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On Singular Points in the Approximate Development of the Perturbative Function

✍ Scribed by Frank Walker Reed


Book ID
123784618
Publisher
American Mathematical Society
Year
1909
Tongue
English
Weight
670 KB
Volume
10
Category
Article
ISSN
0002-9947

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## Abstract We prove that for any self‐adjoint operator __A__ in a separable Hilbert space ℋ︁ and a given countable set Ξ› = {__Ξ»__ ~__i__~ }~__i__ βˆˆβ„•~ of real numbers, there exist ℋ︁~–2~‐singular perturbations __Γƒ__ of __A__ such that Ξ› βŠ‚ __Οƒ__ ~__p__~ (__Γƒ__). In particular, if Ξ› = {__Ξ»__ ~1~,…, _