General information
Latest issue
Impact factor
License agreement
Submit a manuscript

Search papers
Search references

Latest issue
Current issues
Archive issues
What is RSS

Uspekhi Mat. Nauk:

Personal entry:
Save password
Forgotten password?

Uspekhi Mat. Nauk, 1990, Volume 45, Issue 4(274), Pages 79–110 (Mi umn4756)  

This article is cited in 31 scientific papers (total in 31 papers)

Mathematical methods of non-Archimedean physics

A. Yu. Khrennikov

Moscow State Institute of Electronic Technology (Technical University)

Full text: PDF file (1844 kB)
References: PDF file   HTML file

English version:
Russian Mathematical Surveys, 1990, 45:4, 87–125

Bibliographic databases:

UDC: 512.625.5, 517.982.4, 517.948
Received: 19.11.1989

Citation: A. Yu. Khrennikov, “Mathematical methods of non-Archimedean physics”, Uspekhi Mat. Nauk, 45:4(274) (1990), 79–110; Russian Math. Surveys, 45:4 (1990), 87–125

Citation in format AMSBIB
\by A.~Yu.~Khrennikov
\paper Mathematical methods of non-Archimedean physics
\jour Uspekhi Mat. Nauk
\yr 1990
\vol 45
\issue 4(274)
\pages 79--110
\jour Russian Math. Surveys
\yr 1990
\vol 45
\issue 4
\pages 87--125

Linking options:

