V. P. Maslov, V. E. Nazaikinskii, “Algebras with general commutation relations and their applications. I. Pseudodifferential equations with increasing coefficients”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 13, VINITI, Moscow, 1979, 5–144; J. Soviet Math., 15:3 (1981), 167

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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki"

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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", 1979, Volume 13, Pages 5–144 (Mi intd36)

This article is cited in 14 scientific papers (total in 14 papers)

Algebras with general commutation relations and their applications. I. Pseudodifferential equations with increasing coefficients

V. P. Maslov, V. E. Nazaikinskii

Full-text PDF (6400 kB) Citations (14)

English version:
Journal of Soviet Mathematics, 1981, Volume 15, Issue 3, Pages 167–273
DOI: https://doi.org/10.1007/BF01083678

Bibliographic databases:

UDC: 517.984.22+517.983.53

Language: Russian

Citation: V. P. Maslov, V. E. Nazaikinskii, “Algebras with general commutation relations and their applications. I. Pseudodifferential equations with increasing coefficients”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 13, VINITI, Moscow, 1979, 5–144; J. Soviet Math., 15:3 (1981), 167–273

Citation in format AMSBIB

\Bibitem{MasNaz79}

\by V.~P.~Maslov, V.~E.~Nazaikinskii

\paper Algebras with general commutation relations and their applications. I.~Pseudodifferential equations with increasing coefficients

\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat.

\yr 1979

\vol 13

\pages 5--144

\publ VINITI

\publaddr Moscow

\mathnet{http://mi.mathnet.ru/intd36}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=565188}

\zmath{https://zbmath.org/?q=an:0482.58028}

\transl

\jour J. Soviet Math.

\yr 1981

\vol 15

\issue 3

\pages 167--273

\crossref{https://doi.org/10.1007/BF01083678}

Linking options:

https://www.mathnet.ru/eng/intd36

https://www.mathnet.ru/eng/intd/v13/p5

Cycle of papers

Algebras with general commutation relations and their applications. I. Pseudodifferential equations with increasing coefficients
V. P. Maslov, V. E. Nazaikinskii
Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 1979, 13, 5–144
Algebras with general commutation relations and their applications. II. Operator unitary-nonlinear equations
M. V. Karasev, V. P. Maslov
Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 1979, 13, 145–267

This publication is cited in the following 14 articles:

Anton Kulagin, Alexander Shapovalov, “Quasiparticle solutions for the nonlocal NLSE with an anti-Hermitian term in semiclassical approximation”, Eur. Phys. J. Plus, 140:3 (2025)
V. P. Maslov, “New Insight into the Partition Theory of Integers Related to Problems of Thermodynamics and Mesoscopic Physics”, Math. Notes, 102:2 (2017), 232–249
Commutation Relations, Normal Ordering, and Stirling Numbers, 2015, 419
S. Yu. Dobrokhotov, G. N. Makrakis, V. E. Nazaikinskii, T. Ya. Tudorovskii, “New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics”, Theoret. and Math. Phys., 177:3 (2013), 1579–1605
M. V. Karasev, E. M. Novikova, “Algebra and quantum geometry of multifrequency resonance”, Izv. Math., 74:6 (2010), 1155–1204
Methods of Noncommutative Analysis, 1996, 357
M. V. Karasev, V. P. Maslov, “Non-Lie permutation relations”, Russian Math. Surveys, 45:5 (1990), 51–98
M. V. Karasev, “Analogues of the objects of Lie group theory for nonlinear Poisson brackets”, Math. USSR-Izv., 28:3 (1987), 497–527
G. L. Litvinov, “Hypergroups and hypergroup algebras”, J. Soviet Math., 38:2 (1987), 1734–1761
V. P. Maslov, “Non-standard characteristics in asymptotic problems”, Russian Math. Surveys, 38:6 (1983), 1–42
V. P. Maslov, V. E. Nazaikinskii, “Asymptotics for equations with singularities in the characteristics”, Math. USSR-Izv., 19:2 (1982), 315–347
M. V. Karasev, “Operators of the regular representation for a class of non-Lie commutation relations”, Funct. Anal. Appl., 13:3 (1979), 229–230
V. P. Maslov, V. E. Nazaikinskii, “Algebras with general commutation relations and their applications. I. Pseudodifferential equations with increasing coefficients”, J. Soviet Math., 15:3 (1981), 167–273
M. V. Karasev, V. P. Maslov, “Algebras with general commutation relations and their applications. II. Operator unitary-nonlinear equations”, J. Soviet Math., 15:3 (1981), 273–368

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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