Exploring the Complex Plane: Green'S Functions, Hilbert Transforms, and Analytic Continuation

1993 ◽  
Vol 7 (4) ◽  
pp. 388 ◽  
Author(s):  
Prabhakar P. Singh ◽  
William J. Thompson
Keyword(s):  
Analytic Continuation ◽  
Complex Plane ◽  
Green's Functions ◽  
Green’S Functions ◽  
Hilbert Transforms

Analytic continuation of Matsubara Green's functions

1998 ◽  
Vol 63 (1-3) ◽  
pp. 655-657 ◽  
Author(s):  
E.G. Klepfish ◽  
C.E. Creffield ◽  
E.R. Pike
Keyword(s):  
Analytic Continuation ◽  
Green's Functions ◽  
Green’S Functions

Green’s Functions for a Point Load and Dislocation in an Annular Region

1991 ◽  
Vol 58 (4) ◽  
pp. 954-959 ◽  
Author(s):  
R. E. Worden ◽  
L. M. Keer
Keyword(s):  
Analytic Continuation ◽  
Rigid Inclusion ◽  
Green's Functions ◽  
Green’S Functions ◽  
Point Load ◽  
Annular Region ◽  
Two Dimensional

This paper contains an analysis of a two-dimensional annular region whose inner boundary is that of either a hole or a perfectly bonded, rigid inclusion. Fast-converging Green’s functions for a point load or a dislocation on the annulus are determined using analytic continuation across the boundaries of the annulus.

scholarly journals Bayesian parametric analytic continuation of Green's functions

2019 ◽  
Vol 100 (7) ◽  
Author(s):  
Michael Rumetshofer ◽  
Daniel Bauernfeind ◽  
Wolfgang von der Linden
Keyword(s):  
Analytic Continuation ◽  
Green's Functions ◽  
Green’S Functions

THE CHIRALLY SPLIT DIFFEOMORPHISM ANOMALY AND THE μ-HOLOMORPHIC PROJECTIVE CONNECTION

2000 ◽  
Vol 15 (06) ◽  
pp. 417-427 ◽  
Author(s):  
M. KACHKACHI ◽  
O. DAFOUNANSOU ◽  
A. El RHALAMI
Keyword(s):  
General Expression ◽  
Complex Plane ◽  
Green's Functions ◽  
Green’S Functions ◽  
Cauchy Kernel ◽  
Projective Connection ◽  
The Relationship

The relationship between the μ-holomorphic projective connection and the action ΓII necessary to write down the chirally split diffeomorphism anomaly when it is shifted to the Weyl anomaly is given. Then, using the [Formula: see text]-Cauchy kernel on the complex plane to solve the μ-holomorphic projective connection equation, we get the general expression for this type of projective connection. This enables us to compute the Green's functions contribution of the action ΓII to the shifting scheme.

A New Numerical Algorithm for the Analytic Continuation of Green's Functions

1996 ◽  
Vol 126 (1) ◽  
pp. 99-108 ◽  
Author(s):  
Vincent D. Natoli ◽  
Morrel H. Cohen ◽  
Bengt Fornberg
Keyword(s):  
Analytic Continuation ◽  
Numerical Algorithm ◽  
Green's Functions ◽  
Green’S Functions
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