On spin scale-discretised wavelets on the sphere for the analysis of CMB   polarisation
  A new spin wavelet transform on the sphere is proposed to analyse the polarisation of the cosmic microwave background (CMB), a spin $\pm 2$ signal observed on the celestial sphere. The scalar directional scale-discretised wavelet transform on the sphere is extended to analyse signals of arbitrary spin. The resulting spin scale-discretised wavelet transform probes the directional intensity of spin signals. A procedure is presented using this new spin wavelet transform to recover E- and B-mode signals from partial-sky observations of CMB polarisation. 
Jason D. McEwen, Martin B\"uttner, Boris Leistedt, Hiranya V. Peiris,   Pierre Vandergheynst, Yves Wiaux
astro-ph.IM astro-ph.CO cs.IT math.IT