weyl decomposition
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L-Helmholtz-Weyl decomposition for three dimensional exterior domains

2021 ◽  
pp. 109144
Author(s):  
Matthias Hieber ◽  
Hideo Kozono ◽  
Anton Seyfert ◽  
Senjo Shimizu ◽  
Taku Yanagisawa
Keyword(s):  
Three Dimensional ◽  
Exterior Domains ◽  
Weyl Decomposition

The Helmholtz–Weyl decomposition of $$L^r$$ vector fields for two dimensional exterior domains

2020 ◽  
Author(s):  
Matthias Hieber ◽  
Hideo Kozono ◽  
Anton Seyfert ◽  
Senjo Shimizu ◽  
Taku Yanagisawa
Keyword(s):  
Vector Fields ◽  
Two Dimensional ◽  
Exterior Domains ◽  
Weyl Decomposition

The Helmholtz–Weyl decomposition

2016 ◽  
pp. 47-69
Author(s):  
James C. Robinson ◽  
Jose L. Rodrigo ◽  
Witold Sadowski
Keyword(s):  
Weyl Decomposition

scholarly journals Diffusive wavelets on groups and homogeneous spaces

2011 ◽  
Vol 141 (3) ◽  
pp. 497-520 ◽  
Author(s):  
Svend Ebert ◽  
Jens Wirth
Keyword(s):  
Fourier Transform ◽  
Lie Groups ◽  
Lie Group ◽  
Homogeneous Spaces ◽  
General Concept ◽  
Compact Groups ◽  
Compact Lie Group ◽  
Weyl Decomposition ◽  
Group Fourier Transform ◽  
Basic Ideas

We explain the basic ideas behind the concept of diffusive wavelets on spheres in the language of representation theory of Lie groups and within the framework of the group Fourier transform given by the Peter-Weyl decomposition of L2() for a compact Lie group . After developing a general concept for compact groups and their homogeneous spaces, we give concrete examples for tori, which reflect the situation on ℝn, and for 2 and 3 spheres.

A Helmholtz/Weyl Decomposition in Energy Space

2006 ◽  
Vol 83 (2) ◽  
pp. 105-111
Author(s):  
R. J. Weinacht
Keyword(s):  
Energy Space ◽  
Weyl Decomposition
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