Absorbing Set Analysis of Codes from Affine Planes

2017 ◽  
pp. 154-162 ◽  
Author(s):  
Kathryn Haymaker
Keyword(s):  
Absorbing Set ◽  
Affine Planes

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 Sampled-Data Stabilization of Nonlinear Delay Systems With a Compact Absorbing Set

2015 ◽  
Vol 48 (12) ◽  
pp. 410-415 ◽  
Author(s):  
Iasson Karafyllis ◽  
Miroslav Krstic
Keyword(s):  
Delay Systems ◽  
Absorbing Set ◽  
Sampled Data ◽  
Nonlinear Delay

Approximation for minimum strongly connected dominating and absorbing set with routing-cost constraint in disk digraphs

2016 ◽  
Vol 10 (7) ◽  
pp. 1393-1401 ◽  
Author(s):  
Zhao Zhang ◽  
Joong-Lyul Lee ◽  
Weili Wu ◽  
Ding-Zhu Du
Keyword(s):  
Absorbing Set ◽  
Strongly Connected

Geometry in affine planes

2019 ◽  
pp. 118-129
Author(s):  
E. Sernesi
Keyword(s):  
Affine Planes
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