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Geometric Analysis
 
Edited by: Eric L. Grinberg
Geometric Analysis
eBook ISBN:  978-0-8218-7731-9
Product Code:  CONM/140.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Geometric Analysis
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Geometric Analysis
Edited by: Eric L. Grinberg
eBook ISBN:  978-0-8218-7731-9
Product Code:  CONM/140.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1401992; 167 pp
    MSC: Primary 53; 58; 52; 44

    This volume contains the refereed proceedings of the Special Session on Geometric Analysis held at the AMS meeting in Philadelphia in October 1991. The term “geometric analysis” is being used with increasing frequency in the mathematical community, but its meaning is not entirely fixed. The papers in this collection should help to better define the notion of geometric analysis by illustrating emerging trends in the subject. The topics covered range over a broad spectrum: integral geometry, Radon transforms, geometric inequalities, microlocal analysis, harmonic analysis, analysis on Lie groups and symmetric spaces, and more. Containing articles varying from the expository to the technical, this book presents the latest results in a broad range of analytic and geometric topics.

    Readership

    Researchers and graduate students interested in the many fields related to geometric analysis.

  • Table of Contents
     
     
    • Articles
    • Carlos A. Berenstein and Enrico Casadio Tarabusi — On the Radon and Riesz transforms in real hyperbolic spaces [ MR 1197583 ]
    • Jan Boman — Holmgren’s uniqueness theorem and support theorems for real analytic Radon transforms [ MR 1197584 ]
    • G. D. Chakerian and E. Lutwak — On the Petty-Schneider theorem [ MR 1197585 ]
    • Leon Ehrenpreis — Nonlinear Fourier transform [ MR 1197586 ]
    • Hubert Goldschmidt — On the infinitesimal rigidity of the complex quadrics [ MR 1197587 ]
    • Allan Greenleaf and Gunther Uhlmann — Microlocal analysis of the two-plane transform [ MR 1197588 ]
    • Eric L. Grinberg — Aspects of flat Radon transforms [ MR 1197589 ]
    • Peter Kuchment — On positivity problems for the Radon transform and some related transforms [ MR 1197590 ]
    • Abdelhamid Meziani — Cohomology relative to the germ of an exact form [ MR 1197591 ]
    • Vladimir Oliker — Generalized convex bodies and generalized envelopes [ MR 1197592 ]
    • Eric Todd Quinto — A note on flat Radon transforms [ MR 1197593 ]
    • Robert S. Strichartz — Self-similarity on nilpotent Lie groups [ MR 1197594 ]
    • Jia Zu Zhou — A kinematic formula and analogues of Hadwiger’s theorem in space [ MR 1197595 ]
  • Reviews
     
     
    • Another triumph of intellectual honesty.

      The Bulletin of Mathematics Books and Computer Software
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1401992; 167 pp
MSC: Primary 53; 58; 52; 44

This volume contains the refereed proceedings of the Special Session on Geometric Analysis held at the AMS meeting in Philadelphia in October 1991. The term “geometric analysis” is being used with increasing frequency in the mathematical community, but its meaning is not entirely fixed. The papers in this collection should help to better define the notion of geometric analysis by illustrating emerging trends in the subject. The topics covered range over a broad spectrum: integral geometry, Radon transforms, geometric inequalities, microlocal analysis, harmonic analysis, analysis on Lie groups and symmetric spaces, and more. Containing articles varying from the expository to the technical, this book presents the latest results in a broad range of analytic and geometric topics.

Readership

Researchers and graduate students interested in the many fields related to geometric analysis.

  • Articles
  • Carlos A. Berenstein and Enrico Casadio Tarabusi — On the Radon and Riesz transforms in real hyperbolic spaces [ MR 1197583 ]
  • Jan Boman — Holmgren’s uniqueness theorem and support theorems for real analytic Radon transforms [ MR 1197584 ]
  • G. D. Chakerian and E. Lutwak — On the Petty-Schneider theorem [ MR 1197585 ]
  • Leon Ehrenpreis — Nonlinear Fourier transform [ MR 1197586 ]
  • Hubert Goldschmidt — On the infinitesimal rigidity of the complex quadrics [ MR 1197587 ]
  • Allan Greenleaf and Gunther Uhlmann — Microlocal analysis of the two-plane transform [ MR 1197588 ]
  • Eric L. Grinberg — Aspects of flat Radon transforms [ MR 1197589 ]
  • Peter Kuchment — On positivity problems for the Radon transform and some related transforms [ MR 1197590 ]
  • Abdelhamid Meziani — Cohomology relative to the germ of an exact form [ MR 1197591 ]
  • Vladimir Oliker — Generalized convex bodies and generalized envelopes [ MR 1197592 ]
  • Eric Todd Quinto — A note on flat Radon transforms [ MR 1197593 ]
  • Robert S. Strichartz — Self-similarity on nilpotent Lie groups [ MR 1197594 ]
  • Jia Zu Zhou — A kinematic formula and analogues of Hadwiger’s theorem in space [ MR 1197595 ]
  • Another triumph of intellectual honesty.

    The Bulletin of Mathematics Books and Computer Software
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.