Drexel University

Math Colloquium: Fourier Analysis on Non-Abelian Topological Groups

Abstract: Fourier transform and its analogues are the cornerstone of classical harmonic analysis. To generalize the concept of Fourier transform to non-Abelian groups, the modern field of ...
JSTOR Daily

GENERALIZATION OF A THEOREM OF BOGOLIOÙBOFF TO TOPOLOGICAL ABELIAN GROUPS: WITH AN APPENDIX ON BANACH MEAN VALUES IN NON-ABELIAN GROUPS

The following theorem is proved. Let G be a topological abelian group and E a subset of G for which there exist k elements a1,..., ak such that (E+a1) ⋃ ... ⋃ (E+ak) = G. Let further V be a ...
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Researchers experimentally realize non-Abelian permutations in an acoustic system

This study is led by Dr. Guancong Ma (Department of Physics, Hong Kong Baptist University, Kowloon Tong, Hong Kong, China) and Dr. Kun Ding (Department of Physics, Fudan University, Shanghai 200438, ...
JSTOR Daily

A Combinatorial Theorem in Group Theory

There is an anti-Ramsey theorem for inhomogeneous linear equations over a field, which is essentially due to R. Rado [2]. This theorem is generalized to groups to get sharper quantitative and ...