Literature cited
Yu. M. Berezanskii and S. G. Krein, “Hypercomplex systems with a continual basis,” Usp. Mat. Nauk,12, No. 1, 147–152 (1957).
Yu. M. Berezanskii and A. A. Kalyuzhnyi, Hypercomplex Systems with Locally Compact Basis [in Russian], Kiev (1982).
Yu. M. Berezanskii and A. A. Kalyuzhnyi, “Nuclear spaces of functions on the basis of a hypercomplex system,” Ukr. Mat. Zh.,35, 9–17 (1983).
A. A. Kalyuzhnyi, “A theorem on the existence of a multiplicative measure,” Ukr. Mat. Zh.,35, 369–371 (1983).
G. Maltese, “Spectral representations for some unbounded normal operators,” Trans. Am. Math. Soc.,110, 79–87 (1964).
G. Maltese, “Spectral representations for solutions of certain abstract functional equations,” Compositio Math.,15, 1–22 (1962).
K. A. Ross, “Hypergroups and centers of measure algebras,” Symp. Math.,22, 189–203 (1977).
Yu. M. Berezanskii, Expansions in Eigenfunctions of Self-Adjoint Operators, Amer. Math. Soc. (1968).
Yu. M. Berezanskii, “Spectral representations of solutions of certain classes of functional and differential equations,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 7, 579–582 (1978).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 4, pp. 417–421, July–August, 1984.
Rights and permissions
About this article
Cite this article
Berezanskii, Y.M., Kalyuzhnyi, A.A. Representations of hypercomplex systems with locally compact basis. Ukr Math J 36, 334–338 (1984). https://doi.org/10.1007/BF01066549
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01066549