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The algebra of pseudodifferential operators with analytic symbols and its applications to mathematical physics

open access: closedRussian Mathematical Surveys, 1982
Translation from Usp. Mat. Nauk 37, No.5(227), 97-137 (Russian) (1982; Zbl 0509.47041).
Yu. A. Dubinskii
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On Lie Algebras of Difference Operators and the Special Functions of Mathematical Physics

open access: closedSIAM Journal on Mathematical Analysis, 1971
Summary: A method is given whereby special functions of hypergeometric type and their generalizations can be derived in a systematic fashion from Lie algebras of difference and differential operators in one complex variable. The method automatically yields contour integral representations, generating functions, recurrence formulas, integral identities,
Willard Miller
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Mathematical models of functional extreme leaning machins: operator-algebraic and free-probabilistic approaches

open access: closedAequationes mathematicae
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ilwoo Cho, Palle E. T. Jørgensen
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ABOUT THE ALGEBRAS GENERATED BY BASIC OPERATORS OF MATHEMATICAL ANALYSIS X, D AND I

open access: closedRSUH/RGGU Bulletin. Series Information Science. Information Security. Mathematics, 2018
Valery V. Maksimov
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