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Found 551 Documents (Results 1–100)

Operator group generated by a one-dimensional Dirac system. (English. Russian original) Zbl 07820600

Dokl. Math. 108, No. 3, 490-492 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, No. 1, 79-81 (2023).
MSC:  34Lxx 47Exx 47Bxx
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One-dimensional finite-gap Schrödinger operators as a limit of commuting difference operators. (English. Russian original) Zbl 07786649

Dokl. Math. 108, No. 1, 312-315 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 81-84 (2023).
MSC:  39A70 47B47
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One condition for discreteness of the spectrum and compactness of the resolvent of a nonsectorial Sturm-Liouville operator on a semiaxis. (English. Russian original) Zbl 07735232

Dokl. Math. 107, No. 2, 117-119 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 510, 39-42 (2023).
MSC:  34B24 34L05 47A10
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Functions of pairs of unbounded noncommuting self-adjoint operators under perturbation. (English. Russian original) Zbl 1522.47046

Dokl. Math. 106, No. 3, 407-411 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 507, 5-9 (2022).
MSC:  47B25 46B28
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Boundedness and compactness of the two-dimensional rectangular Hardy operator. (English. Russian original) Zbl 1518.47080

Dokl. Math. 106, No. 2, 361-365 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 68-72 (2022).
MSC:  47G10 47B92 46E30
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Markov approximations of the evolution of quantum systems. (English. Russian original) Zbl 1517.47081

Dokl. Math. 105, No. 2, 92-96 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 48-53 (2022).
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On the spectrum of a non-self-adjoint quasiperiodic operator. (English. Russian original) Zbl 1506.47038

Dokl. Math. 104, No. 3, 326-331 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 16-21 (2021).
MSC:  47B28 47A10
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Correct solvability and exponential stability for solutions of Volterra integro-differential equations. (English. Russian original) Zbl 07492944

Dokl. Math. 104, No. 2, 273-276 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 62-66 (2021).
MSC:  47G20 47D06
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Random quantization of Hamiltonian systems. (English. Russian original) Zbl 1494.47069

Dokl. Math. 103, No. 3, 122-126 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 31-36 (2021).
MSC:  47B80 60F05 81S20
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On global solvability of nonlinear equations with parameters. (English. Russian original) Zbl 1494.47094

Dokl. Math. 103, No. 1, 57-60 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 68-72 (2021).
MSC:  47J07
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Composition operators on weighted Sobolev spaces and the theory of \(\mathcal{Q}_p\)-homeomorphisms. (English. Russian original) Zbl 1477.30053

Dokl. Math. 102, No. 2, 371-375 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 21-25 (2020).
MSC:  30L10 47B33
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Schrödinger quantization of infinite-dimensional Hamiltonian systems with a nonquadratic Hamiltonian function. (English. Russian original) Zbl 1528.58011

Dokl. Math. 101, No. 3, 227-230 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 492, 65-69 (2020).
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On stability of continuous extensions of mappings with respect to Nemytskii operator. (English. Russian original) Zbl 07424583

Dokl. Math. 101, No. 3, 182-184 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 492, 11-14 (2020).
MSC:  47-XX 34-XX
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On mutually inverse transforms of functions on a half-line. (English. Russian original) Zbl 1441.47073

Dokl. Math. 100, No. 3, 560-563 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 489, No. 5, 452-455 (2019).
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On some degenerate pseudodifferential operators. (English. Russian original) Zbl 1441.47057

Dokl. Math. 100, No. 2, 459-462 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 488, No. 5, 467-470 (2019).
MSC:  47G30 35S05
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On the continuous dependence of the solution of a boundary value problem on boundary conditions: elements of \(p\)-regularity theory. (English. Russian original) Zbl 1504.47119

Dokl. Math. 100, No. 2, 426-429 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 488, No. 2, 126-129 (2019).
MSC:  47N20 47J07 34B08
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Differential properties of semigroups and estimates of distances between stationary distributions of diffusions. (English. Russian original) Zbl 1478.60216

Dokl. Math. 99, No. 2, 175-180 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 4, 399-404 (2019).
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Spectral properties of ordinary differential operators with involution. (English. Russian original) Zbl 1418.34156

