Continuous wavelet transform on the space L~2(R~2,H;dx) by defining real valued inner product
Yafeng Li · Journal of Baoji University of Arts and Sciences · 2008
Aim To establish the Parseval's formula and reconstruction formula for the continuous wavelet transform on the space L2(R2,H;dx).Methods By using real valued inner product on H,L 2(R2,H;dx) was decomposed into the direct sum of the irreducible invariant subspaces and the characterization of the admissibility condition was given.Results This paper establish the Parseval's formula for the continuous wavelet transform on L2(R2,H;dx).Conclusion The inverse wavelet transform in the weak sense was get.