Sobolev spaces on canonical Banach spaces and Fourier transformations

Hemanta Kalita

doi:10.5269/bspm.70666

Hemanta Kalita Assam Don Bosco University

Abstract

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

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