Results 21 to 30 of about 30,850 (254)
Spaces of Vector Valued Real Analytic Functions [PDF]
In this paper we study the spaces of weakly and strongly analytic functions with values in a locally convex topological vector space F and we look for conditions on F such that these two spaces (which are different in general) should coincide. In the case of vector valued C' functions and of vector valued holomorphic functions, Grothendieck proved (cf.
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Analytic sets of reals and the density function in the Cantor space [PDF]
31 pages.
A. Andretta, R. Camerlo
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Hadamard multipliers on spaces of real analytic functions
The authors' aim is to find criteria for global solvability of an Euler differential equation \[ \sum_{n=0}^{+\infty}a_n\theta^nf(t)=g(t),\quad t\in\mathbb{R},\,\,(a_n)_n\subset\mathbb{C}. \] Here, \(f,g\) are analytic functions on some open interval \(I\subset\mathbb{R}\). The main topic behind this theme is the notion of a multiplier. The fundamental
Domański, Paweł, Langenbruch, Michael
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A Discrete Limit Theorem for L-Functions of Elliptic Curves
In the paper, we prove the discrete limit theorem in the sense of the weak convergence of probability measures in the space of analytic on DV = {s ∈ C : 1 < σ < 3/2, |t| 0 be a fixed real number such that exp {2πk/h} is an irrational number for all k∈Z\{
Virginija Garbaliauskienė +1 more
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A machine learning pipeline for autonomous numerical analytic continuation of Dyson-Schwinger equations [PDF]
Dyson-Schwinger equations (DSEs) are a non-perturbative way to express n-point functions in quantum field theory. Working in Euclidean space and in Landau gauge, for example, one can study the quark propagator Dyson-Schwinger equation in the real and ...
Windisch Andreas +2 more
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On boundedness of the Hilbert transform on Marcinkiewicz spaces
We study boundedness properties of the classical (singular) Hilbert transform (Hf)(t) = p.v.1/π ∫R f(s)/(t − s) ds, acting on Marcinkiewicz spaces. The Hilbert transform is a linear operator which arises from the study of boundary values of the real and
N.T. Bekbayev, K.S. Tulenov
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Exact spin correlators of integrable quantum circuits from algebraic geometry
We calculate the correlation functions of strings of spin operators for integrable quantum circuits exactly. These observables can be used for the calibration of quantum simulation platforms.
Arthur Hutsalyuk, Yunfeng Jiang, Balazs Pozsgay, Hefeng Xu, Yang Zhang
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Geometric IR subtraction for final state real radiation
A scheme is proposed for the subtraction of soft and collinear divergences present in massless final state real emission phase space integrals. The scheme is based on a local slicing procedure which utilises the soft and collinear factorisation ...
Franz Herzog
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The three-dimensional problem of the theory of elasticity related to isotropic layer compression by normal load, distributed on a limited area, is solved by the method of initial functions (MIF).
G.N. Shirunov
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Nevanlinna analytic continuation for Migdal–Eliashberg theory
In this work, we present a method to reconstruct real-frequency properties from analytically continued causal Green’s functions within the framework of Migdal–Eliashberg (ME) theory for superconductivity.
D.M. Khodachenko +4 more
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