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Book Review
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Book Information
Author(s):
Athanase Papadopoulos
Title:
Metric spaces, convexity, and nonpositive curvature
Additional book information:
European Math. Soc.,
Zürich,
2005,
xii + 287 pp.,
EUR 48.00,
ISBN 3-03719-010-8
References:
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- 2.
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- 3.
- A. Bellaïche and J.-J. Risler, editors, Sub-Riemannian Geometry, Birkhäuser, 1996. MR 1421821 (97f:53002)
- 4.
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- 5.
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- 6.
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- 7.
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 -Adic Numbers: An Introduction, 2nd edition, Springer-Verlag, 1997. MR 1488696 (98h:11155) - 8.
- J. Heinonen, Calculus on Carnot groups, in Fall School in Analysis, 1-31, Reports of the Department of Mathematics and Statistics 68, University of Jyväskylä, 1995. MR 1351042 (96j:22015)
- 9.
- J. Heinonen, Lectures on Analysis on Metric Spaces, Springer-Verlag, 2001. MR 1800917 (2002c:30028)
- 10.
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- 11.
- J. Kigami, Analysis on Fractals, Cambridge University Press, 2001. MR 1840042 (2002c:28015)
- 12.
- S. Krantz, Complex Analysis: The Geometric Viewpoint, 2nd edition, Mathematical Association of America, 2004. MR 2047863 (2004m:30001)
- 13.
- R. Montgomery, A Tour of Subriemannian Geometries, Their Geodesics and Applications, American Mathematical Society, 2002. MR 1867362 (2002m:53045)
- 14.
- S. Semmes, An introduction to analysis on metric spaces, Notices Amer. Math. Soc. 50 (2003), 438-443. MR 1960309 (2003m:00004)
- 15.
- S. Semmes, An introduction to Heisenberg groups in analysis and geometry, Notices Amer. Math. Soc. 50 (2003), 640-646. MR 1988576 (2004e:22008)
- 16.
- S. Semmes, Happy fractals and some aspects of analysis on metric spaces, Publ. Mat. 47 (2003), 261-309. MR 2006486 (2004m:28016)
- 17.
- E. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, with the assistance of T. Murphy, Princeton University Press, 1993. MR 1232192 (95c:42002)
- 18.
- R. Strichartz, Analysis on fractals, Notices Amer. Math. Soc. 46 (1999), 1199-1208. MR 1715511 (2000i:58035)
- 19.
- M. Taibleson, Fourier Analysis on Local Fields, Princeton University Press, 1975. MR 0487295 (58:6943)
- 20.
- A. Thompson, Minkowski Geometry, Cambridge University Press, 1996. MR 1406315 (97f:52001)
- 21.
- E. Vesentini, Invariant metrics on convex cones, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 3 (1976), 671-696. MR 0433228 (55:6206)
- 22.
- N. Varopoulos, L. Saloff-Coste, and T. Coulhon, Analysis and Geometry on Groups, Cambridge University Press, 1992. MR 1218884 (95f:43008)
Additional Information:
Reviewer(s):
Stephen
Semmes
Affiliation:
Rice University
Email:
semmes@rice.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
43
(2006),
435-438.
MSC
(2000):
Primary 51-02, 52-02, 53-02
PII:
S 0273-0979(06)01103-7
Posted:
April 19, 2006
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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