Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1195.42053
Ashurov, Ravshan; Ahmedov, Anvarjon; Mahmud, Ahmad Rodzi B.
The generalized localization for multiple Fourier integrals. (English)
[J] J. Math. Anal. Appl. 371, No. 2, 832-841 (2010). ISSN 0022-247X

Authors' abstract: We investigate almost-everywhere convergence properties of the Bochner-Riesz means of $N$-fold Fourier integrals under summation over domains bounded by the level surfaces of the elliptic polynomials. It is proved that if the order of the Bochner-Riesz means $s \geqslant (N - 1)(1/p - 1/2)$, then the Bochner-Riesz means of a function $f \in L_p(\bbfR^N), 1 \leqslant p \leqslant 2$ converge to zero almost-everywhere on $\bbfR^N \setminus \mathrm{supp}(f)$.
[Włodzimierz Łenski (Poznań)]

MSC 2000:: *42B10 Fourier type transforms, several variables

Keywords: multiple Fourier integral; spectral expansions of elliptic differential operators; Bochner-Riesz means; the generalized localization

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]