Spherical harmonics and spherical averages of Fourier transforms
Rendiconti del Seminario Matematico della Università di Padova, Tome 108 (2002), pp. 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},
     pages = {41--51},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {108},
     year = {2002},
     mrnumber = {1956428},
     zbl = {1048.42013},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_2002__108__41_0/}
}
TY  - JOUR
AU  - Sjölin, Per
TI  - Spherical harmonics and spherical averages of Fourier transforms
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2002
SP  - 41
EP  - 51
VL  - 108
PB  - Seminario Matematico of the University of Padua
UR  - http://www.numdam.org/item/RSMUP_2002__108__41_0/
LA  - en
ID  - RSMUP_2002__108__41_0
ER  - 
%0 Journal Article
%A Sjölin, Per
%T Spherical harmonics and spherical averages of Fourier transforms
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2002
%P 41-51
%V 108
%I Seminario Matematico of the University of Padua
%U http://www.numdam.org/item/RSMUP_2002__108__41_0/
%G en
%F RSMUP_2002__108__41_0
Sjölin, Per. Spherical harmonics and spherical averages of Fourier transforms. Rendiconti del Seminario Matematico della Università di Padova, Tome 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 | Zbl

[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 | Zbl

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

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

[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 | Zbl

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

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

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

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