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The wavelet transform on spaces of type S

  • R. S. Pathak (a1) and S. K. Singh (a2)

Abstract

The continuous wavelet transform is studied on certain Gel'fand–Shilov spaces of type S. It is shown that, for wavelets belonging to the one type of S-space defined on R, the wavelet transform is a continuous linear map of the other type of the S-space into a space of the same type (latter type) defined on R × R+. The wavelet transforms of certain ultradifferentiable functions are also investigated.

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The wavelet transform on spaces of type S

  • R. S. Pathak (a1) and S. K. Singh (a2)

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