Salem sets and restriction properties of Fourier transforms

Geometric and Functional Analysis

Volumn 10, Issue 6, 2000, Pages 1579-1587

  Mockenhaupt, Gerd ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034556365     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001662     Document Type: Article

References (20)

1. J. BOURGAIN, Besicovitch type maximal operators and applications to Fourier analysis, Geom. Func. Anal. 1 (1991), 147-187.
2. J. BOURGAIN, Some new estimates on oscillatory integrals, in "Essays on Fourier Analysis in Honor of Elias M. Stein", Princeton Math. Ser. 42, Princeton Univ. Press, Princeton, NJ, (1991), 83-112.
3. J. BOURGAIN, Remarks on the Montgomery's conjectures on Dirichlet sums, Springer Lect. Notes in Math. 1469 (1991), 153-165.
4. L. CARLESON, Selected Problems on Exceptional Sets, D. van Nostrand Company, Inc., 1967.
5. M. CHRIST, Restriction of the Fourier transform to submanifolds of low codimension, Thesis, University of Chicago, 1982.
6. S.W. DRURY, Restriction of Fourier transforms to curves, Ann. Inst. Fourier, Grenoble, 35:1 (1985), 117-123.
7. C. FEFFERMAN, Inequalities for strongly singular integrals, Acta Math. 124 (1970), 9-36.
8. C. FEFFERMAN, A note on spherical summation, Israel J. Math. 15 (1973), 44-53.
9. C. FEFFERMAN, Fourier analysis, Proc. Symp. Pure Math., Amer. Math. Soc. XXVII (1976), 73-74.
10. J.P. KAHANE, Some Random Series of Functions, Cambridge University Press, 1985.
11. J.P. KAHANE, P.G. LEMARIE-RIEUSSET, Fourier Series and Wavelets, Gordon and Breach Publ., 1995.
12. R. KAUFMAN, On the theorem of Jarnik and Besicovitch, Acta Arithmetica 39 (1981), 265-267.
13. G. MOCKENHAUPT, Bounds in Lebesgue Spaces of Oscillatory Integrals, Habilitationschrift, Universität Siegen, 1996.
14. H. MONTGOMERY, Ten Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis, CBMS 84, AMS, 1994.
15. D. MÜLLER, A restriction theorem for the Heisenberg group, Ann. Math. 131:3 (1990), 567-587.
16. R. SALEM, On singular monotonic functions whose spectrum has a given Hausdorff dimension, Ark. Mat. 1 (1950), 353-365.
17. A. SEEGER, C.D. SOGGE, Bounds for eigenfunctions of differential operators, Indiana Univ. Math. J. 38:3 (1989), 669-682.
18. E.M. STEIN, Harmonic Analysis: Real-variable Methods, Orthogonality and Oscillatory Integrals, Princeton Math. Ser., 43, Princeton Univ. Press, 1993.
19. T.H. WOLFF, Recent work connected with the Kakeya problem, in "Prospects in Mathematics" (Princeton, NJ, 1996), AMS (1999), 129-162.
20. A. ZYGMUND, Trigonometric Series, Cambridge University Press, 1988.