Spherical harmonics and spherical averages of Fourier transforms

Per Sjölin

Rendiconti del Seminario Matematico della Università di Padova (2002)

  • Volume: 108, page 41-51
  • ISSN: 0041-8994

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Sjölin, Per. "Spherical harmonics and spherical averages of Fourier transforms." Rendiconti del Seminario Matematico della Università di Padova 108 (2002): 41-51. <http://eudml.org/doc/108592>.

@article{Sjölin2002,
author = {Sjölin, Per},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Fourier transforms; spherical averages},
language = {eng},
pages = {41-51},
publisher = {Seminario Matematico of the University of Padua},
title = {Spherical harmonics and spherical averages of Fourier transforms},
url = {http://eudml.org/doc/108592},
volume = {108},
year = {2002},
}

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
PB - Seminario Matematico of the University of Padua
VL - 108
SP - 41
EP - 51
LA - eng
KW - Fourier transforms; spherical averages
UR - http://eudml.org/doc/108592
ER -

References

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  1. [1] J. BOURGAIN, Hausdorff dimension and distance sets, Israel J. Math., 87 (1994), pp. 193-201. Zbl0807.28004MR1286826
  2. [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. Zbl0645.28004MR933500
  3. [3] P. MATTILA, Geometry of sets and measures in Euclidean spaces, Cambridge studies in advanced mathematics, 44, Cambridge University Press, 1995. Zbl0819.28004MR1333890
  4. [4] P. SJÖLIN, Estimates of spherical averages of Fourier transforms and dimensions of sets, Mathematika, 40 (1993), pp. 322-330. Zbl0789.28006MR1260895
  5. [5] P. SJÖLIN, Estimates of averages of Fourier transforms of measures with finite energy, Ann. Acad. Sci. Fenn. Math., 22 (1997), pp. 227-236. Zbl0865.42007MR1430401
  6. [6] P. SJÖLIN - F. SORIA, Some remarks on restriction of the Fourier transform for general measures, Publicacions Matemàtiques, 43 (1999), pp. 655-664. Zbl0958.42011MR1744623
  7. [7] P. SJÖLIN - F. SORIA, Estimates of averages of Fourier transforms with respect to general measures, Manuscript 2000. Zbl1051.42011
  8. [8] E.M. STEIN - G. WEISS, Introduction to Fourier analysis on Euclidean spaces, Princeton University Press, 1971. Zbl0232.42007MR304972
  9. [9] T. WOLFF, Decay of circular means of Fourier transforms of measures, Internat. Math. Res. Notices (1999), pp. 547-567. Zbl0930.42006MR1692851

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