ISSN:
1572-9036
Keywords:
Sobolev bilinear forms
;
orthogonal polynomials
;
symmetric differential operators
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Given the Sobolev bilinear form (f, g) S =〉u 0, f g〈 + 〉u 1, f " g "〈, with u 0 and u 1 linear functionals, a characterization of the linear second–order differential operators with polynomial coefficients, symmetric with respect to (⋅, ⋅) S in terms of u 0 and u 1 is obtained. In particular, several interesting functionals u 0 and u 1 are considered, recovering as particular cases of our study, results already known in the literature.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1006451324829
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