Spectral Decompositions Corresponding to an Arbitrary Self-Adjoint Nonnegative Extension of the Laplace Operator

V. A. Il’in
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V. A. Il’in: Moscow State University

Chapter Chapter 2 in Spectral Theory of Differential Operators, 1995, pp 83-196 from Springer

Abstract: Abstract In this chapter we establish exact conditions for the convergence of the spectral decompositions corresponding to an arbitrary self-adjoint nonnegative extension of the Laplace operator in the domain G (not necessarily a bounded one) of the space EN.

Keywords: Spectral Function; Laplace Operator; Uniform Convergence; Spectral Decomposition; Remainder Term (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-1755-9_2

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DOI: 10.1007/978-1-4615-1755-9_2

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