Pseudo-Differential Operators in the p-Adic Lizorkin Space

Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M.
March 2006
AIP Conference Proceedings;2006, Vol. 826 Issue 1, p195
Academic Journal
The p-adic Lizorkin type spaces of test functions and distributions are introduced and a class of pseudo-differential operators on this spaces are constructed. The p-adic Lizorkin spaces are invariant under the above-mentioned pseudo-differential operators. This class of pseudo-differential operators contains the Taibleson fractional operators. Solutions of pseudo-differential equations are also constructed. © 2006 American Institute of Physics


Related Articles

  • Point on Curves Whose Coordinates are p-Adic U-Numbers. Menken, Hamza; Mamedov, Khanlar R. // AIP Conference Proceedings;2006, Vol. 826 Issue 1, p267 

    In the present paper it is shown that if a curve Γ in Qpn has parametrization by non constant rational functions with rational coefficients, then there exist infinitely many points on Γ whose coordinates are p-adic U-numbers. © 2006 American Institute of Physics

  • Aspects of p-Adic Non-Linear Functional Analysis. Glöckner, Helge // AIP Conference Proceedings;2006, Vol. 826 Issue 1, p237 

    The article provides an introduction to infinite-dimensional differential calculus over topological fields and surveys some of its applications, notably in the areas of infinite-dimensional Lie groups and dynamical systems. © 2006 American Institute of Physics

  • On Phase Transitions for p-Adic Potts Model with Competing Interactions on a Cayley Tree. Mukhamedov, F. M.; Rozikov, U. A.; Mendes, J. F. F. // AIP Conference Proceedings;2006, Vol. 826 Issue 1, p140 

    In the paper we consider three state p-adic Potts model with competing interactions on a Cayley tree of order two. We reduce a problem of describing of the p-adic Gibbs measures to the solution of certain recursive equation, and using it we will prove that a phase transition occurs if and only...

  • p-Adic Valuation of (12 + 21)...(n2 + 21)and Applications. Qiuyu Yin; Qianrong Tan; Yuanyuan Luo // Southeast Asian Bulletin of Mathematics;2015, Vol. 39 Issue 5, p747 

    Define Pn(a): = Πnk=1(k2 + a), where n and a are positive integers. Yang et al. proved that when 1 ≤ a ≤ 20, there are only finite n, such that Pn(a) is a square. In this paper, we study the p-adic valuation of Pn(21) for all primes p. We give explicit expression and bound of the...

  • Critical Exponents in p-Adic φ4-Model. Missarov, Moukadas D.; Stepanov, Roman G. // AIP Conference Proceedings;2006, Vol. 826 Issue 1, p129 

    We consider φ4-model with O(N)-symmetry in d-dimensional p-adic space using the approach of renormalized projection Hamiltonians. Critical exponents ν and η are calculated up to three orders of perturbation theory using two types of expansions: (4 - d)-expansion and (α -...

  • p-Adic and Adelic Cosmology: p-Adic Origin of Dark Energy and Dark Matter. Dragovich, Branko // AIP Conference Proceedings;2006, Vol. 826 Issue 1, p25 

    A brief review of p-adic and adelic cosmology is presented. In particular, p-adic and adelic aspects of gravity, classical cosmology, quantum mechanics, quantum cosmology and the wave function of the universe are considered. p-Adic worlds made of p-adic matters, which are different from real...

  • Infinitesimals in Nonstandard Analysis versus Infinitesimals in p-Adic Fields. Mijajlović, Žarko; Milošević; Perović, Aleksandar // AIP Conference Proceedings;2006, Vol. 826 Issue 1, p274 

    The article compares the fields of hyperreal numbers and p-adic numbers in regard to the infinitesimal notions, construction and related transfer techniques. Infinite quantities generally reflect certain non-Archimedean property of the underlying structure. The paper also discusses a variety of...

  • Newton�Hensel Interpolation Lifting. Avendano, Martin; Krick, Teresa; Pacetti, Ariel // Foundations of Computational Mathematics;Feb2006, Vol. 6 Issue 1, p81 

    The main result of this paper is a new version of Newton-Hensel lifting that relates to interpolation questions. It allows one to lift polynomials in Z[x] from information modulo a prime number p ? 2 to a power pk for any k, and its originality is that it is a mixed version that not only lifts...

  • Comparison of Karoubi's regulator and the p-adic Borel regulator. Tamme, Georg // Journal of K -- Theory;Jun2012, Vol. 9 Issue 3, p579 

    In this paper we prove the p-adic analogue of a result of Hamida [11], namely that the p-adic Borel regulator introduced by Huber and Kings for the K-theory of a p-adic number field equals Karoubi's p-adic regulator up to an explicit rational factor.


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics