On a theorem of Titchmarsh-Neumark-Walter concerning absolutely continuous operators - I: The abstract part

P. A. Rejto

doi:10.1007/BF00405586

On a theorem of Titchmarsh-Neumark-Walter concerning absolutely continuous operators - I: The abstract part

P. A. Rejto

School of Mathematics

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Abstract

We state and prove an extended version of a theorem of Titchmarsh-Neumark-Walter concerning absolutely continuous operators. Our proof is different, in fact, first we state a set of abstract criteria for absolute continuity. Then we illustrate how the JWKB-approximation method can be applied to verify this set of abstract criteria. This verification depends on detailed estimates that we shall prove in the second half of this paper.

Original language	English (US)
Pages (from-to)	49-56
Number of pages	8
Journal	Letters in Mathematical Physics
Volume	1
Issue number	1
DOIs	https://doi.org/10.1007/BF00405586
State	Published - Dec 1975

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On a theorem of Titchmarsh-Neumark-Walter concerning absolutely continuous operators - I: The abstract part

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