Fourier transform is defined almost everywhere for L2-functions

E2083619 UNEXPLORED

The statement "Fourier transform is defined almost everywhere for L2-functions" expresses the fundamental result that square-integrable functions on a suitable group possess a well-defined Fourier transform in the L2 sense, up to changes on sets of measure zero.

Try in SPARQL Jump to: Surface forms Referenced by

All labels observed (2)

Label	Occurrences
Fourier transform extends uniquely to all of L2(G)	1
Fourier transform is defined almost everywhere for L2-functions canonical	1

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Plancherel theorem for locally compact abelian groups → implies → Fourier transform is defined almost everywhere for L2-functions ⓘ

Plancherel theorem for locally compact abelian groups → conclusion → Fourier transform extends uniquely to all of L2(G) ⓘ

linked to: Fourier transform is defined almost everywhere for L2-functions