Nazaikinskii, V. E. Canonical operator on punctured Lagrangian manifolds and commutation with pseudodifferential operators: local theory. (English. Russian original) Zbl 1505.35378 Math. Notes 112, No. 5, 709-725 (2022); translation from Mat. Zametki 112, No. 5, 733-751 (2022). MSC: 35S05 53D12 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Math. Notes 112, No. 5, 709--725 (2022; Zbl 1505.35378); translation from Mat. Zametki 112, No. 5, 733--751 (2022) Full Text: DOI
Baldare, A.; Nazaikinskii, V. E.; Savin, A. Yu.; Schrohe, E. \(C^*\)-algebras of transmission problems and elliptic boundary value problems with shift operators. (English. Russian original) Zbl 1493.58009 Math. Notes 111, No. 5, 701-721 (2022); translation from Mat. Zametki 111, No. 5, 692-716 (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J32 47L80 35S05 47G30 35J99 PDFBibTeX XMLCite \textit{A. Baldare} et al., Math. Notes 111, No. 5, 701--721 (2022; Zbl 1493.58009); translation from Mat. Zametki 111, No. 5, 692--716 (2022) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Lagrangian manifolds and efficient short-wave asymptotics in a neighborhood of a caustic cusp. (English. Russian original) Zbl 1483.53094 Math. Notes 108, No. 3, 318-338 (2020); translation from Mat. Zametki 108, No. 3, 334-359 (2020). MSC: 53D12 41A60 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Math. Notes 108, No. 3, 318--338 (2020; Zbl 1483.53094); translation from Mat. Zametki 108, No. 3, 334--359 (2020) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Uniformization of equations with Bessel-type boundary degeneration and semiclassical asymptotics. (English. Russian original) Zbl 1455.76019 Math. Notes 107, No. 5, 847-853 (2020); translation from Mat. Zametki 107, No. 5, 780-786 (2020). MSC: 76B15 76M45 35Q35 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Math. Notes 107, No. 5, 847--853 (2020; Zbl 1455.76019); translation from Mat. Zametki 107, No. 5, 780--786 (2020) Full Text: DOI
Nazaikinskii, V. E.; Shafarevich, A. I. Maslov’s canonical operator in problems on localized asymptotic solutions of hyperbolic equations and systems. (English. Russian original) Zbl 1432.35025 Math. Notes 106, No. 3, 402-411 (2019); translation from Mat. Zametki 106, No. 3, 424-435 (2019). MSC: 35B40 58J40 53D12 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} and \textit{A. I. Shafarevich}, Math. Notes 106, No. 3, 402--411 (2019; Zbl 1432.35025); translation from Mat. Zametki 106, No. 3, 424--435 (2019) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. Asymptotics, related to billiards with semi-rigid walls, of eigenfunctions of the \(\nabla D(x)\nabla\) operator in dimension 2 and trapped coastal waves. (English. Russian original) Zbl 1426.37049 Math. Notes 105, No. 5, 789-794 (2019); translation from Mat. Zametki 105, No. 5, 792-797 (2019). MSC: 37J35 37J10 34L10 34L20 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Math. Notes 105, No. 5, 789--794 (2019; Zbl 1426.37049); translation from Mat. Zametki 105, No. 5, 792--797 (2019) Full Text: DOI
Chernyshev, V. L.; Minenkov, D. S.; Nazaikinskii, V. E. Typical shape of elements in an arithmetical semigroup with exponentially growing prime counting function and deviations from the Bose-Einstein distribution. (English) Zbl 1439.11260 Math. Notes 104, No. 6, 939-942 (2018). MSC: 11N45 11N80 PDFBibTeX XMLCite \textit{V. L. Chernyshev} et al., Math. Notes 104, No. 6, 939--942 (2018; Zbl 1439.11260) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Simple asymptotics for a generalized wave equation with degenerating velocity and their applications in the linear long wave run-up problem. (English. Russian original) Zbl 1420.35151 Math. Notes 104, No. 4, 471-488 (2018); translation from Mat. Zametki 104, No. 4, 483-504 (2018). MSC: 35L20 35B40 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Math. Notes 104, No. 4, 471--488 (2018; Zbl 1420.35151); translation from Mat. Zametki 104, No. 4, 483--504 (2018) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, Anna V. One approach to the computation of asymptotics of integrals of rapidly varying functions. (English. Russian original) Zbl 1397.42004 Math. Notes 103, No. 5, 713-723 (2018); translation from Mat. Zametki 103, No. 5, 680-692 (2018). MSC: 42B20 41A60 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Math. Notes 103, No. 5, 713--723 (2018; Zbl 1397.42004); translation from Mat. Zametki 103, No. 5, 680--692 (2018) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. On the asymptotics of a Bessel-type integral having applications in wave run-up