Spherical harmonics and spherical averages of fourier transforms

Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova

Volumn 108, Issue , 2002, Pages 41-51

  Sjölin, Per ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

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[No Author keywords available]

Indexed keywords

EID: 84938596301     PISSN: 00418994     EISSN: 22402926     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. J. Bourgain, Hausdorff dimension and distance sets, Israel J. Math., 87 (1994), pp. 193-201.
2. P. Mattila, Spherical averages of Fourier transforms of measures with finite energy; dimension of intersections and distance sets, Mathematika, 34 (1987), pp. 207-228.
3. P. Mattila, Geometry of sets and measures in Euclidean spaces, Cambridge studies in advanced mathematics, 44, Cambridge University Press, 1995.
4. P. Sjölin, Estimates of spherical averages of Fourier transforms and dimensions of sets, Mathematika, 40 (1993), pp. 322-330.
5. P. Sjölin, Estimates of averages of Fourier transforms of measures with finite energy, Ann. Acad. Sci. Fenn. Math., 22 (1997), pp. 227-236.
6. P. Sjölin - F. Soria, Some remarks on restriction of the Fourier transform for general measures, Publicacions Matemàtiques, 43 (1999), pp. 655-664.
7. P. Sjölin - F. Soria, Estimates of averages of Fourier transforms with respect to general measures, Manuscript 2000.
8. E.M. Stein - G. Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton University Press, 1971.
9. T. Wolff, Decay of circular means of Fourier transforms of measures, Internat. Math. Res. Notices (1999), pp. 547-567.