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Hypercontractivity in Non-Commutative Holomorphic Spaces.
- Published in:
- Communications in Mathematical Physics, 2005, v. 259, n. 3, p. 615, doi. 10.1007/s00220-005-1379-5
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- Article
Zeta Functions for the Spectrum of the Non-Commutative Harmonic Oscillators.
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- Communications in Mathematical Physics, 2005, v. 258, n. 3, p. 697, doi. 10.1007/s00220-005-1308-7
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- Article
Deformation Quantization and the Baum–Connes Conjecture.
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- Communications in Mathematical Physics, 2003, v. 237, n. 1/2, p. 87, doi. 10.1007/s00220-003-0838-0
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- Article
Categories of Holomorphic Vector Bundles on Noncommutative Two-Tori.
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- Communications in Mathematical Physics, 2003, v. 236, n. 1, p. 135, doi. 10.1007/s00220-003-0813-9
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- Article
Deformed Calabi--Yau completions.
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- Journal für die Reine und Angewandte Mathematik, 2011, v. 2011, n. 654, p. 125, doi. 10.1515/CRELLE.2011.031
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- Article
Noncommutative geometry as a framework for unification of all fundamental interactions including gravity. Part I.
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- Fortschritte der Physik / Progress of Physics, 2010, v. 58, n. 6, p. 553, doi. 10.1002/prop.201000069
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On Poisson energy.
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- Fortschritte der Physik / Progress of Physics, 2008, v. 56, n. 4/5, p. 0
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- Article
The tensor product of supersymmetric N=(1,1) spectral data.
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- International Journal of Geometric Methods in Modern Physics, 2018, v. 15, n. 12, p. N.PAG, doi. 10.1142/S0219887818502079
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- Article
The Gribov problem in noncommutative gauge theory.
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- International Journal of Geometric Methods in Modern Physics, 2018, v. 15, n. 7, p. N.PAG, doi. 10.1142/S0219887818501190
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- Article
Remarks on regular black holes.
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- International Journal of Geometric Methods in Modern Physics, 2018, v. 15, n. 2, p. -1, doi. 10.1142/S0219887818500184
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- Article
Multiverse effects on the CMB angular correlation function in the framework of NCG.
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- International Journal of Geometric Methods in Modern Physics, 2017, v. 14, n. 4, p. -1, doi. 10.1142/S0219887817500542
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- Article
Arik-Coon -oscillator cat states on the noncommutative complex plane and their nonclassical properties.
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- International Journal of Geometric Methods in Modern Physics, 2017, v. 14, n. 4, p. -1, doi. 10.1142/S0219887817500608
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- Article
Remarks on generalized Fedosov algebras.
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- International Journal of Geometric Methods in Modern Physics, 2015, v. 12, n. 9, p. -1, doi. 10.1142/S0219887815500966
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- Article
Integral calculus on quantum exterior algebras.
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- International Journal of Geometric Methods in Modern Physics, 2014, v. 11, n. 4, p. -1, doi. 10.1142/S0219887814500261
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- Article
THE SEIBERG-WITTEN MAP FOR NON-COMMUTATIVE PURE GRAVITY AND VACUUM MAXWELL THEORY.
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- International Journal of Geometric Methods in Modern Physics, 2013, v. 10, n. 6, p. -1, doi. 10.1142/S0219887813500230
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- Article
PRODUCT OF REAL SPECTRAL TRIPLES.
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- International Journal of Geometric Methods in Modern Physics, 2011, v. 8, n. 8, p. 1833
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BUILDING COSMOLOGICAL MODELS VIA NONCOMMUTATIVE GEOMETRY.
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- International Journal of Geometric Methods in Modern Physics, 2011, v. 8, n. 5, p. 1131, doi. 10.1142/S0219887811005592
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- Article
A MATRIX MODEL FOR $\nu_{k_1k_2} = {k_1+k_2 \over k_1 k_2}$ FRACTIONAL QUANTUM HALL STATES.
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- International Journal of Geometric Methods in Modern Physics, 2011, v. 8, n. 3, p. 557, doi. 10.1142/S0219887811005270
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- Article
NON-COMMUTATIVE KERR BLACK HOLE.
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- International Journal of Geometric Methods in Modern Physics, 2011, v. 8, n. 3, p. 657, doi. 10.1142/S0219887811005324
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- Article
FRACTIONAL DIRAC OPERATORS AND LEFT-RIGHT FRACTIONAL CHAMSEDDINE–CONNES SPECTRAL BOSONIC ACTION PRINCIPLE IN NONCOMMUTATIVE GEOMETRY.
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- International Journal of Geometric Methods in Modern Physics, 2010, v. 7, n. 1, p. 95, doi. 10.1142/S0219887810003951
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- Article
COMPLEXIFIED FRACTIONAL HEAT KERNEL AND PHYSICS BEYOND THE SPECTRAL TRIPLET ACTION IN NONCOMMUTATIVE GEOMETRY.
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- International Journal of Geometric Methods in Modern Physics, 2009, v. 6, n. 6, p. 941, doi. 10.1142/S0219887809003850
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GENERAL SOLUTION OF THE QUANTUM DAMPED HARMONIC OSCILLATOR II:: SOME EXAMPLES.
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- International Journal of Geometric Methods in Modern Physics, 2009, v. 6, n. 2, p. 225, doi. 10.1142/S0219887809003497
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COMMENTS ON HIGHER-SPIN SYMMETRIES.
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- International Journal of Geometric Methods in Modern Physics, 2009, v. 6, n. 2, p. 285, doi. 10.1142/S0219887809003527
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NONCOMMUTATIVE DESCRIPTION OF SPIN HALL EFFECT.
