2015/03/04 by Dejenie A. Lakew, Lakew, Dejenie A.
Computer Science · Engineering · Mathematics · #46E30 #46E35 #Algebraic and Geometric Analysis #Elasticity and Wave Propagation #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms
paper · pdf · doi:10.48550/arxiv.1503.01209
openalex publication_date 2015/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.