    SHARE: FaceBook Twitter Livejournal

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

    This publication is cited in the following articles:
    1. A. Yu. Khrennikov, “Generalized functions on a Non-Archimedean superspace”, Math. USSR-Izv., 39:3 (1992), 1209–1238  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. A. Yu. Khrennikov, “Real non-Archimedean structure of spacetime”, Theoret. and Math. Phys., 86:2 (1991), 121–130  mathnet  crossref  mathscinet  zmath  isi
    3. A. Yu. Khrennikov, “Analysis on the p-adic superspace. II. Differential equations on p-adic superspace”, J Math Phys (N Y ), 33:5 (1992), 1643  crossref  mathscinet  zmath  adsnasa  isi
    4. V. D. Ivashchuk, “Tensor Banach algebras of projective type. I”, Theoret. and Math. Phys., 91:1 (1992), 336–345  mathnet  crossref  mathscinet  zmath  isi
    5. A. Yu. Khrennikov, M. Endo, “Unboundedness of a $p$-adic Gaussian distribution”, Russian Acad. Sci. Izv. Math., 41:2 (1993), 367–375  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    6. Roberto Cianci, Andrew Khrennikov, “p-adic superanalysis. I. Infinitely generated Banach superalgebras and algebraic groups”, J Math Phys (N Y ), 34:5 (1993), 1986  crossref  mathscinet  zmath  isi
    7. A. Yu. Khrennikov, “$p$-Adic probability theory and its applications. The principle of statistical stabilization of frequencies”, Theoret. and Math. Phys., 97:3 (1993), 1340–1348  mathnet  crossref  mathscinet  zmath  isi
    8. V. S. Vladimirov, “Freund–Witten adelic formulae for Veneziano and Virasoro–Shapiro amplitudes”, Russian Math. Surveys, 48:6 (1993), 1–39  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    9. R Cianci, A Khrennikov, J Phys A Math Gen, 27:23 (1994), 7875  crossref  mathscinet  zmath  adsnasa  isi
    10. B. G. Dragovich, “Adelic model of harmonic oscillator”, Theoret. and Math. Phys., 101:3 (1994), 1404–1412  mathnet  crossref  mathscinet  zmath  isi
    11. R Cianci, “p-adic numbers and renormalization of eigenfunctions in quantum mechanics”, Physics Letters B, 328:1-2 (1994), 109  crossref
    12. R Cianci, M Francaviglia, I Volovich, J Phys A Math Gen, 28:3 (1995), 723  crossref  mathscinet  zmath  adsnasa  isi
    13. A Khrennikov, J Phys A Math Gen, 28:9 (1995), 2627  crossref  mathscinet  zmath  adsnasa  isi
    14. Andrew Khrennikov, “Statistical interpretation of p-adic quantum theories with p-adic valued wave functions”, J Math Phys (N Y ), 36:12 (1995), 6625  crossref  mathscinet  zmath  isi
    15. A. Yu. Khrennikov, “On Probability Distributions on the Field of $p$-Adic Numbers”, Theory Probab Appl, 40:1 (1995), 159  mathnet  crossref  mathscinet  zmath  isi
    16. A. Yu. Khrennikov, “On the Extension of the von Mises Frequency Approach and Kolmogorov Axiomatic Approach to the $p$-Adic Probability Theory”, Theory Probab Appl, 40:2 (1995), 371  mathnet  crossref  mathscinet  zmath  isi
    17. A. Yu. Khrennikov, “A limit theorem for $p$-adic-valued probability distributions”, Izv. Math., 59:3 (1995), 647–662  mathnet  crossref  mathscinet  zmath  isi
    18. Andrew Khrennikov, “p-adic probability interpretation of Bell's inequality”, Physics Letters A, 200:3-4 (1995), 219  crossref  elib
    19. Andrew Khrennikov, “p-adic probability distributions of hidden variables”, Physica A: Statistical Mechanics and its Applications, 215:4 (1995), 577  crossref
    20. V. I. Bogachev, “Gaussian measures on linear spaces”, Journal of Mathematical Sciences (New York), 79:2 (1996), 933  crossref  mathscinet  zmath
    21. Andrew Khrennikov, “The ultrametric Hilbert-space description of quantum measurements with a finite exactness”, Found Phys, 26:8 (1996), 1033  crossref  mathscinet  isi
    22. Andrei Khrennikov, “Non-Archimedean probability: Frequency and axiomatics theories”, Acta Mathematicae Applicatae Sinica English Series, 12:1 (1996), 78  crossref  mathscinet  elib
    23. Andrew Khrennikov, “p-adic valued probability measures”, Indagationes Mathematicae, 7:3 (1996), 311  crossref
    24. S. A. Albeverio, A. Yu. Khrennikov, R. Cianci, “A representation of quantum field Hamiltonian in a $p$-adic Hilbert space”, Theoret. and Math. Phys., 112:3 (1997), 1081–1096  mathnet  crossref  crossref  mathscinet  zmath  isi
    25. S. A. Albeverio, J. M. Bayod, C. Perez-Garsia, A. Yu. Khrennikov, R. Cianci, “Non-Archimedean analogues of orthogonal and symmetric operators”, Izv. Math., 63:6 (1999), 1063–1087  mathnet  crossref  crossref  mathscinet  zmath  isi
    26. A. Yu. Khrennikov, “Interpretations of Probability and Their p-Adic Extensions”, Theory Probab Appl, 46:2 (2002), 256  mathnet  crossref  mathscinet  isi
    27. S. V. Lyudkovskii, “Quasi-invariant and pseudo-differentiable measures with values in non-Archimedean fields on a non-Archimedean Banach space”, J. Math. Sci., 128:6 (2005), 3428–3460  mathnet  crossref  mathscinet  zmath  elib  elib
    28. M. L. Gorbachuk, V. I. Gorbachuk, “On the Cauchy Problem for Differential Equations in a Banach Space over the Field of $p$-Adic Numbers”, Proc. Steklov Inst. Math., 245 (2004), 91–97  mathnet  mathscinet  zmath
    29. S. V. Lyudkovskii, “Topological Transformation Groups of Manifolds over Non-Archimedean Fields, Their Representations, and Quasi-Invariant Measures, II”, Journal of Mathematical Sciences, 150:4 (2008), 2123–2223  mathnet  crossref  mathscinet  elib
    30. S. V. Kozyrev, “Methods and Applications of Ultrametric and $p$-Adic Analysis: From Wavelet Theory to Biophysics”, Proc. Steklov Inst. Math., 274, suppl. 1 (2011), S1–S84  mathnet  crossref  crossref  zmath  isi  elib
    31. Andrew Schumann, “p-Adic valued logical calculi in simulations of the slime mould behaviour”, Journal of Applied Non-Classical Logics, 2015, 1  crossref
  • Успехи математических наук Russian Mathematical Surveys
    Number of views:
    This page:902
    Full text:349
    First page:1

    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019