| Title:
|
Fourier inversion of distributions on projective spaces (English) |
| Author:
|
Vieli, Francisco Javier González |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
47 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
437-441 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that the Fourier-Laplace series of a distribution on the real, complex or quarternionic projective space is uniformly Ces\`aro-summable to zero on a neighbourhood of a point if and only if this point does not belong to the support of the distribution. (English) |
| Keyword:
|
distribution |
| Keyword:
|
projective space |
| Keyword:
|
Fourier-Laplace series |
| Keyword:
|
Ces\`aro summability |
| MSC:
|
42C10 |
| MSC:
|
46F12 |
| idZBL:
|
Zbl 1150.46015 |
| idMR:
|
MR2281005 |
| . |
| Date available:
|
2009-05-05T16:58:28Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119604 |
| . |
| Reference:
|
[1] Fomenko A.T.: Symplectic Geometry.Gordon and Breach Science Publishers, New York, 1988. Zbl 0873.58031, MR 0994805 |
| Reference:
|
[2] González Vieli F.J.: Fourier inversion of distributions on the sphere.J. Korean Math. Soc. 41 (2004), 755-772. Zbl 1066.46031, MR 2068151 |
| Reference:
|
[3] Hardy G.H.: Divergent Series.Clarendon Press, Oxford, 1949. Zbl 0897.01044, MR 0030620 |
| Reference:
|
[4] Helgason S.: Differential Geometry and Symmetric Spaces.Academic Press, New York, 1962. Zbl 0122.39901, MR 0145455 |
| Reference:
|
[5] Kahane J.-P., Salem R.: Ensembles parfaits et séries trigonométriques.Hermann, Paris, 1963. Zbl 0856.42001, MR 0160065 |
| Reference:
|
[6] Stein E.M., Weiss G.: Introduction to Fourier Analysis on Euclidean Spaces.Princeton University Press, Princeton, 1971. Zbl 0232.42007, MR 0304972 |
| Reference:
|
[7] Walter G.: Pointwise convergence of distribution expansions.Studia Math. 26 (1966), 143-154. Zbl 0144.37401, MR 0190624 |
| . |
