Abstract
We construct new examples of operators of generalized translation and convolutions in eigenfunctions of certain self-adjoint differential operators.
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REFERENCES
Yu. M. Berezans'kyi and A. A. Kalyuzhnyi, Harmonic Analysis in Hypercomplex Systems [in Russian], Naukova Dumka, Kiev (1992).
B. M. Levitan, Theory of Operators of Generalized Translation [in Russian], Nauka, Moscow (1973).
J. Ercolano and M. Schechter, “Spectral theory for operators generated by elliptic boundary problems with eigenvalue parameter in boundary conditions. I, II,” Comm. Pure Appl. Math., 18, 83–105, 397–414 (1965).
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 5, pp. 659–668, May, 2005.
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Kosyak, A.V., Nizhnik, L.P. Operators of Generalized Translation and Hypergroups Constructed from Self-Adjoint Differential Operators. Ukr Math J 57, 782–793 (2005). https://doi.org/10.1007/s11253-005-0228-1
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DOI: https://doi.org/10.1007/s11253-005-0228-1