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A joint generalization of Van Vleck's and Kannappan's equations on groups
-
Brahim Fadli
and
Samir Kabbaj
Published/Copyright:
June 16, 2015
Abstract
Let G be a group,
and let σ be an involutive automorphism on G.
We determine the complex-valued solutions
We wish to express our thanks to the referees for useful comments.
Received: 2015-4-28
Revised: 2015-6-2
Accepted: 2015-6-5
Published Online: 2015-6-16
Published in Print: 2015-7-1
© 2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Variations on a theorem of Beurling
- Dunkl harmonic analysis and fundamental sets of continuous functions on the unit sphere
- Boundary behavior of Green function for a parabolic equation in bounded domain
- On an explicit form of the Green function of the Robin problem for the Laplace operator in a circle
- Some properties of chain recurrent sets in a nonautonomous discrete dynamical system
- A joint generalization of Van Vleck's and Kannappan's equations on groups
Keywords for this article
Van Vleck's equation;
Kannappan's equation;
involutive automorphism;
group character
Articles in the same Issue
- Frontmatter
- Variations on a theorem of Beurling
- Dunkl harmonic analysis and fundamental sets of continuous functions on the unit sphere
- Boundary behavior of Green function for a parabolic equation in bounded domain
- On an explicit form of the Green function of the Robin problem for the Laplace operator in a circle
- Some properties of chain recurrent sets in a nonautonomous discrete dynamical system
- A joint generalization of Van Vleck's and Kannappan's equations on groups
