12. A '3/2n- dimensional' Cartesian product; 13. Fractional Cartesian products and combinatorial dimension; 14. The last chapter: leads and loose ends.

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