On the Riesz Equisummability of Spectral Decompositions in the Classical and the Generalized Sense

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

Chapter Chapter 3 in Spectral Theory of Differential Operators, 1995, pp 197-252 from Springer

Abstract: Abstract In proving Theorem 2.3 (Section 2.2) we have established a uniform (on an arbitrary compact set of domain G) equiconvergence of the Riesz means of order s of two arbitrary self-adjoint nonnegative extensions of the Laplace operator in domain G for a finite-in-G function f(x) belonging to one of the four classes [Eq3] with order of differentiability α > (N- 1)/2-s, where 0 ≤ s

Keywords: Arbitrary Function; Spectral Function; Laplace Operator; Spectral Decomposition; Fourier Image (search for similar items in EconPapers)
Date: 1995
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DOI: 10.1007/978-1-4615-1755-9_3

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