Pub. Date:
Cambridge University Press
Analysis in Integer and Fractional Dimensions

Analysis in Integer and Fractional Dimensions


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Product Details

ISBN-13: 9780521650847
Publisher: Cambridge University Press
Publication date: 07/15/2001
Series: Cambridge Studies in Advanced Mathematics Series , #71
Pages: 580
Product dimensions: 5.98(w) x 8.98(h) x 1.46(d)

Table of Contents

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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