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Book Review
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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. \textbf{47} (1986), 69--85.
- [2]
- A. Carbery, The boundedness of the maximal Bochner-Riesz operator on $L^4(\Bbb R^2)$, Duke Math. J. \textbf{50} (1983), 409--416.
- [3]
- J. J. Duistermaat, Fourier integral operators, New York Univ., New York, 1973.
- [4]
- C. Fefferman, Inequalities for strongly singular convolution operators, Acta Math. \textbf{124} (1970), 9--36.
- [5]
- L. H\"ormander, Fourier integral operators. \RM {I}, Acta Math. \textbf{127} (1971), 79--183.
- [6]
- L. H\"ormander, Uniqueness theorems for second order elliptic differential equations, Comm. Partial Differential Equations \textbf{8} (1983), 21--64.
- [7]
- D. Jerison, Carlemann inequalities for the Dirac and Laplace operators and unique continuation, Adv. Math. \textbf{63} (1986), 118--134.
- [8]
- A. Miyachi, On some estimates for the wave equation in $L^p$ and $H^p$, J. Fac. Sci. Tokyo \textbf{27} (1980), 331--354.
- [9]
- G. Mockenhaupt, A. Seeger, and C. Sogge, Wave front sets, local smoothing and Bourgain\,\RM 's circular maximal theorem, Ann. of Math. (2) \textbf{136} (1992), 207--218.
- [10]
- G. Mockenhaupt, A. Seeger, and C. Sogge, Local smoothing of Fourier integral operators and Carleson-Sj\"olin estimates, J. Amer. Math. Soc. \textbf{6} (1993), 65--130.
- [11]
- J. Peral, $L^p$ estimates for the wave equation, J. Funct. Anal. \textbf{36} (1980,) 114--145.
- [12]
- C. Sogge, Propagation of singularities and maximal functions in the plane, Invent. Math. \textbf{104} (1991), 346--376.
- [13]
- E. Stein, Maximal functions\,\/\RM : spherical means, Proc. Nat. Acad. Sci. U.S.A. \textbf{73} (1976), 2174--2175.
- [14]
- R. Strichartz, Restrictions of Fourier transforms to quadratic surfaces, Duke Math. J. \textbf{44} (1977), 705--714.
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
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