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Functional determinants for ordinary differential operators
Journal of Physics A: Mathematical and General, 1992Summary: We study the analytic properties of regularized functional determinants for ordinary differential operators. To this end a new regularization scheme is introduced. Relations between different approaches are analysed and the connection between the presence of divergent traces and regularization differences is discussed.
Gamboa Saraví, R. E. +2 more
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Semibounded Extensions of Singular Ordinary Differential Operators
Canadian Mathematical Bulletin, 1988AbstractThe self-adjoint extensions of the singular differential operator Ly = [(py’)’ + qy]/w, where p < 0, w > 0, q ≧ mw, are characterized under limit-circle conditions. It is shown that as long as the coefficients of certain boundary conditions define points which lie between two lines, the extension they help define has the same lower bound.
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Hecke Operators on Linear Ordinary Differential Equations
Acta Applicandae Mathematica, 1999The theory of automorphic forms and that of ordinary linear differential equations are closely related. Automorphic forms are common eigenforms of certain Hecke operators. Thus it is natural to consider the Hecke operators acting on the space of ordinary differential equations associated with automorphic forms.
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Self-adjoint commuting ordinary differential operators
Inventiones mathematicae, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Minimum Moduli of Ordinary Differential Operators
Proceedings of the London Mathematical Society, 1971Goldberg, S., Meir, A.
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Operator theory and ordinary differential operators
1995Aad Dijksma, Heinz Langer
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