scholarly journals Displacement structures and fast inversion formulas for q-adic Vandermonde-like matrices

2005 ◽  
Vol 176 (1) ◽  
pp. 1-14 ◽  
Author(s):  
ZhengHong Yang ◽  
YongJian Hu
Keyword(s):  
Inversion Formulas ◽  
Fast Inversion

Erdélyi–Kober fractional integrals and radon transforms for mutually orthogonal affine planes

2020 ◽  
Vol 23 (4) ◽  
pp. 967-979
Author(s):  
Boris Rubin ◽  
Yingzhan Wang
Keyword(s):  
Fractional Integrals ◽  
Radon Transforms ◽  
Affine Planes ◽  
Inversion Formulas ◽  
Radial Functions ◽  
Compactly Supported ◽  
Radial Case ◽  
Compactly Supported Functions

AbstractWe apply Erdélyi–Kober fractional integrals to the study of Radon type transforms that take functions on the Grassmannian of j-dimensional affine planes in ℝn to functions on a similar manifold of k-dimensional planes by integration over the set of all j-planes that meet a given k-plane at a right angle. We obtain explicit inversion formulas for these transforms in the class of radial functions under minimal assumptions for all admissible dimensions. The general (not necessarily radial) case, but for j + k = n − 1, n odd, was studied by S. Helgason [8] and F. Gonzalez [4, 5] on smooth compactly supported functions.

scholarly journals Lagrange Inversion and Combinatorial Species with Uncountable Color Palette

2021 ◽  
Author(s):  
Sabine Jansen ◽  
Tobias Kuna ◽  
Dimitrios Tsagkarogiannis
Keyword(s):  
Lagrange Inversion ◽  
Inversion Formulas ◽  
Color Palette

AbstractWe prove a multivariate Lagrange-Good formula for functionals of uncountably many variables and investigate its relation with inversion formulas using trees. We clarify the cancellations that take place between the two aforementioned formulas and draw connections with similar approaches in a range of applications.

scholarly journals Fast inversion of Zeeman line profiles using central moments

2011 ◽  
Vol 535 ◽  
pp. A45 ◽  
Author(s):  
P. Mein ◽  
H. Uitenbroek ◽  
N. Mein ◽  
V. Bommier ◽  
M. Faurobert
Keyword(s):  
Line Profiles ◽  
Central Moments ◽  
Fast Inversion

Fast inversion of FTG data with an improved PCG algorithm

2017 ◽  
Author(s):  
Taihan Wang ◽  
Guoqing Ma ◽  
Ye Li ◽  
Zhang Dailei ◽  
Wenyue Zhou ◽  
...  
Keyword(s):  
Fast Inversion

Inversion formulas for cone transforms arising in application of Compton cameras

2015 ◽  
Vol 31 (1) ◽  
pp. 015006 ◽  
Author(s):  
Chang-Yeol Jung ◽  
Sunghwan Moon
Keyword(s):  
Inversion Formulas
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