Dokl. Math. 99, No. 1, 5-10 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 1, 12-17 (2019).
MSC:  34L10 47E05 34B05
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On bilinear Hardy-Steklov operators. (English. Russian original) Zbl 1480.47067

Dokl. Math. 98, No. 3, 634-637 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 6, 596-599 (2018).
MSC:  47G10 47A07
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The spectrum and trace formula for bounded perturbations of differential operators. (English. Russian original) Zbl 1507.47032

Dokl. Math. 98, No. 3, 552-554 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 1, 19-21 (2018).
MSC:  47A55 47A10 47F05
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Green’s function of ordinary differential operators and an integral representation of sums of certain power series. (English. Russian original) Zbl 1406.34059

Dokl. Math. 98, No. 2, 486-489 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 482, No. 5, 500-503 (2018).
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On the uniqueness of the solution of the inverse Sturm-Liouville problem with nonseparated boundary conditions on a geometric graph. (English. Russian original) Zbl 1407.34031

Dokl. Math. 98, No. 1, 338-340 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 481, No. 3, 247-249 (2018).
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Approximation of solution components for ill-posed problems by the Tikhonov method with total variation. (English. Russian original) Zbl 06936001

Dokl. Math. 97, No. 3, 266-270 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 480, No. 6, 639-643 (2018).
MSC:  65-XX 47-XX
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Hardy-Steklov operators and duality principle in weighted Sobolev spaces of the first order. (English. Russian original) Zbl 1403.47004

Dokl. Math. 97, No. 3, 232-235 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 480, No. 2, 150-154 (2018).
MSC:  47G10 46A20 46E35
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Inverse problem for a differential operator with nonseparated boundary conditions. (English. Russian original) Zbl 1396.34007

Dokl. Math. 97, No. 2, 181-183 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 6, 616-619 (2018).
MSC:  34A55 47E05 34B09
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Analogue of Maslov’s canonical operator for localized functions and its applications to the description of rapidly decaying asymptotic solutions of hyperbolic equations and systems. (English. Russian original) Zbl 1407.35028

Dokl. Math. 97, No. 2, 177-180 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 6, 611-615 (2018).
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To the spectral theory of one-dimensional matrix Dirac operators with point matrix interactions. (English. Russian original) Zbl 1494.47071

Dokl. Math. 97, No. 2, 115-121 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 2, 117-125 (2018).
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One-point commuting difference operators of rank one and their relation with finite-gap Schrödinger operators. (English. Russian original) Zbl 06892226

Dokl. Math. 97, No. 1, 62-64 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 4, 392-394 (2018).
MSC:  47-XX 65-XX
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Eigenvalue dynamics of a \(\mathcal{PT}\)-symmetric Sturm-Liouville operator and criteria for similarity to a self-adjoint or a normal operator. (English. Russian original) Zbl 1385.81021

Dokl. Math. 96, No. 3, 607-611 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 5, 523-528 (2017); erratum ibid. 97, No. 2, 197 (2018).
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Preservation of the existence of fixed and coincidence points under homotopy of mappings of ordered sets. (English. Russian original) Zbl 1387.55005

Dokl. Math. 96, No. 3, 591-593 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 4, 402-405 (2017).
MSC:  55M20 54H25 47H10
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Inequalities for Hardy-type operators on the cone of decreasing functions in a weighted Orlicz space. (English. Russian original) Zbl 1489.47057

Dokl. Math. 96, No. 3, 553-557 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 2, 133-137 (2017).
MSC:  47B38 46E35 47A30
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Coincidence points of multivalued mappings in \((q_1,q_2)\)-quasimetric spaces. (English. Russian original) Zbl 1410.54045

Dokl. Math. 96, No. 2, 438-441 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 2, 129-132 (2017).
MSC:  54H25 47H10
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Boundedness of a class of quasilinear operators on the cone of monotone functions. (English. Russian original) Zbl 1489.47071

Dokl. Math. 94, No. 3, 697-702 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 6, 645-650 (2016).
MSC:  47G10
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Analogues of Feynman formulas for ill-posed problems associated with the Schrödinger equation. (English. Russian original) Zbl 1372.35353

