Results 11 to 20 of about 21 (21)
Infant Mental Health Journal: Infancy and Early Childhood, Volume 42, Issue 1, Page 21-34, January/February 2021., 2021 ABSTRACT Parental reflective functioning (PRF) is an important predictor of infant attachment, and interventions that target parent–infant/toddler dyads who are experiencing significant problems have the potential to improve PRF. A range of dyadic interventions have been developed over the past two decades, some of which explicitly target PRF as part ...
Jane Barlow +2 more
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The Jensen functional equation in non‐Archimedean normed spaces
Journal of Function Spaces, Volume 7, Issue 1, Page 13-24, 2009., 2009 We investigate the Hyers–Ulam–Rassias stability of the Jensen functional equation in non‐Archimedean normed spaces and study its asymptotic behavior in two directions: bounded and unbounded Jensen differences. In particular, we show that a mapping f between non‐Archimedean spaces with f(0) = 0 is additive if and only if ‖f(x+y2)−f(x)+f(y)2‖→0 as max ...
Mohammad Sal Moslehian, George Isac
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Stochastic processes and antiderivational equations on non‐Archimedean manifolds
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 31, Page 1633-1651, 2004., 2004 Stochastic processes on manifolds over non‐Archimedean fields and with transition measures having values in the field ℂ of complex numbers are studied. Stochastic antiderivational equations (with the non‐Archimedean time parameter) on manifolds are investigated.
S. V. Ludkovsky
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International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 42, Page 2673-2688, 2003., 2003 We investigate p‐adic completions of clopen (i.e., closed and open at the same time) subgroups W of loop groups and diffeomorphism groups G of compact manifolds over non‐Archimedean fields. We outline two different compactifications of loop groups and one compactification of diffeomorphism groups, describe associated finite groups in projective limits,
S. V. Ludkovsky, B. Diarra
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Stochastic processes on non‐Archimedean Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 21, Page 1341-1363, 2003., 2003 Non‐Archimedean analogs of Markov quasimeasures and stochastic processes are investigated. They are used for the development of stochastic antiderivations. The non‐Archimedean analog of the Itô formula is proved.
S. V. Ludkovsky
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Stochastic antiderivational equations on non‐Archimedean Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 41, Page 2587-2602, 2003., 2003 Stochastic antiderivational equations on Banach spaces over local non‐Archimedean fields are investigated. Theorems about existence and uniqueness of the solutions are proved under definite conditions. In particular, Wiener processes are considered in relation to the non‐Archimedean analog of the Gaussian measure.
S. V. Ludkovsky
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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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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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