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- W2032922003 abstract "Product formulas of the type u k (θ)u k (Φ)=∫ 0 π u k (ξ,θ,Φ)dξ are obtained for the eigenfunctions of a class of second order regular and regular singular Sturm-Liouville problems on [0, π] by using the Riemann integration method to solve a Cauchy problem for an associated hyperbolic differential equation. When D(ξ,θ,Φ) is nonnegative (which can be guaranteed by a simple restriction on the differential operator of the Sturm-Liouville problem), it is possible to define a convolution with respect to which M[0, π] becomes a Banach algebra with the functions u k (ξ)/u 0 (ξ) as its characters" @default.
- W2032922003 created "2016-06-24" @default.
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- W2032922003 date "1992-01-01" @default.
- W2032922003 modified "2023-10-18" @default.
- W2032922003 title "Convolution and hypergroup structures associated with a class of Sturm-Liouville systems" @default.
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- W2032922003 doi "https://doi.org/10.1090/s0002-9947-1992-1053112-6" @default.
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