theory. (English. Russian original) Zbl 1384.42001 Math. Notes 102, No. 6, 756-762 (2017); translation from Mat. Zametki 102, No. 6, 828-835 (2017). MSC: 42A38 35L05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Math. Notes 102, No. 6, 756--762 (2017; Zbl 1384.42001); translation from Mat. Zametki 102, No. 6, 828--835 (2017) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Punctured Lagrangian manifolds and asymptotic solutions of the linear water wave equations with localized initial conditions. (English. Russian original) Zbl 1516.35040 Math. Notes 101, No. 6, 1053-1060 (2017); translation from Mat. Zametki 101, No. 6, 936-942 (2017). MSC: 35B25 35C20 35Q35 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Math. Notes 101, No. 6, 1053--1060 (2017; Zbl 1516.35040); translation from Mat. Zametki 101, No. 6, 936--942 (2017) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A. Uniform asymptotics of the boundary values of the solution in a linear problem on the run-up of waves on a shallow beach. (English. Russian original) Zbl 1372.35180 Math. Notes 101, No. 5, 802-814 (2017); translation from Mat. Zametki 101, No. 5, 700-715 (2017). MSC: 35L20 76E20 86A05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Math. Notes 101, No. 5, 802--814 (2017; Zbl 1372.35180); translation from Mat. Zametki 101, No. 5, 700--715 (2017) Full Text: DOI
Maslov, V. P.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Volume and entropy in abstract analytic number theory and thermodynamics. (English. Russian original) Zbl 1362.82025 Math. Notes 100, No. 6, 828-834 (2016); translation from Mat. Zametki 100, No. 6, 855-867 (2016). MSC: 82B30 82D05 11N80 PDFBibTeX XMLCite \textit{V. P. Maslov} et al., Math. Notes 100, No. 6, 828--834 (2016; Zbl 1362.82025); translation from Mat. Zametki 100, No. 6, 855--867 (2016) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Characteristics with singularities and the boundary values of the asymptotic solution of the Cauchy problem for a degenerate wave equation. (English. Russian original) Zbl 1362.35170 Math. Notes 100, No. 5, 695-713 (2016); translation from Mat. Zametki 100, No. 5, 710-731 (2016). MSC: 35L20 35L80 35B40 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Math. Notes 100, No. 5, 695--713 (2016; Zbl 1362.35170); translation from Mat. Zametki 100, No. 5, 710--731 (2016) Full Text: DOI
Minenkov, D. S.; Nazaikinskiĭ, V. E. Remark on the inverse abstract prime number theorem. (English. Russian original) Zbl 1354.11062 Math. Notes 100, No. 4, 633-635 (2016); translation from Mat. Zametki 100, No. 4, 627-629 (2016). MSC: 11N37 11N80 PDFBibTeX XMLCite \textit{D. S. Minenkov} and \textit{V. E. Nazaikinskiĭ}, Math. Notes 100, No. 4, 633--635 (2016; Zbl 1354.11062); translation from Mat. Zametki 100, No. 4, 627--629 (2016) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. Conjugate variables in analytic number theory. Phase space and Lagrangian manifolds. (English) Zbl 1357.82068 Math. Notes 100, No. 3, 421-428 (2016). MSC: 82D05 11N80 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 100, No. 3, 421--428 (2016; Zbl 1357.82068) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. Bose-Einstein distribution as a problem of analytic number theory: the case of less than two degrees of freedom. (English) Zbl 1357.82067 Math. Notes 100, No. 2, 245-255 (2016). MSC: 82D05 11N05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 100, No. 2, 245--255 (2016; Zbl 1357.82067) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. Remark on the notion of optimal data compression in information theory. (English) Zbl 1386.68058 Math. Notes 99, No. 4, 616-618 (2016). MSC: 68P30 94A17 94A29 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 99, No. 4, 616--618 (2016; Zbl 1386.68058) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. Disinformation theory for bosonic computational media. (English) Zbl 1349.82022 Math. Notes 99, No. 6, 895-900 (2016). MSC: 82B30 81P45 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 99, No. 6, 895--900 (2016; Zbl 1349.82022) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On the rate of convergence to the Bose-Einstein distribution. (English) Zbl 1338.82051 Math. Notes 99, No. 1, 95-109 (2016). MSC: 82D05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 99, No. 1, 95--109 (2016; Zbl 1338.82051) Full Text: DOI
Nazaikinskii, V. E. The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary. (English. Russian original) Zbl 1330.53108 Math. Notes 96, No. 2, 248-260 (2014); translation from Mat. Zametki 96, No. 2, 261-276 (2014). Reviewer: Chengbo Wang (Hangzhou) MSC: 53D12 35L05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Math. Notes 96, No. 2, 248--260 (2014; Zbl 1330.53108); translation from Mat. Zametki 96, No. 2, 261--276 (2014) Full Text: DOI
