The problems of the non-Archimedean analysis generated by quantum physics

A.Yu Khrennikov

Annales mathématiques Blaise Pascal (1995)

  • Volume: 2, Issue: 1, page 181-190
  • ISSN: 1259-1734

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Khrennikov, A.Yu. "The problems of the non-Archimedean analysis generated by quantum physics." Annales mathématiques Blaise Pascal 2.1 (1995): 181-190. <http://eudml.org/doc/79113>.

@article{Khrennikov1995,
author = {Khrennikov, A.Yu},
journal = {Annales mathématiques Blaise Pascal},
keywords = {-adic Gauss distributions; nonarchimedean Hilbert spaces},
language = {eng},
number = {1},
pages = {181-190},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {The problems of the non-Archimedean analysis generated by quantum physics},
url = {http://eudml.org/doc/79113},
volume = {2},
year = {1995},
}

TY - JOUR
AU - Khrennikov, A.Yu
TI - The problems of the non-Archimedean analysis generated by quantum physics
JO - Annales mathématiques Blaise Pascal
PY - 1995
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 2
IS - 1
SP - 181
EP - 190
LA - eng
KW - -adic Gauss distributions; nonarchimedean Hilbert spaces
UR - http://eudml.org/doc/79113
ER -

References

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  12. 12. Khrennikov A.Yu.Generalized functions and Gaussian functional integrals with respect to non-Archimedean functional spaces. Izv. Akad. Nauk SSSR, Ser. Mat., 55, No. 4, 780-814 (1991). Zbl0755.46047MR1137586
  13. 13. Khrennikov A.Yu. Endo M. , The unboundedness of the p-adic Gaussian distribution. Izv. Akad. Nauk SSSR, Ser. Mat. . 56. No. 4, 456-476 (1992). 
  14. 14. Khrennikov A.Yu. , Axiomatics of the p-adic theory of probabilities. Dokl. Acad. Nauk SSSR, sr. Matem., 326, No. 5, 1075-1079 (1992). MR1198776
  15. 15. Khrennikov A.Yu. , p-adic quantum mechanics with p-adic valued functions. J. Math. Phys., 32. No. 4, 932-937 (1991). Zbl0746.46067MR1097779
  16. 16. Khrennikov A.Yu. , p-adic valued distributions in mathematical physics , Kluwer Academic Publ. , Dordrecht, 1994 Zbl0833.46061MR1325924
  17. 17. Cianci R. and Khrennikov A.Yu. , p-adic superanalysis, 1. Infinitely generated Banach superalgebras and algebraic groups. J. Math. Phys., 34. No. 5, 1995-1999, (1993). Zbl0809.46091MR1214503
  18. 18. Cianci R. and Khrennikov A.Yu. , Can p-adic numbers be useful to regularize divergent expectation values of quantum observables ? Preprint, Depart. Math., Univ. Genova, November (1993). To be published in Int. J. of Theor. Phys., 1994. Zbl0842.60096MR1285249
  19. 19. Khrennikov A.Yu. , Generalized functions with non-Archimedean values and their applications to quantum mechanics and field theory. Analysis-3, Modern Mathematics and its Applications , VINITI, Moscow (1993) . 
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