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Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
Elias M. Stein

Paperback | 1970 | $67.50 | £56.95 | ISBN: 9780691080673
160 pp. | 6 x 9
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This work deals with an extension of the classical Littlewood-Paley theory in the context of symmetric diffusion semigroups. In this general setting there are applications to a variety of problems, such as those arising in the study of the expansions coming from second order elliptic operators. A review of background material in Lie groups and martingale theory is included to make the monograph more accessible to the student.

Table of Contents:

  • Frontmatter, pg. i
  • Preface, pg. v
  • Contents, pg. vii
  • Introduction, pg. 1
  • Chapter I: Lie Groups (A Review), pg. 5
  • Chapter II: Littlewood-Paley Theory for a Compact Lie Group, pg. 37
  • Chapter III: General Symmetric Diffusion Semi-Groups, pg. 65
  • Chapter IV: The General Littlewood-Paley Theory, pg. 89
  • Chapter V: Further Illustrations, pg. 123
  • References, pg. 143
  • Appendix (1985), pg. 147

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