Results 21 to 30 of about 214 (53)
Stochastic processes on totally disconnected topological groups
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 48, Page 3067-3089, 2003., 2003 Stochastic processes on totally disconnected topological groups are investigated. In particular, they are considered for diffeomorphism groups and loop groups of manifolds on non‐Archimedean Banach spaces. Theorems about a quasi‐invariance and a pseudodifferentiability of transition measures are proved. Transition measures are used for the construction
S. V. Ludkovsky
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Tauberian operators in p‐adic analysis
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 3, Page 149-162, 2000., 2000 In archimedean analysis Tauberian operators and operators having property N were defined by Kalton and Wilansky (1976). We give several characterizations of p‐adic Tauberian operators and operators having property N in terms of basic sequences. And, as its applications, we give some equivalent relations between these operators and p‐adic semi‐Fredholm ...
Takemitsu Kiyosawa
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Algebraic Approach to Colombeau Theory [PDF]
, 2013 We present a differential algebra of generalized functions over a field of generalized scalars by means of several axioms in terms of general algebra and topology.
Todorov, Todor D.
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Non‐archimedean Eberlein‐ mulian theory
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 637-642, 1996., 1995 It is shown that, for a large class of non‐archimedean normed spaces E, a subset X is weakly compact as soon as f(X) is compact for all f ∈ E′ (Theorem 2.1), a fact that has no analogue in Functional Analysis over the real or complex numbers. As a Corollary we derive a non‐archimedean version of the Eberlein‐ mulian Theorem (2.2 and 2.3, for the ...
T. Kiyosawa, W. H. Schikhof
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Complemented subspaces of p‐adic second dual Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 3, Page 437-442, 1995., 1993 Let K be a non‐archimedean non‐trivially valued complete field. In this paper we study Banach spaces over K. Some of main results are as follows: (1) The Banach space has an orthocomplemented subspace linearly homeomorphic to c0. (2) The Banach space has an orthocomplemented subspace linearly homeomorphic to l∞.
Takemitsu Kiyosawa
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Bernoulli type polynomials on Umbral Algebra
, 2011 The aim of this paper is to investigate generating functions for modification of the Milne-Thomson's polynomials, which are related to the Bernoulli polynomials and the Hermite polynomials. By applying the Umbral algebra to these generating functions, we
G Bretti +8 more
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Spectral properties of compact normal quaternionic operators
, 2014 General, especially spectral, features of compact normal operators in quaternionic Hilbert spaces are studied and some results are established which generalize well-known properties of compact normal operators in complex Hilbert spaces.
Ghiloni, Riccardo +2 more
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Fundamental solutions of pseudo-differential operators over p-adic fields [PDF]
, 2003 We show the existence of fundamental solutions for p-adic pseudo-differential operators with polynomial symbols.Comment: To appear in Rend. Sem. Mat.
Zuniga-Galindo, W. A.
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Construction of a set of p-adic distributions
, 2017 In this paper adapting to $p$-adic case some methods of real valued Gibbs measures on Cayley trees we construct several $p$-adic distributions on the set $\mathbb{Z}_p$ of $p$-adic integers.
Rozikov, U. A., Tugyonov, Z. T.
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Modeling and Stability Analysis of Time‐Dependent Free‐Fall Motion in Random Environments
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.This paper examines the stability of a fractional‐order model that describes the free‐fall motion of a football in changing environmental conditions. Traditional models often overlook memory effects and nonlocal influences like air resistance, humidity, and turbulence.
Alireza Hatami +4 more
wiley +1 more source