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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Parametrizations of Titchmarsh's $ m(\lambda )$-functions in the limit circle case


Author: Charles T. Fulton
Journal: Trans. Amer. Math. Soc. 229 (1977), 51-63
MSC: Primary 34B20
MathSciNet review: 0450657
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Abstract: For limit-circle eigenvalue problems the so-called $ 'm(\lambda )'$-functions of Titchmarsh [15] are introduced in such a fashion that their parametrization is built into the definition.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1977-0450657-6
PII: S 0002-9947(1977)0450657-6
Keywords: Eigenfunction expansion, selfadjoint operator, boundary value problem, boundary conditions, end conditions, $ m(\lambda )$-function
Article copyright: © Copyright 1977 American Mathematical Society