Dokl. Math. 94, No. 3, 654-658 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 3, 275-280 (2016).
MSC:  35R25 47D08
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Solvability conditions of a boundary value problem with operator coefficients and related estimates of the norms of intermediate derivative operators. (English. Russian original) Zbl 1361.35055

Dokl. Math. 94, No. 2, 566-568 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 470, No. 5, 511-513 (2016).
MSC:  35J25 47A50
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Operator Newton polynomials and well-solvable problems for generalized Euler equation. (English. Russian original) Zbl 06688866

Dokl. Math. 94, No. 2, 514-516 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 470, No. 2, 141-143 (2016).
MSC:  47-XX 35Q31
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An operator equation with the second time derivative and Hamiltonian-admissible equations. (English. Russian original) Zbl 06688859

Dokl. Math. 94, No. 2, 487-489 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 470, No. 1, 7-9 (2016).
MSC:  47-XX
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Uniqueness of reconstruction of the Sturm-Liouville problem with spectral polynomials in nonseparated boundary conditions. (English. Russian original) Zbl 1364.34022

Dokl. Math. 94, No. 1, 461-463 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 6, 659-661 (2016).
MSC:  34A55 34B24 47E05
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Elliptic expansion-contraction problems on manifolds with boundary. (English. Russian original) Zbl 1354.58020

Dokl. Math. 94, No. 1, 393-395 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 2, 154-156 (2016).
MSC:  58J32 47A53 35J30
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On admissible changes of variables for Sobolev functions on (sub)Riemannian manifolds. (English. Russian original) Zbl 1365.46030

Dokl. Math. 93, No. 3, 318-321 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 6, 609-613 (2016).
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\(L_\mu\to L_\nu\) equiconvergence of spectral decompositions for a Dirac system with \(L_\kappa\) potential. (English. Russian original) Zbl 1353.47089

Dokl. Math. 93, No. 2, 223-226 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 467, No. 6, 641-644 (2016).
MSC:  47E05 34L40 34L10
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Deficiency numbers of operators generated by infinite Jacobi matrices. (English. Russian original) Zbl 1344.15008

Dokl. Math. 93, No. 2, 170-174 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 467, No. 3, 261-265 (2016).
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One-point commuting difference operators of rank 1. (English. Russian original) Zbl 1361.13012

Dokl. Math. 93, No. 1, 62-64 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 4, 399-401 (2016).
MSC:  13N15 47H30 39A05
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Some boundary value problems for pseudodifferential equations with degeneration. (English. Russian original) Zbl 1342.35464

Dokl. Math. 93, No. 1, 49-51 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 4, 385-388 (2016).
MSC:  35S15 47G30 47G10
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Representations of regularized determinants of exponentials of differential operators by functional integrals. (English. Russian original) Zbl 1347.47024

Dokl. Math. 93, No. 1, 46-48 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 3, 272-275 (2016).
MSC:  47D07
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On the solvability of certain discrete equations and related estimates of discrete operators. (English. Russian original) Zbl 1330.47025

Dokl. Math. 92, No. 2, 585-589 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 6, 651-655 (2015).
MSC:  47A58 45E10 42B20
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On quasipotential operators and Hamiltonian-admissible equations in the mechanics of infinite-dimensional systems. (English. Russian original) Zbl 06537027

Dokl. Math. 92, No. 2, 554-555 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 3, 267-269 (2015).
MSC:  47J35 37K05
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Orthogonal subspaces of the space \(L_2(G)\) and self-adjoint extensions of the curl and gradient-of-divergence operators. (English. Russian original) Zbl 1332.35237

Dokl. Math. 91, No. 3, 313-317 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 3, 278-282 (2015).
MSC:  35P05 35P15 47A10
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Modified steepest descent method for nonlinear irregular operator equations. (English. Russian original) Zbl 1334.65099

Dokl. Math. 91, No. 3, 300-303 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 3, 264-267 (2015).
Reviewer: Zhen Mei (Toronto)
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Boundedness criteria for the Hardy-Steklov operator expressed in terms of a fairway function. (English. Russian original) Zbl 1338.47056

