@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://archive.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://archive.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://archive.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://archive.numdam.org/item/RSMUP_2002__108__41_0/
[1] Hausdorff dimension and distance sets, Israel J. Math., 87 (1994), pp. 193-201. | MR | Zbl
,[2] 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] Geometry of sets and measures in Euclidean spaces, Cambridge studies in advanced mathematics, 44, Cambridge University Press, 1995. | MR | Zbl
,[4] Estimates of spherical averages of Fourier transforms and dimensions of sets, Mathematika, 40 (1993), pp. 322-330. | MR | Zbl
,[5] Estimates of averages of Fourier transforms of measures with finite energy, Ann. Acad. Sci. Fenn. Math., 22 (1997), pp. 227-236. | MR | Zbl
,[6] Some remarks on restriction of the Fourier transform for general measures, Publicacions Matemàtiques, 43 (1999), pp. 655-664. | MR | Zbl
- ,[7] Estimates of averages of Fourier transforms with respect to general measures, Manuscript 2000. | Zbl
- ,[8] Introduction to Fourier analysis on Euclidean spaces, Princeton University Press, 1971. | MR | Zbl
- ,[9] Decay of circular means of Fourier transforms of measures, Internat. Math. Res. Notices (1999), pp. 547-567. | MR | Zbl
,