Results 21 to 30 of about 339 (176)
Pseudodifferential operators on ultrametric spaces and ultrametric wavelets [PDF]
Izvestiya: Mathematics, 2005 A family of orthonormal bases, the ultrametric wavelet bases, is introduced in quadratically integrable complex valued functions spaces for a wide family of ultrametric spaces. A general family of pseudodifferential operators, acting on complex valued functions on these ultrametric spaces is introduced.
Khrennikov, A. Yu., Kozyrev, S. V.
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Best Proximity Pairs in Ultrametric Spaces [PDF]
p-Adic Numbers, Ultrametric Analysis and Applications, 2021 In the present paper, we study the existence of best proximity pairs in ultrametric spaces. We show, under suitable assumptions, that the proximinal pair $(A,B)$ has a best proximity pair. As a consequence we generalize a well known best approximation result and we derive some fixed point theorems.
Chaira, Karim +2 more
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Lipschitz-Free Spaces Over Ultrametric Spaces [PDF]
Mediterranean Journal of Mathematics, 2015 The only change in the latest version is the second author's grant information. Question 1 from the previous version has been answered - see Remark 15 for the solution. Preprint was accepted in Mediterr.
Cúth, Marek, Doucha, Michal
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Computational Models for Ultrametric Spaces
Electronic Notes in Theoretical Computer Science, 1997 AbstractFor every ultrametric space, the set of closed balls of radius 0 or 2-n for some n, form an algebraic poset under reverse inclusion. If the ultrametric space is complete separable, then they form a Scott computational model for it. Conversely, every topological space with an algebraic computational model is a complete separable ultrametrizable ...
Bob Flagg, Ralph Kopperman
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On $\ast$-measure monads on the category of ultrametric spaces
Karpatsʹkì Matematičnì Publìkacìï, 2022 The functor of $\ast$-measures of compact support on the category of ultrametric spaces and non-expanding maps is introduced in the previous publication of the authors.
Kh.O. Sukhorukova, M.M. Zarichnyi
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Common Fixed Point Theorems of Multivalued Maps in Fuzzy Ultrametric Spaces
Journal of Mathematics, 2013 In the setting of fuzzy ultrametric spaces, we study common fixed point theorems of multivalued maps. Our results unify, extend, and generalize some related common fixed point theorems of the literature for both ultrametric spaces (Wang and Song (2013 ...
A. F. Sayed
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STRUCTURED CONDITION PSEUDOSPECTRA AND STRUCTURED ESSENTIAL CONDITION PSEUDOSPECTRA OF BOUNDED LINEAR OPERATORS ON ULTRAMETRIC BANACH SPACES [PDF]
Journal of Algebraic SystemsIn this paper, we introduce and study the structured condition pseudospectra and the structured essential condition pseudospectra of bounded linear operators on ultrametric Banach spaces.
Jawad Ettayb
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The space of ultrametric phylogenetic trees
Journal of Theoretical Biology, 2016 Minor changes. This version has been published in JTB.
Gavryushkin, Alex, Drummond, Alexei J.
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Some results on ultrametric 2-normed spaces
Researches in MathematicsIn this paper, we study the ultrametric 2-normed spaces and the ultrametric 2-Banach spaces. In particular, we establish some results on Cauchy sequences in ultrametric 2-normed spaces.
J. Ettayb
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Functionals, functors and ultrametric spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2014 We consider different classes of functionals defined on the set of continuous functions on ultrametric spaces. Similarly as in the case of probability measures, idempotent measures, max-min measures and upper semicontinuous capacities we endow the sets ...
Лидия Базилевич +2 more
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