The convolution on time scales.
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Bohner, Martin, Guseinov, Gusein Sh. (2007)
Abstract and Applied Analysis
Ormerod, Christopher M. (2011)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Kakei, Saburo, Nishizawa, Michitomo, Saito, Yoshihisa, Takeyama, Yoshihiro (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Luc Haine (2005)
Annales de l’institut Fourier
The Stieltjes spectral matrix measure of the doubly infinite Jacobi matrix associated with a Toda -soliton is computed, using Sato theory. The result is used to give an explicit expansion of the fundamental solution of some discrete heat equations, in a series of Jackson’s -Bessel functions. For Askey-Wilson type solitons, this expansion reduces to a finite sum.
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