Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Available in electronic format
Available in print format 		Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

Retrieve article in: PDF

Book Information

Author(s): Christopher Sogge
Title: Fourier integrals in classical analysis
Additional book information: Cambridge University Press, Cambridge, 1993, x+237 pp., US$39.95. ISBN 0-521-43464-5

References:

[1]
J. Bourgain, Averages in the plane over convex curves and maximal operators, J. Analyse Math. 47 (1986), 69-85. MR 874045 (88f:42036)

[2]
A. Carbery, The boundedness of the maximal Bochner-Riesz operator on $ {L^4}({\mathbb{R}^2})$, Duke Math. J. 50 (1983), 409-416. MR 705033 (84m:42025)

[3]
J. J. Duistermaat, Fourier integral operators, New York Univ., New York, 1973. MR 0451313 (56:9600)

[4]
C. Fefferman, Inequalities for strongly singular convolution operators, Acta Math. 124 (1970), 9-36. MR 0257819 (41:2468)

[5]
L. Hörmander, Fourier integral operators. I, Acta Math. 127 (1971), 79-183.. MR 0388463 (52:9299)

[6]
-, Uniqueness theorems for second order elliptic differential equations, Comm. Partial Differential Equations 8 (1983), 21-64. MR 686819 (85c:35018)

[7]
D. Jerison, Carlemann inequalities for the Dirac and Laplace operators and unique continuation, Adv. Math. 63 (1986), 118-134. MR 865834 (88b:35218)

[8]
A. Miyachi, On some estimates for the wave equation in $ {L^p}$ and $ {H^p}$, J. Fac. Sci. Tokyo 27 (1980), 331-354. MR 586454 (83g:35060)

[9]
G. Mockenhaupt, A. Seeger, and C. Sogge, Wave front sets, local smoothing and Bourgain's circular maximal theorem, Ann. of Math. (2) 136 (1992), 207-218. MR 1173929 (93i:42009)

[10]
-, Local smoothing of Fourier integral operators and Carleson-Sjölin estimates, J. Amer. Math. Soc. 6 (1993), 65-130. MR 1168960 (93h:58150)

[11]
J. Peral, $ {L^p}$ estimates for the wave equation, J. Funct. Anal. 36 (1980,), 114-145. MR 568979 (81k:35089)

[12]
C. Sogge, Propagation of singularities and maximal functions in the plane, Invent. Math. 104 (1991), 346-376. MR 1098614 (92i:58192)

[13]
E. Stein, Maximal functions: spherical means, Proc. Nat. Acad. Sci. U.S.A. 73 (1976), 2174-2175. MR 0420116 (54:8133a)

[14]
R. Strichartz, Restrictions of Fourier transforms to quadratic surfaces, Duke Math. J. 44 (1977), 705-714. MR 0512086 (58:23577)

Additional Information:

Reviewer(s):
Allan Greenleaf

Review Information:
Journal: Bull. Amer. Math. Soc. 30 (1994), 255-258.
DOI: 10.1090/S0273-0979-1994-00458-6
PII: S 0273-0979(1994)00458-6




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia