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Representations of hypercomplex systems with locally compact basis

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Literature cited

  1. Yu. M. Berezanskii and S. G. Krein, “Hypercomplex systems with a continual basis,” Usp. Mat. Nauk,12, No. 1, 147–152 (1957).

    Google Scholar 

  2. Yu. M. Berezanskii and A. A. Kalyuzhnyi, Hypercomplex Systems with Locally Compact Basis [in Russian], Kiev (1982).

  3. 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).

    Google Scholar 

  4. A. A. Kalyuzhnyi, “A theorem on the existence of a multiplicative measure,” Ukr. Mat. Zh.,35, 369–371 (1983).

    Google Scholar 

  5. G. Maltese, “Spectral representations for some unbounded normal operators,” Trans. Am. Math. Soc.,110, 79–87 (1964).

    Google Scholar 

  6. G. Maltese, “Spectral representations for solutions of certain abstract functional equations,” Compositio Math.,15, 1–22 (1962).

    Google Scholar 

  7. K. A. Ross, “Hypergroups and centers of measure algebras,” Symp. Math.,22, 189–203 (1977).

    Google Scholar 

  8. Yu. M. Berezanskii, Expansions in Eigenfunctions of Self-Adjoint Operators, Amer. Math. Soc. (1968).

  9. 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).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 4, pp. 417–421, July–August, 1984.

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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

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  • DOI: https://doi.org/10.1007/BF01066549

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