Fundamental solutions of pseudo-differential operators over p -adic fields

W. A. Zuniga-Galindo

Rendiconti del Seminario Matematico della Università di Padova (2003)

  • Volume: 109, page 241-245
  • ISSN: 0041-8994

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Zuniga-Galindo, W. A.. "Fundamental solutions of pseudo-differential operators over $p$-adic fields." Rendiconti del Seminario Matematico della Università di Padova 109 (2003): 241-245. <http://eudml.org/doc/108602>.

@article{Zuniga2003,
author = {Zuniga-Galindo, W. A.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {241-245},
publisher = {Seminario Matematico of the University of Padua},
title = {Fundamental solutions of pseudo-differential operators over $p$-adic fields},
url = {http://eudml.org/doc/108602},
volume = {109},
year = {2003},
}

TY - JOUR
AU - Zuniga-Galindo, W. A.
TI - Fundamental solutions of pseudo-differential operators over $p$-adic fields
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2003
PB - Seminario Matematico of the University of Padua
VL - 109
SP - 241
EP - 245
LA - eng
UR - http://eudml.org/doc/108602
ER -

References

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  2. [2] I. N. BERNSTEIN - S. I. GELFAND, Meromorphic property of the functions Pl , Functional Anal. Appl., 3 (1969), pp. 68-69. Zbl0258.57006MR247457
  3. [3] IGUSA JUN-ICHI, An introduction to the theory of local zeta functions, AMS/IP studies in advanced mathematics, v. 14, 2000. Zbl0959.11047MR1743467
  4. [4] J. IGUSA, Complex powers and asymptotic expansions, I Crelles J. Math., 268/269 (1974), pp. 110-130; II, ibid., 278/279 (1975), pp. 357-368. Zbl0287.43007MR347753
  5. [5] Y. JANG, An asymptotic expansion of the p-adic Green function, Tohoku Math. J., 50 (1998), pp. 229-242. Zbl0917.11059MR1622066
  6. [6] A. N. KOCHUBEI, Pseudodifferential equations and stochastics over nonarchimedean fields, Marcel Dekker, 2001. Zbl0984.11063MR1848777
  7. [7] A. N. KOCHUBEI, Fundamental solutions of pseudo-differential equations associated with p-adic quadratic forms, Izvestiya Math., 62 (1998), pp. 1169-1188. Zbl0934.35218MR1680862
  8. [8] A. KHRENNIKOV, Fundamental solutions over the field of p-adic numbers, St. Peterburgh Math. J., 4 (1993), pp. 613-628. Zbl0828.35003MR1190780
  9. [9] FUMIHIRO SATO, p-adic Green functions and zeta functions, Commentarii Mathematici Universitatis Sancti Pauli, 51 (2002), pp. 79-97. Zbl1004.11067MR1916017
  10. [10] V. S. VLADIMIROV, On the spectrum of some pseudo-differential operators over p-adic number field, Algebra and Analysis, 2 (1990), pp. 107-124. Zbl0727.47042MR1092528
  11. [11] V. S. VLADIMIROV - I. V. VOLOVICH - E. I. ZELENOV, p-adic Analysis and mathematical physics, World Scientific, Singapore, 1994. Zbl0812.46076MR1288093
  12. [12] A. WEIL, Sur la formule de Siegel dans le théorie des groupes classiques, Acta Math., 113 (1965), pp. 1-87. Zbl0161.02304MR223373

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