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...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge ; New York :
Cambridge University Press,
2001.
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| Subjects: | |
| Online Access: |
Full text (MFA users only) |
| ISBN: | 0511012667 9780511012662 0511036973 9780511036972 9780511543012 0511543018 0521650844 9780521650847 1107117011 9781107117013 1280420561 9781280420566 9786610420568 6610420564 0511173830 9780511173837 0511153074 9780511153075 0511303343 9780511303340 0511052200 9780511052200 |
| Local Note: | ProQuest Ebook Central |
Table of Contents:
- 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.