scholarly journals The Gaussian Transform of Distributions: Definition, Computation and Application

2006 ◽  
Vol 54 (8) ◽  
pp. 2976-2985 ◽  
Author(s):  
T.I. Alecu ◽  
S. Voloshynovskiy ◽  
T. Pun
Keyword(s):  
Gaussian Transform

STRONG-COUPLING REGIME IN $g\phi^4_2$ THEORY

2003 ◽  
Vol 18 (09) ◽  
pp. 1637-1656
Author(s):  
G. V. EFIMOV ◽  
G. GANBOLD
Keyword(s):  
Strong Coupling ◽  
Order Approximation ◽  
Main Idea ◽  
Strong Coupling Regime ◽  
Perturbation Scheme ◽  
Coupling Constant ◽  
Coupling Behavior ◽  
Gaussian Transform ◽  
Bare Coupling Constant ◽  
Higher Order Corrections

The problem of the strong-coupling regime is considered in the scalar superrenormalizable field theory [Formula: see text]. By using the Gaussian transform, we have found an optimal representation within which the exact strong-coupling behavior of the free energy is already obtained in the leading-order approximation. Within this representation, the interaction becomes slower as the bare coupling constant grows, so the higher-order corrections can be systematically estimated by using a modified perturbation scheme. The next-to-leading terms give rise in insignificant corrections for finite coupling. The regularization procedure regroups the initial counterterms so that the divergencies are exactly removed in final expressions. The main idea is demonstrated in the simplest examples of a plain quartic integral and the anharmonic oscillator.

scholarly journals Laguerre-Gaussian transform for rotating image processing

2020 ◽  
Vol 28 (18) ◽  
pp. 26898
Author(s):  
Dan Wei ◽  
Jiantao Ma ◽  
Tianxin Wang ◽  
Chuan Xu ◽  
Shining Zhu ◽  
...  
Keyword(s):  
Image Processing ◽  
Gaussian Transform
Sign in / Sign up

Export Citation Format

Share Document