Banach Journal of Mathematical Analysis

Exponential Monomials on Sturm--Liouville Hypergroups

Laszlo Vajday

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Using the concept of exponential monomial on Sturm--Liouville hypergroups we show that an important subclass of exponential monomials, the class of special exponential monomials has a linear independence property. The result can be reformulated as the linear independence of the derivatives with respect to the parameter of the solutions of eigenvalue problems for second order linear differential equations.

Article information

Banach J. Math. Anal., Volume 4, Number 2 (2010), 139-146.

First available in Project Euclid: 7 February 2011

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Zentralblatt MATH identifier

Primary: 39B82: Stability, separation, extension, and related topics [See also 46A22]
Secondary: 44B20 46C05: Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)

spectral analysis spectral synthesis hypergroups


Vajday, Laszlo. Exponential Monomials on Sturm--Liouville Hypergroups. Banach J. Math. Anal. 4 (2010), no. 2, 139--146. doi:10.15352/bjma/1297117248.

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