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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 59, Number 1, Pages 3–27 (Mi tmf4701)  

This article is cited in 141 scientific papers (total in 143 papers)

Differential calculus

V. S. Vladimirov, I. V. Volovich
References:
Abstract: A new approach to superanalysis is developed on the basis of the theory of functions in Banach spaces and the theory of Banach algebras. In the framework of this superanalysis, an exposition is given of differential calculus.
Received: 10.08.1983
English version:
Theoretical and Mathematical Physics, 1984, Volume 59, Issue 1, Pages 317–335
DOI: https://doi.org/10.1007/BF01028510
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. S. Vladimirov, I. V. Volovich, “Differential calculus”, TMF, 59:1 (1984), 3–27; Theoret. and Math. Phys., 59:1 (1984), 317–335
Citation in format AMSBIB
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\by V.~S.~Vladimirov, I.~V.~Volovich
\paper Differential calculus
\jour TMF
\yr 1984
\vol 59
\issue 1
\pages 3--27
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=749002}
\zmath{https://zbmath.org/?q=an:0552.46023}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 59
\issue 1
\pages 317--335
\crossref{https://doi.org/10.1007/BF01028510}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984TR03500001}
Linking options:
  • https://www.mathnet.ru/eng/tmf4701
  • https://www.mathnet.ru/eng/tmf/v59/i1/p3
    Cycle of papers
    This publication is cited in the following 143 articles:
    1. Aroonima Sahoo, Kishor Chandra Pati, “Controllability and Observability of Linear Time-Invariant Control System on Superspace”, J Dyn Control Syst, 2024  crossref
    2. Anurag Dutta, K. Lakshmanan, Sanjeev Kumar, A. Ramamoorthy, “Newtonian Physics Informed Neural Network (NwPiNN) for Spatio-Temporal Forecast of Visual Data”, Hum-Cent Intell Syst, 2024  crossref
    3. Vladimir V. Kassandrov, Joseph A. Rizcallah, Ivan A. Matveev, “Algebrodynamics: Shear-Free Null Congruences and New Types of Electromagnetic Fields”, Axioms, 12:11 (2023), 1061  crossref
    4. Anselmo Torresblanca-Badillo, “On some generalizations of non-archimedean pseudo-differential operators and their applications”, Journal of Mathematical Analysis and Applications, 512:2 (2022), 126168  crossref
    5. E. N. Sattorov, F. E. Ermamatova, “Carleman's Formula for Solutions of Generalized Cauchy–Riemann Systems in Multidimensional Spatial Domains”, J Math Sci, 265:1 (2022), 90  crossref
    6. Sergey Bondarenko, “Dynamical Signature: Complex Manifolds, Gauge Fields and Non-Flat Tangent Space”, Universe, 8:10 (2022), 497  crossref
    7. E. N. Sattorov, F. E. Ermamatova, “On continuation of solutions of generalized Cauchy–Riemann system in an unbounded subdomain of multidimensional space”, Russian Math. (Iz. VUZ), 65:2 (2021), 22–38  mathnet  crossref  crossref  isi
    8. È. N. Sattorov, F. E. Ermamatova, “On the Recovery of Solutions of a Generalized Cauchy–Riemann System in a Multidimensional Spatial Domain from Their Values on a Piece of the Boundary of This Domain”, Math. Notes, 110:3 (2021), 393–408  mathnet  crossref  crossref  isi  elib
    9. Ismael Gutiérrez-García, Anselmo Torresblanca-Badillo, “Probability density functions and the dynamics of complex systems associated to some classes of non-archimedean pseudo-differential operators”, J. Pseudo-Differ. Oper. Appl., 12:1 (2021)  crossref
    10. Vladimir Anashin, STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health, Advances in Non-Archimedean Analysis and Applications, 2021, 9  crossref
    11. E. N. Sattorov, F. E. Ermamatova, “Cauchy Problem for a Generalized Cauchy–Riemann System in a Multidimensional Bounded Spatial Domain”, Diff Equat, 57:1 (2021), 86  crossref
    12. Hentosh O. Prykarpatsky Ya., “The Lax-Sato Integrable Heavenly Equations on Functional Supermanifolds and Their Lie-Algebraic Structure”, Eur. J. Math., 6:1, SI (2020), 232–247  crossref  isi
    13. E. N. Sattorov, F. E. Ermamatova, “Formula Karlemana dlya reshenii obobschennoi sistemy Koshi–Rimana v mnogomernoi prostranstvennoi oblasti”, Sovremennye problemy matematiki i fiziki, SMFN, 65, no. 1, Rossiiskii universitet druzhby narodov, M., 2019, 95–108  mathnet  crossref
    14. A. E. Teretenkov, “Dynamics of Moments for Quadratic GKSL Generators”, Math. Notes, 106:1 (2019), 151–155  mathnet  crossref  crossref  mathscinet  isi  elib
    15. I. Ya. Aref'eva, I. V. Volovich, “Quasi-averages in Random Matrix Models”, Proc. Steklov Inst. Math., 306 (2019), 1–8  mathnet  crossref  crossref  mathscinet  isi  elib
    16. V. V. Monakhov, “Generalization of Dirac conjugation in the superalgebraic theory of spinors”, Theoret. and Math. Phys., 200:1 (2019), 1026–1042  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    17. Teretenkov A.E., “Irreversible Quantum Evolution With Quadratic Generator: Review”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 22:4 (2019), 1930001  crossref  isi
    18. Aref'eva I. Volovich I., “Spontaneous Symmetry Breaking in Fermionic Random Matrix Model”, J. High Energy Phys., 2019, no. 10, 114  crossref  isi
    19. Daniel Alpay, Ismael L. Paiva, Daniele C. Struppa, “Positivity, Rational Schur Functions, Blaschke Factors, and Other Related Results in the Grassmann Algebra”, Integr. Equ. Oper. Theory, 91:2 (2019)  crossref
    20. I. Ya. Aref'eva, I. V. Volovich, “Notes on the SYK model in real time”, Theoret. and Math. Phys., 197:2 (2018), 1650–1662  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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