  Dark energy dominates the energy density of our Universe, yet we know very
little about its nature and origin. Although strong evidence in support of dark
energy is provided by the cosmic microwave background, the relic radiation of
the Big Bang, in conjunction with either observations of supernovae or of the
large scale structure of the Universe, the verification of dark energy by
independent physical phenomena is of considerable interest. We review works
that, through a wavelet analysis on the sphere, independently verify the
existence of dark energy by detecting the integrated Sachs-Wolfe effect. The
effectiveness of a wavelet analysis on the sphere is demonstrated by the highly
statistically significant detections of dark energy that are made. Moreover,
the detection is used to constrain properties of dark energy. A coherent
picture of dark energy is obtained, adding further support to the now well
established cosmological concordance model that describes our Universe.
