Ordinary Differential Operators Under Stieltjes Boundary Conditions
Open Access
- 1 October 1974
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 198, 73-92
- https://doi.org/10.2307/1996747
Abstract
The operator , whose domain is determined in part by the Stieltjes integral boundary condition , is studied in . It is shown that has a dense domain; hence there exists a dual operator operating on . After finding we show that both and are Fredholm operators. This implies some elementary results concerning the spectrum and states of . Finally two eigenfunction expansions are derived.Keywords
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