On summability of N-fold Fourier integrals corresponding to pseudodifferential operators

Author:

Ashurov Ravshan,Ahmedov Anvarjon

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference9 articles.

1. Alimov Sh.A.: On expanding continuous functions from Sobolev classes in eigenfunctions of Laplace operator. Sib. Math. J. 19, 507–517 (1979)

2. Alimov, Sh.A., Ashurov, A.A., Pulatov, A.K.: I. Multiple Fourier Series and Fourier Integrals, Commutative Harmonic Analysis, vol. IV, pp. 1–97. Springer, Berlin (1992)

3. Ashurov, R.R.: On the multiple fourier integrals of continuous functions from the sobolev spaces, Proceedings of the Advanced Technology International Congress, Kuala Lumpur, 3–5 November (2009)

4. Ashurov R.R., Butaev A.: On the Pinsky phenomenon. J. Fourier Anal. Appl. 16(5), 804–812 (2010)

5. Il’in V.A., Alimov Sh.A.: Conditions for the convergence of spectral decompositions that correspond to self-adjoint extensions of elliptic operators. V. Differ. Equ. 10, 360–377 (1974)

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