Variance Properties of Local Polynomials and Ensuing Modifications

1996 ◽  
pp. 50-79 ◽  
Author(s):  
Burkhardt Seifert ◽  
Theo Gasser
Keyword(s):  
Local Polynomials

scholarly journals Central L‐values of elliptic curves and local polynomials

2019 ◽  
Vol 120 (5) ◽  
pp. 742-769
Author(s):  
Stephan Ehlen ◽  
Pavel Guerzhoy ◽  
Ben Kane ◽  
Larry Rolen
Keyword(s):  
Elliptic Curves ◽  
Local Polynomials

Surface Fitting by Orthogonal Local Polynomials

1977 ◽  
Vol 19 (4) ◽  
pp. 257-264 ◽  
Author(s):  
P. F. Czeglédy
Keyword(s):  
Surface Fitting ◽  
Local Polynomials

A NOTE ON THE AVERAGING TECHNIQUE IN SU(N) GAUGE THEORY

2002 ◽  
Vol 17 (19) ◽  
pp. 1277-1280
Author(s):  
WEI-MIN SUN ◽  
FAN WANG
Keyword(s):  
Gauge Theory ◽  
Gauge Group ◽  
Gauge Potential ◽  
Averaging Technique ◽  
Local Gauge ◽  
Local Polynomials ◽  
Group Measure

In this paper we apply the averaging technique (using a right-invariant local gauge group measure) to local polynomials of the SU (N) gauge potential [Formula: see text] and show that the results are divergent and ill-defined.

Goodness-of-fit test for linear models based on local polynomials

1999 ◽  
Vol 42 (1) ◽  
pp. 39-46 ◽  
Author(s):  
J.T. Alcalá ◽  
J.A. Cristóbal ◽  
W. González-Manteiga
Keyword(s):  
Goodness Of Fit ◽  
Linear Models ◽  
Goodness Of Fit Test ◽  
Local Polynomials

scholarly journals Modular local polynomials

2016 ◽  
Vol 23 (4) ◽  
pp. 973-987 ◽  
Author(s):  
Kathrin Bringmann ◽  
Ben Kane
Keyword(s):  
Local Polynomials

Modelling forces of infection by using monotone local polynomials

2003 ◽  
Vol 52 (4) ◽  
pp. 469-485 ◽  
Author(s):  
Ziv Shkedy ◽  
Marc Aerts ◽  
Geert Molenberghs ◽  
Philippe Beutels ◽  
Pierre Van Damme
Keyword(s):  
Local Polynomials

scholarly journals Scalable Classification of Repetitive Time Series Through Frequencies of Local Polynomials

2015 ◽  
Vol 27 (6) ◽  
pp. 1683-1695 ◽  
Author(s):  
Josif Grabocka ◽  
Martin Wistuba ◽  
Lars Schmidt-Thieme
Keyword(s):  
Time Series ◽  
Local Polynomials ◽  
Scalable Classification

scholarly journals Local polynomials and the Montel theorem

2014 ◽  
Vol 89 (2) ◽  
pp. 329-338 ◽  
Author(s):  
Jose Maria Almira ◽  
László Székelyhidi
Keyword(s):  
Local Polynomials

Renormalization of local polynomials. Short-distance expansion (SDE)

2021 ◽  
pp. 240-257
Author(s):  
Jean Zinn-Justin
Keyword(s):  
Short Distance ◽  
Time Correlation ◽  
Large Momentum ◽  
Leading Order ◽  
Field Equations ◽  
Local Polynomials ◽  
Point Splitting ◽  
Short Distance Expansion ◽  
Local Operators ◽  
The Fourier Transform

This chapter discusses two related topics: the renormalization of local polynomials (or local operators) of the field, and the short-distance expansion (SDE) of the product of local operators, in space dimension 4 for simplicity. Both problems are related, since one can consider the insertion of a product of operators at different point as a regularization by point splitting of the product at the same points. Therefore, in the limit of coinciding points, one expects that the product is dominated by a linear combination of the local operators which appear in the renormalization of the product, with singular coefficients, functions of the separation, replacing the usual cut-off dependent renormalization constants. We first discuss the renormalization of local polynomials is first discussed from the viewpoint of power counting. Callan–Symanzik (CS) equations are derived for the insertion of operators of dimension 4 in the φ4 quantum field theory (QFT). Field equations are shown to imply linear relations between operators. The existence of a SDE for the product of two basic fields is established. A CS equation is derived for the Fourier transform of the coefficient of the expansion at leading order. The generalization of this analysis to the SDE beyond leading order, to the SDE of arbitrary operators and to the light-cone expansion (LCE), which appears in the study of the large momentum behaviour of real-time correlation function, are briefly discussed.

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