The concepts of Hilbert space, distribution, and mean convergence are combined to construct function spaces suitable for the analysis of differential operators. From the quantum-mechanical point of view, the elements or “points” in such a space are the wave functions that represent the states of a physical system.
KeywordsMean convergence quadraticalty integrable functions and distributions and their properties. Spaces of type L2,L1,Lp, Z∞, Lσ2 Fourier transforms and mollifiers in L2 spaces Sobolev spaces boundary values in Sobolev spaces
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