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

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.