Sobolev spaces on canonical Banach spaces and Fourier transformations

Resumen

In this article we discuss Sobolev spaces on canonical Banach spaces. The completeness of the Sobolev spaces is discussed in these settings. The Hilbert structure of the Sobolev spaces is also discussed. Finally, in application, we discuss the Fourier transform and its relevance for Sobolev spaces on canonical Banach spaces