Nazaikinskii, V. E. On the representation of localized functions in \(\mathbb R^2\) by the Maslov canonical operator. (English. Russian original) Zbl 1320.53100 Math. Notes 96, No. 1, 99-109 (2014); translation from Mat. Zametki 96, No. 1, 88-100 (2014). MSC: 53D12 35L05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Math. Notes 96, No. 1, 99--109 (2014; Zbl 1320.53100); translation from Mat. Zametki 96, No. 1, 88--100 (2014) Full Text: DOI
Nazaikinskii, V. E. On the asymptotics of the number of states for the Bose-Maslov gas. (English) Zbl 1285.82048 Math. Notes 91, No. 6, 816-823 (2012). MSC: 82D05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Math. Notes 91, No. 6, 816--823 (2012; Zbl 1285.82048) Full Text: DOI
Nazaikinskii, V. E. Phase space geometry for a wave equation degenerating on the boundary of the domain. (English. Russian original) Zbl 1308.58017 Math. Notes 92, No. 1, 144-148 (2012); translation from Mat. Zametki 92, No. 1, 153-156 (2012). MSC: 58J45 35C20 37C80 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Math. Notes 92, No. 1, 144--148 (2012; Zbl 1308.58017); translation from Mat. Zametki 92, No. 1, 153--156 (2012) Full Text: DOI
Nazaikinskii, V. E. Degenerate wave equation with localized initial data: asymptotic solutions corresponding to various self-adjoint extensions. (English. Russian original) Zbl 1234.35149 Math. Notes 89, No. 5, 749-753 (2011); translation from Mat. Zametki 89, No. 5, 797-800 (2011). MSC: 35L80 35L15 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Math. Notes 89, No. 5, 749--753 (2011; Zbl 1234.35149); translation from Mat. Zametki 89, No. 5, 797--800 (2011) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On the distribution of integer random variables satisfying two linear relations. (English. Russian original) Zbl 1219.60031 Math. Notes 84, No. 1, 73-99 (2008); translation from Mat. Zametki 84, No. 1, 69-98 (2008). MSC: 60F15 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 84, No. 1, 73--99 (2008; Zbl 1219.60031); translation from Mat. Zametki 84, No. 1, 69--98 (2008) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On the distribution of integer random variables related by a certain linear inequality. III. (English. Russian original) Zbl 1202.82006 Math. Notes 83, No. 6, 804-820 (2008); translation from Mat. Zametki 83, No. 6, 880-898 (2008). MSC: 82B05 60E05 60K35 62P35 82C05 82C21 44A15 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 83, No. 6, 804--820 (2008; Zbl 1202.82006); translation from Mat. Zametki 83, No. 6, 880--898 (2008) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On the distribution of integer random variables related by two linear inequalities. I. (English. Russian original) Zbl 1154.60076 Math. Notes 83, No. 4, 512-529 (2008); translation from Mat. Zametki 83, No. 4, 559-580 (2008). MSC: 60F15 82-02 60K35 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 83, No. 4, 512--529 (2008; Zbl 1154.60076); translation from Mat. Zametki 83, No. 4, 559--580 (2008) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On the distribution of integer random variables related by a certain linear inequality. II. (English. Russian original) Zbl 1153.82001 Math. Notes 83, No. 3, 345-363 (2008); translation from Mat. Zametki 83, No. 3, 381-401 (2008). MSC: 82B05 60E05 82B26 82B10 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 83, No. 3, 345--363 (2008; Zbl 1153.82001); translation from Mat. Zametki 83, No. 3, 381--401 (2008) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On the distribution of integer random variables related by a certain linear inequality. I. (English) Zbl 1150.82017 Math. Notes 83, No. 2, 211-237 (2008); translation from Mat. Zametki 83, No. 2, 232-263 (2008). MSC: 82B05 60K35 62P35 81P20 82C05 82C41 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 83, No. 2, 211--237 (2008; Zbl 1150.82017); translation from Mat. Zametki 83, No. 2, 232--263 (2008) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On a problem in probability theory. (English. Russian original) Zbl 1145.60016 Math. Notes 81, No. 6, 788-799 (2007); translation from Mat. Zametki 81, No. 6, 879-892 (2007). Reviewer: Pavel Froněk (Praha) MSC: 60F05 60E05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 81, No. 6, 788--799 (2007; Zbl 1145.60016); translation from Mat. Zametki 81, No. 6, 879--892 (2007) Full Text: DOI