Fourier analysis on groups

E1758399 UNEXPLORED

Fourier analysis on groups is the extension of classical Fourier analysis to functions defined on topological groups, using group representations and characters to decompose and study them.

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Pontryagin duality relatesConcept Fourier analysis on groups
Plancherel theorem for locally compact abelian groups assumes Fourier transform initially defined on L1(G) ∩ L2(G)
linked to: Fourier analysis on groups
Maschke’s theorem usedIn Fourier analysis on finite groups
linked to: Fourier analysis on groups