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Green functions on the p-adic vector space

임경수|손진우
대한수학회 (The Korean Mathematical Society)|2005.10|대한수학회논문집 (Communications of the KMS)|제20권 제4호|pp. 657-669

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참고문헌

주제분류수학

초록

Abstract

Calculations of some integrals on the n-dimensional vector spaceover Bbb Q_p are useful in getting some other formulations of quantum mechanics and the field theory of p-adic mathematical physics. For reasons of these, we estimate several integrals. As an application, we derive some properties for the p-adic Green functions.

참고문헌 (19)

  1. "A. Kh. Bikulov paper Investigation of the p-adic Green function jour Teoret. Mat. Fiz."
  2. "Son paper On the p-adic spectral analysis and multiwavelet on L Bbb jour Int.", 2003 yr2003, pp.2619~2633 (2003)
  3. "Co paper The multidimensional p-adic Green function jour Proc.", 127, pp.685~694
  4. "J. Igusa book An introduction to the theory of local zeta functions bookinfo AMS", IP Studies in Advanced Mathematics, ~[DOI]
  5. "paper An asymptotic expansion of the p-adic Green function", 50, pp.229~242 (1998)
  6. "A. N. Kochubei paper On p-adic Green's functions jour Theoret. and Math. Phys.vol 96 yr1993 pages 854--865 endref"
  7. "On the asymptotics of p-adic Green functions jour Proc. Steklov Inst. Math. vol 203 yr1994 pages 105--113"
  8. "Pseudo-differential equations and stochastics over non-Archi-medean fields bookinfo Monographs and Textbooks in Pure and Applied Mathematics publ Marcel Dekker", Inc.
  9. "\paper p-adic Green functions and zeta functions jour Comment", 51, pp.79~97 (2002)
  10. "M. H. Taibleson Fourier analysis on local fields publ Princeton University Press University of Tokyo Press", Princeton
  11. "A. Kh. Bikulov paper Investigation of the p-adic Green function jour Teoret. Mat. Fiz."
  12. "On the p-adic spectral analysis and multiwavelet on L Bbb jour Int.", 2003, pp.2619~2633 (2003)
  13. "J. Igusa book An introduction to the theory of local zeta functions bookinfo AMS", IP Studies in Advanced Mathematics, ~[DOI]
  14. "paper An asymptotic expansion of the p-adic Green function.", 50, pp.229~242 (1998)
  15. "A. N. Kochubei paper On p-adic Green's functions jour Theoret. and Math. Phys.vol 96 yr1993 pages 854--865 endref"
  16. "On the asymptotics of p-adic Green functions jour Proc. Steklov Inst. Math. vol 203 yr1994 pages 105--113"
  17. "Pseudo-differential equations and stochastics over non-Archi-medean fields bookinfo Monographs and Textbooks in Pure and Applied Mathematics publ Marcel Dekker", 244 (2001), Inc.
  18. "paper p-adic Green functions and zeta functions jour Comment", 51, pp.79~97
  19. "M. H. Taibleson Fourier analysis on local fields publ Princeton University Press University of Tokyo Press", Princeton

관련 논문AI추천

On boundedness for complex valued functions on the $p$-adic vector space김민수, 손진우대한수학회 · 대한수학회논문집2006 · 제21권 제4호A note on p-adic invariant integral in the rings of p -adic integersTaekyun Kim장전수학회 · Advanced Studies in Contemporary Mathematics2006 · 제13권 제1호A distribution on ${\mathbb Z}_{p}$오장헌대한수학회 · 대한수학회논문집2007 · 제22권 제3호Some basic theorems of calculus on the field of p-adic numbers정필웅, Huanping Liu, Minggen Cui한국수학교육학회 · 이론수학과 교직수학2005 · 제12권 제2호Analytic properties of the q-Volkenborn integral on the ring ofp-adic integersMin-Soo KimJin-Woo Son대한수학회 · 대한수학회보2007 · 제44권 제1호A note on p -adic q -Euler measureH. Ozden, I. Cang？l, S.-H. Rim, Y. Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제14권 제2호

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