Dokl. Math. 91, No. 2, 197-198 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 4, 398-399 (2015).
MSC:  47G10 45P05 47A30
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A regularized trace formula for a well-perturbed Laplace operator. (English. Russian original) Zbl 1325.35015

Dokl. Math. 91, No. 1, 1-4 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 1, 7-10 (2015).
MSC:  35J05 47A55
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On the semigroups of translations and deformations in anisotropic function spaces with uniform metric. (English. Russian original) Zbl 1325.47087

Dokl. Math. 90, No. 3, 663-665 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 459, No. 1, 14-16 (2014).
MSC:  47D06
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On connection between symmetries of functionals and equations. (English. Russian original) Zbl 1310.47065

Dokl. Math. 90, No. 2, 626-627 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 2, 148-149 (2014).
MSC:  47F05 35A15 35B06
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Optimal calderon space for Bessel potentials. (English. Russian original) Zbl 1309.42028

Dokl. Math. 90, No. 2, 599-602 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 5, 510-513 (2014).
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The best approximation of the differentiation operator by linear bounded operators in the space \(L_2\) on the semiaxis. (English. Russian original) Zbl 1308.47018

Dokl. Math. 90, No. 2, 592-595 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 5, 503-506 (2014).
MSC:  47A58 41A50
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Weight boundedness of a class of quasilinear operators on the cone of monotone functions. (English. Russian original) Zbl 1311.47013

Dokl. Math. 90, No. 2, 569-572 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 3, 268-271 (2014).
MSC:  47A30 26D10
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A generalization of Borg’s uniqueness theorems for a symmetric potential to general boundary conditions. (English. Russian original) Zbl 1318.34027

Dokl. Math. 90, No. 2, 565-568 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 3, 264-267 (2014).
MSC:  34A55 34B24 47E05
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Spectral synthesis in the Schwartz space of infinitely differentiable functions. (English. Russian original) Zbl 1317.47007

Dokl. Math. 90, No. 1, 479-482 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 5, 510-513 (2014).
MSC:  47A15 47E05 46E10
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On superstrictly singular embeddings. (English. Russian original) Zbl 1315.47019

Dokl. Math. 89, No. 3, 317-318 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 3, 284-286 (2014).
MSC:  47B07 47B10
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Hamiltonian functional integrals representing regularized traces of higher-order differential operators. (English. Russian original) Zbl 1306.47055

Dokl. Math. 89, No. 3, 279-282 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 1, 23-26 (2014).
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Elementary transformation semigroups and their generating equations. (English. Russian original) Zbl 1301.47058

Dokl. Math. 89, No. 2, 169-172 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 2, 142-146 (2014).
MSC:  47D06
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Rate of convergence in ergodic theorems for the planar periodic Lorentz gas. (English. Russian original) Zbl 1352.37012

Dokl. Math. 89, No. 2, 139-142 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 1, 11-14 (2014).
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Weighted estimates for a class of sublinear operators. (English. Russian original) Zbl 1310.47066

Dokl. Math. 88, No. 3, 721-723 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 5, 486-488 (2013).
MSC:  47G10 26D10 26D15
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On coincidence points of mappings in partially ordered spaces. (English. Russian original) Zbl 1312.54018

Dokl. Math. 88, No. 3, 710-713 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 5, 475-478 (2013).
MSC:  54H25 54F05 47H10
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Optimal embedding and sharp estimates of the continuity envelope for generalized Bessel potentials. (English. Russian original) Zbl 1307.46023

Dokl. Math. 88, No. 3, 664-668 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 3, 243-246 (2013).
MSC:  46E35 47B06 44A35
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Complex eigenvalues of elliptic operators and an example of inverse problem with nonunique solution. (English. Russian original) Zbl 1301.47029

Dokl. Math. 88, No. 3, 651-654 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 2, 138-141 (2013).
MSC:  47B06 35J25
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Feynman formulas for stochastic and quantum dynamics of particles in multidimensional domains. (English. Russian original) Zbl 1280.81049

Dokl. Math. 88, No. 2, 541-544 (2013); translation from Dokl. Akad. Nauk. 452, No. 3, 256-260 (2013).
MSC:  81Q05 47D08 47D07
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