Local zeta functions and fundamental solutions for pseudo-differential operators over p-adic fields

Author:

Zúñiga-Galindo W. A.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference38 articles.

1. S. Albeverio, A. Yu. Khrennikov and V. M. Shelkovich, Theory of p-Adic Distributions: Linear and Nonlinear Models, LondonMath. Soc. Lect. Note Ser. 370 (Cambridge Univ. Press, Cambridge, 2010).

2. S. Albeverio, A. Yu. Khrennikov and V. M. Shelkovich, “Harmonic analysis in the p-adic Lizorkin spaces: fractional operators, pseudo-differential equations, p-adic wavelets, Tauberian theorems,” J. Fourier Anal. App. 12(4), 393–425 (2006).

3. M. F. Atiyah, “Resolution of singularities and division of distributions,” Comm. Pure Appl. Math. 23, 145–150 (1970).

4. I. N. Bernstein, “Modules over the ring of differential operators: the study of fundamental solutions of equations with constant coefficients,” Func. Anal. Appl. 5(2), 1–16 (1972).

5. J. Denef, “Report on Igusa’s Local Zeta Function,” Séminaire Bourbaki 43 (1990–1991), exp. 741; Astérisque 201–202–203, 359–386 (1991). http://www.wis.kuleuven.ac.be/algebra/denef.html .

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