Resumen de Extensions of modulation-dilation Bessel Systems in L2 (R+)

Ya-Nan Li, Yun-Zhang Li

• Due to not being a group under addition, admits no traditional wavelet or Gabor frames. This paper addresses a class of modulation-dilation frames (-frames) for . We obtain a -transform matrix-based expression of adding generators to generate -tight frames from a -Bessel sequences in ; and present criteria on with being a Parseval frame (an orthonormal basis) for an arbitrary Parseval frame sequence (an orthonormal sequence) in . Some examples are also presented.