Spherical harmonics and spherical averages of Fourier transforms
Rendiconti del Seminario Matematico della Università di Padova, Volume 108 (2002), p. 41-51
@article{RSMUP_2002__108__41_0,
author = {Sj\"olin, Per},
title = {Spherical harmonics and spherical averages of Fourier transforms},
journal = {Rendiconti del Seminario Matematico della Universit\a di Padova},
publisher = {Seminario Matematico of the University of Padua},
volume = {108},
year = {2002},
pages = {41-51},
zbl = {1048.42013},
mrnumber = {1956428},
language = {en},
url = {http://www.numdam.org/item/RSMUP_2002__108__41_0}
}

Sjölin, Per. Spherical harmonics and spherical averages of Fourier transforms. Rendiconti del Seminario Matematico della Università di Padova, Volume 108 (2002) pp. 41-51. http://www.numdam.org/item/RSMUP_2002__108__41_0/`

[1] J. Bourgain, Hausdorff dimension and distance sets, Israel J. Math., 87 (1994), pp. 193-201. | MR 1286826 | Zbl 0807.28004

[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. | MR 933500 | Zbl 0645.28004

[3] P. Mattila, Geometry of sets and measures in Euclidean spaces, Cambridge studies in advanced mathematics, 44, Cambridge University Press, 1995. | MR 1333890 | Zbl 0819.28004

[4] P. Sjölin, Estimates of spherical averages of Fourier transforms and dimensions of sets, Mathematika, 40 (1993), pp. 322-330. | MR 1260895 | Zbl 0789.28006

[5] P. Sjölin, Estimates of averages of Fourier transforms of measures with finite energy, Ann. Acad. Sci. Fenn. Math., 22 (1997), pp. 227-236. | MR 1430401 | Zbl 0865.42007

[6] P. Sjölin - F. Soria, Some remarks on restriction of the Fourier transform for general measures, Publicacions Matemàtiques, 43 (1999), pp. 655-664. | MR 1744623 | Zbl 0958.42011

[7] P. Sjölin - F. Soria, Estimates of averages of Fourier transforms with respect to general measures, Manuscript 2000. | Zbl 1051.42011

[8] E.M. Stein - G. Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton University Press, 1971. | MR 304972 | Zbl 0232.42007

[9] T. Wolff, Decay of circular means of Fourier transforms of measures, Internat. Math. Res. Notices (1999), pp. 547-567. | MR 1692851 | Zbl 0930.42006