KHRENNIKOV, A. YU. - P-adic valued distributions in mathematical physics. Kluwer Academic Publ., Dordrecht, 1994. Home/Search Document Not in Database Summary Related Articles Check |
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Banach Spaces Over Nonarchimedean Valued Fields - Schikhof (1999) (Correct)
....the question as to whether at Planck distances ( 10 34 cm) space must be disordered or disconnected. He suggested the use of p adic numbers to build adequate mathematical models. It brought about a sequence of publications by several authors. See [79] Hamiltonian equations on p adic spaces) [29] (Cauchy problems, distribution theory, Fourier and Laplace transform) 30] p adic Quantum Mechanics and Hilbert spaces) for an impression of proposed applications of p adic analysis to theoretical physics. See also the forerunning papers [17] and [78] 2 Banach spaces 2.1 De nition and ....
A.Yu. Khrennikov, p-Adic valued distributions in mathematical physics, Kluwer Publishers, Dordrecht, 1994.
The non-Archimedian Laplace Transform - De Grande, De Kimpe, Khrennikov (1996) Self-citation (Khrennikov Yu) (Correct)
....is introduced and applied to the di#erential equations of nonarchimedean mathematical physics (Klein Gordon and Dirac propagators) Introduction. Last years a number of quantum models over non archimedean fields was proposed (quantum mechanics, field and string theory, see for example books [1,2] and references in these books) As usual, new physical formalisms generate new mathematical problems. In particular, a lot of di#erential equations with partial derivatives were introduced in connection with non archimedean mathematical physics (Schrodinger, Heisenberg, Klein Gordon, see ....
....and references in these books) As usual, new physical formalisms generate new mathematical problems. In particular, a lot of di#erential equations with partial derivatives were introduced in connection with non archimedean mathematical physics (Schrodinger, Heisenberg, Klein Gordon, see [1,2]. In the ordinary real and complex analysis, one of the most powerful tools to investigate equations with constant coe#cients are the Fourier and Laplace transforms. It is not a simple problem to introduce these transforms in the non archimedean case, see [3 7] There is a number of di#erent ....
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KHRENNIKOV, A. YU. - P-adic valued distributions in mathematical physics. Kluwer Academic Publ., Dordrecht, 1994.
The Measure-Theoretical Approach to P-Adic Probability.. - Khrennikov, Yamada, van.. (1998) Self-citation (Khrennikov) (Correct)
....Science University of Tokyo, Noda City, Chiba 278, Japan. Arnoud van Rooij Department of Mathematics, University of Nijmegen, 6525 ED Nijmegen, The Netherlands. November 6, 1998 1 Introduction The development of a non Archimedean (especially, p adic) mathematical physics [20] 22] 1] 4] 6] [8] [13] induced some new mathematical structures over non Archimedean fields. In particular, probability theory with p adic valued probabilities was developed in [11] 8] 4] 1 . The first theory with p adic probabilities was the frequency theory in which probabilities were defined as limits of ....
....6, 1998 1 Introduction The development of a non Archimedean (especially, p adic) mathematical physics [20] 22] 1] 4] 6] 8] 13] induced some new mathematical structures over non Archimedean fields. In particular, probability theory with p adic valued probabilities was developed in [11] [8], 4] 1 . The first theory with p adic probabilities was the frequency theory in which probabilities were defined as limits of relative frequencies N = n=N in the p adic topology 2 .This frequency probability theory was a natural extension of the frequency probability theory of R. von Mises ....
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Khrennikov, A.Yu. - p-adic valued distributions in mathematical physics. Kluwer Academic Publishers, Dordrecht (1994).
Learning of P-Adic Neural Networks - Khrennikov, Tirozzi (1999) (Correct)
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Khrennikov A.Yu. , p-adic valued distributions in mathematical physics. Kluwer Academic Publishers, Dordrecht (1994).
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