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The analytic continuation of the discrete series. II [PDF]

open access: yesTransactions of the American Mathematical Society, 1979
This is the second in a series of papers on the analytic continuation of the holomorphic discrete series. In this paper necessary and sufficient conditions for unitarizability are given in the case of line bundles. The foundations for the vector valued case are begun.
Nolan R. Wallach
openaire   +5 more sources

ACFlow: An open source toolkit for analytic continuation of quantum Monte Carlo data [PDF]

open access: yesComputer Physics Communications, 2022
The purpose of analytical continuation is to establish a real frequency spectral representation of single-particle or two-particle correlation function (such as Green's function, self-energy function, and dynamical susceptibilities) from noisy data ...
Li Huang
semanticscholar   +1 more source

Tidal response from scattering and the role of analytic continuation [PDF]

open access: yesPhysical Review D, 2021
The tidal response of a compact object is a key gravitational-wave observable encoding information about its interior. This link is subtle due to the nonlinearities of general relativity.
Gastón Creci, T. Hinderer, J. Steinhoff
semanticscholar   +1 more source

Analytic continuation from limited noisy Matsubara data [PDF]

open access: yesJournal of Computational Physics, 2022
This note proposes new algorithms for estimating spectral distribution from limited noisy Matsubara data. We consider both the cases of the spectral distribution with a sparse or a continuous support. In both cases, the proposed algorithm first constructs
Lexing Ying
semanticscholar   +1 more source

The Derivation of the Riemann Analytic Continuation Formula from the Euler’s Quadratic Equation

open access: yesJournal of Nigerian Society of Physical Sciences, 2022
The analysis of the derivation of the Riemann Analytic Continuation Formula from Euler’s Quadratic Equation is presented in this paper. The connections between the roots of Euler’s quadratic equation and the Analytic Continuation Formula of the Riemann ...
Opeyemi O. Enoch   +2 more
doaj   +1 more source

Rethinking jets with energy correlators: Tracks, resummation, and analytic continuation [PDF]

open access: yesPhysical Review D, 2020
We introduce an infinite set of jet substructure observables, derived as projections of $N$-point energy correlators, that both are convenient for experimental studies and maintain remarkable analytic properties derived from their representations in ...
Hao Chen   +3 more
semanticscholar   +1 more source

Analytic continuation of harmonic sums: Dispersion representation

open access: yesNuclear Physics B, 2022
We present a simple representation for analytically continued nested harmonic sums for the arbitrary complex arguments. This representation can be obtained for a wide range of nested harmonic sums from a precomputed database for the pole expressions of ...
V.N. Velizhanin
doaj   +1 more source

materialstheory/ml-analytic-continuation

open access: yes, 2022
This repository contains codes and some data for the machine learning for analytic continuation project. It uses a multi-level residual network to continue the DMFT Green's function to the spectral function as presented in the accompanying ...
Maximilian E. Merkel, Rong Zhang
core   +1 more source

Uniformization and Constructive Analytic Continuation of Taylor Series [PDF]

open access: yesCommunications in Mathematical Physics, 2020
We analyze the problem of global reconstruction of functions as accurately as possible, based on partial information in the form of a truncated power series at some point, and additional analyticity properties.
O. Costin, G. Dunne
semanticscholar   +1 more source

Analytic continuation and reciprocity relation for collinear splitting in QCD * [PDF]

open access: yes, 2020
It is well-known that direct analytic continuation of DGLAP evolution kernel (splitting functions) from space-like to time-like kinematics breaks down at three loops.
Hao Chen   +3 more
semanticscholar   +1 more source

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