if Fourier series is the study of periodic ℝ→ℝ... • shapes, figures & forms

Posted on Saturday, 10 August 2013

if Fourier series is the study of periodic ℝ→ℝ functions, that is, ℝ→ℝ functions which are invariant under the group of integer translations, then abstract harmonic analysis is the study of functions on general topological groups which are invariant under a (closed) subgroup.

Dave Rusin

(Source: math.niu.edu)

26 notes

ginnungagap-einherjar reblogged this from isomorphismes
hm0880 liked this
qtheprogram-blog liked this
spherical-harmonics reblogged this from isomorphismes
math-a-magic liked this
riemannsphere liked this
mathochism liked this
contemplatingmadness reblogged this from isomorphismes
feenex reblogged this from isomorphismes
feenex liked this
hyzenthlay-of-inle reblogged this from isomorphismes
hyzenthlay-of-inle liked this
redcloud-reblogs reblogged this from isomorphismes
cab1729 liked this
redcloud liked this
eminimethods liked this
hydaelyns-number-one-fan liked this
meklarian liked this
nevermindjustbreathe-blog liked this
isomorphismes posted this