Results 11 to 20 of about 30,850 (254)
One-loop Feynman integrals with Carlson hypergeometric functions [PDF]
EPJ Web of Conferences, 2019 In this paper, we present analytic results for scalar one-loop two-, three-, four-point Feynman integrals with complex internal masses. The calculations are considered in general space-time dimension D for two- and three-point functions and D=4 for four ...
Phan Khiem Hong
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A note on approximation of continuous functions on normed spaces
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $X$ be a real separable normed space $X$ admitting a separating polynomial. We prove that each continuous function from a subset $A$ of $X$ to a real Banach space can be uniformly approximated by restrictions to $A$ of functions, which are analytic ...
M.A. Mytrofanov, A.V. Ravsky
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Fréchet quotients of spaces of real-analytic functions [PDF]
Studia Mathematica, 2003 The purpose of this article is to characterize the Fréchet spaces \(F\) which appear as a quotient of the space \(A(\Omega)\) of the complex valued real analytic functions defined on an open subset \(\Omega\) of \(\mathbb R^d\). The paper continues investigations of several authors about the structural theory of the space \(A(\Omega)\).
Domański, P., Frerick, L., Vogt, D.
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Symmetric polynomials on the Cartesian power of the real Banach space $L_\infty[0,1]$
Математичні Студії, 2020 We construct an algebraic basis of the algebra of symmetric (invariant under composition of the variable with any measure preserving bijection of $[0,1]$) continuous polynomials on the $n$th Cartesian power of the real Banach space $L_^{(\mathbb{R ...
T. Vasylyshyn, A. Zagorodnyuk
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Real-time diagram technique for instantonic systems
Journal of High Energy Physics, 2023 The Schwinger-Keldysh diagram technique is usually involved in the calculation of real-time in-in correlation functions. In the case of a thermal state, one can analytically continue imaginary-time Matsubara correlation functions to real times ...
Nikita Kolganov
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On Joint Universality in the Selberg–Steuding Class
Mathematics, 2023 The famous Selberg class is defined axiomatically and consists of Dirichlet series satisfying four axioms (Ramanujan hypothesis, analytic continuation, functional equation, multiplicativity).
Roma Kačinskaitė +2 more
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Deformations of real analytic functions and the natural stratification of the space of real analytic functions [PDF]
Nagoya Mathematical Journal, 1976 Let A be a real analytic set, M be a compact real analytic manifold and f : A × M → R be a real analytic function. Then we have a family of real analytic functions fa, a ∈ A, on M defined by fa(X) = f(a, x).
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Three-loop contributions to the ρ parameter and iterated integrals of modular forms
Journal of High Energy Physics, 2020 We compute fully analytic results for the three-loop diagrams involving two different massive quark flavours contributing to the ρ parameter in the Standard Model.
Samuel Abreu +3 more
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Hypercyclic composition operators on spaces of real analytic functions [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2012 AbstractWe study the dynamical behaviour of composition operatorsCϕdefined on spaces(Ω) of real analytic functions on an open subset Ω of ℝd. We characterize when such operators are topologically transitive, i.e. when for every pair of non-empty open sets there is an orbit intersecting both of them.
Bonet Solves, José Antonio +1 more
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(2, 2) Scattering and the celestial torus
Journal of High Energy Physics, 2021 Analytic continuation from Minkowski space to (2, 2) split signature spacetime has proven to be a powerful tool for the study of scattering amplitudes. Here we show that, under this continuation, null infinity becomes the product of a null interval with ...
Alexander Atanasov +4 more
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