Analysis in Integer and Fractional Dimensions

ISBN: 9780511036972 出版年：2001 页码：578 Ron Blei Cambridge University Press

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.