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arXiv · 1503.01209

On Orthogonal Decomposition of a Hilbert Space

Dejenie A. Lakew
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Abstract

In this short article we show an orthogonal decomposition of a Hilbert space as a sum of null solutions of the first derivative and the first derivative of a traceless higher order Hilbert/Sobolev space. We define orthogonal projections and see some of its properties and show case some decomposition of elementary functions as corollaries.

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Dejenie A. Lakew. 2015-03-04. On Orthogonal Decomposition of a Hilbert Space. https://arxiv.org/abs/1503.01209

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