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The essential spectrum of a singular Sturm–Liouville operator |
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| Abstract: | In this paper we study the essential spectrum of the operator  is a positive absolutely continuous function on (0, 1) that resembles  for some  . We prove that the essential spectrum of  coincides with the essential spectrum of the operator  . |
| Keywords: | Singular Sturm– Liouville operator essential spectrum 34B08 34L05 34L40 |