Results 11 to 20 of about 77,070 (273)
Integrability of oscillatory functions on local fields: transfer principles [PDF]
, 2013 For oscillatory functions on local fields coming from motivic exponential functions, we show that integrability over $Q_p^n$ implies integrability over $F_p ((t))^n$ for large $p$, and vice versa.
Cluckers, Raf +2 more
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Generalized Feynman integrals via conditional Feynman integrals.
Michigan Mathematical Journal, 1993 The paper is a continuing exercise by the authors to arrive at the most generalized version of Feynman integrals studied by Cameron and his collaborators. The starting point is the Wiener integral \(\int_{C_ 0[0,T)} F(\lambda^{-1/2} Z(x,.)+\xi) (\lambda^{-1/2} Z(x,T)+\xi)m(dx)\) where \(Z\) is the Gaussian process \(Z(x,t)=\int^ t_ 0 h(s)dx(s)\) with \(
Chung, Dong Myung +2 more
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Operator-valued Feynman integrals via conditional Feynman integrals [PDF]
Pacific Journal of Mathematics, 1990 The authors define a ``conditional integral of Feynman'' which plays the same role as the conditional expectation with regard to the Wiener integral. Then they use a conditional integral to calculate the Feynman integrals (kind of operational integral of Feynman) of different functions. The proofs are carefully developed.
Chung, Dong Myung +2 more
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The Lanczos potential for Weyl-candidate tensors exists only in four dimensions [PDF]
, 2000 We prove that a Lanczos potential L_abc for the Weyl candidate tensor W_abcd does not generally exist for dimensions higher than four. The technique is simply to assume the existence of such a potential in dimension n, and then check the integrability ...
A. Höglund +9 more
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Framed Curve Families Induced by Real and Complex Coupled Dispersionless-Type Equations
Mathematics, 2023 In this study, we investigate coupled real and complex dispersionless equations for curve families, even if they have singular points. Even though the connections with the differential equations and regular curves were considered in various ways in the ...
Nikola Popović +3 more
doaj +1 more source
Integrability of dominated decompositions on three-dimensional manifolds [PDF]
, 2015 We investigate the integrability of two-dimensional invariant distributions (tangent sub-bundles) which arise naturally in the context of dynamical systems on 3-manifolds.
Luzzatto, S, Tureli, S, WAR, K
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On the Formal Integrability Problem for Planar Differential Systems
Abstract and Applied Analysis, 2013 We study the analytic integrability problem through the formal integrability problem and we show its connection, in some cases, with the existence of invariant analytic (sometimes algebraic) curves. From the results obtained, we consider some families of
Antonio Algaba +2 more
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Nuclear Physics B, 2020 In this work we develop two new (2+1) and (3+1)-dimensional KdV equations with constant and time-dependent coefficients. The integrability of each established equation is investigated via using the Painlevé test.
Abdul-Majid Wazwaz
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The The 1:-1:1 Resonance Integrable Problem for a Cubic Lotka-Volterra Systems.
Zanco Journal of Pure and Applied Sciences, 2019 This paper is devoted to investigate the integrability and linearizability problems around a singular point at the origin of a cubic three-dimensional Lotka-Volterra differential system with -resonance.
Hersh Mohammed Saber, Waleed H. Aziz
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On a structure satisfying FK−(−)K+1F=0
International Journal of Mathematics and Mathematical Sciences, 1996 In this paper we shall obtain certain results on the structure defined by F(K,−(−)K+1) and satisfying FK−(−)K+1F=0, where F is a non null tensor field of the type (1,1) Such a structure on an n-dimensional differentiable manifold Mn has been called F(K,−(
Lovejoy S. Das
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