abstract harmonic analysis

Noun

 * 1)  A branch of harmonic analysis dealing with generalised Fourier transforms that act on functions defined on Hausdorff locally compact topological groups.
 * 2) * 1970, Edwin Hewitt, Kenneth A. Ross, Abstract Harmonic Analysis: Volume II: Structure and Analysis for Compact Groups; Analysis on Locally Compact Abelian Groups, Springer, 2nd reprint, 2002, page 547,
 * W IENER  [1] goes well beyond analysis of periodic functions on $$R$$ or even functions in $$\mathfrak{L}_2(R)$$; this important paper has yet to be interpreted and assimilated into the standard repertory of abstract harmonic analysis.

Translations

 * Italian: analisi armonica astratta