Explicit commutative sequence space representations of function and distribution spaces on the real half-line

Abstract

We provide explicit commutative sequence space representations for classical function and distribution spaces on the real half-line. This is done by evaluating at the Fourier transforms of the elements of an orthonormal wavelet basis.

8 pages

References in corpus (2)

• Topological properties of convolutor spaces via the short-time Fourier transform
• Sequence space representations for spaces of smooth functions and distributions via Wilson bases