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- International Journal of Geometric Methods in Modern Physics, 2009, v. 6, n. 2, p. 343, doi. 10.1142/S0219887809003539
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FRACTIONAL LAGRANGIAN FORMULATION OF GENERAL RELATIVITY AND EMERGENCE OF COMPLEX, SPINORIAL AND NONCOMMUTATIVE GRAVITY.
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- International Journal of Geometric Methods in Modern Physics, 2009, v. 6, n. 1, p. 25, doi. 10.1142/S021988780900345X
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A VARIATIONAL FORMULATION OF SYMPLECTIC NONCOMMUTATIVE MECHANICS.
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- International Journal of Geometric Methods in Modern Physics, 2007, v. 4, n. 5, p. 789, doi. 10.1142/S0219887807002296
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- Article
2-ρ-DERIVATIONS ON A ρ-ALGEBRA AND APPLICATIONS TO THE QUATERNIONIC ALGEBRA.
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- International Journal of Geometric Methods in Modern Physics, 2007, v. 4, n. 3, p. 457
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- Article
QUANTUM DIAGONALIZATION METHOD IN THE TAVIS–CUMMINGS MODEL.
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- International Journal of Geometric Methods in Modern Physics, 2005, v. 2, n. 3, p. 425, doi. 10.1142/S021988780500065X
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- Article
THE NOTION OF DIMENSION IN GEOMETRY AND ALGEBRA.
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- Bulletin (New Series) of the American Mathematical Society, 2006, v. 43, n. 2, p. 139, doi. 10.1090/S0273-0979-06-01081-0
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- Article
ON THE QUESTION OF REGULAR SOLITONS IN A NONCOMMUTATIVE MAXWELL–CHERN–SIMONS–HIGGS MODEL.
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- Modern Physics Letters A, 2007, v. 22, n. 15, p. 1113, doi. 10.1142/S0217732307021457
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EXACT SEIBERG–WITTEN MAP AND INDUCED GRAVITY FROM NONCOMMUTATIVITY.
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- Modern Physics Letters A, 2006, v. 21, n. 35, p. 2637, doi. 10.1142/S0217732306021682
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NONLOCAL REGULARISATION OF NONCOMMUTATIVE FIELD THEORIES.
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- Modern Physics Letters A, 2006, v. 21, n. 24, p. 1851, doi. 10.1142/S021773230602113X
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PREFACE.
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- Modern Physics Letters A, 2005, v. 20, n. 17/18, p. 3, doi. 10.1142/S021773230501772X
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- Article
WHAT KIND OF NONCOMMUTATIVE GEOMETRY FOR QUANTUM GRAVITY?
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- Modern Physics Letters A, 2005, v. 20, n. 17/18, p. 1315, doi. 10.1142/S0217732305017780
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HIGH-FREQUENCY FUZZ.
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- Modern Physics Letters A, 2005, v. 20, n. 17/18, p. 1327
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Topological Charge of Noncommutative ADHM Instanton.
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- Modern Physics Letters A, 2003, v. 18, n. 24, p. 1691, doi. 10.1142/S0217732303011411
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- Article
Projective Modules over the Fuzzy Four-Sphere.
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- Modern Physics Letters A, 2002, v. 17, n. 33, p. 2189, doi. 10.1142/S021773230200868X
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- Article
Wigner Functions for the Landau Problem in Noncommutative Spaces.
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- Modern Physics Letters A, 2002, v. 17, n. 29, p. 1937, doi. 10.1142/S0217732302008356
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- Article
On Low-Energy Effective Action of Noncommutative Hypermultiplet Model.
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- Modern Physics Letters A, 2001, v. 16, n. 40, p. 2591, doi. 10.1142/S0217732301006016
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- Article
Non-commutative stochastic independence and cumulants.
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- Infinite Dimensional Analysis, Quantum Probability & Related Topics, 2017, v. 20, n. 2, p. -1, doi. 10.1142/S0219025717500102
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- Article
Strong convergence for reduced free products.
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- Infinite Dimensional Analysis, Quantum Probability & Related Topics, 2016, v. 19, n. 2, p. -1, doi. 10.1142/S0219025716500089
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- Article
REPRESENTATIONS OF LIE ALGEBRAS BUILT OVER HILBERT SPACE.
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- Infinite Dimensional Analysis, Quantum Probability & Related Topics, 2011, v. 14, n. 3, p. 419, doi. 10.1142/S0219025711004468
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- Article
EXPLICIT SOLUTION FORMULAS FOR THE MATRIX-KP.
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- Glasgow Mathematical Journal, 2009, v. 51, n. A, p. 147, doi. 10.1017/S0017089508004862
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A NON-COMMUTATIVE SEMI-DISCRETE TODA EQUATION AND ITS QUASI-DETERMINANT SOLUTIONS.
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- Glasgow Mathematical Journal, 2009, v. 51, n. A, p. 121, doi. 10.1017/S0017089508004837
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- Article
BÄCKLUND TRANSFORMATIONS FOR NON-COMMUTATIVE ANTI-SELF-DUAL YANG–MILLS EQUATIONS.
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- Glasgow Mathematical Journal, 2009, v. 51, n. A, p. 83, doi. 10.1017/S0017089508004801
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- Article
Relativistic differential-difference momentum operators and noncommutative differential calculus.
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- Physics of Atomic Nuclei, 2013, v. 76, n. 9, p. 1181, doi. 10.1134/S1063778813080218
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Non-commutative Iwasawa theory for elliptic curves with multiplicative reduction.
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- Mathematical Proceedings of the Cambridge Philosophical Society, 2016, v. 160, n. 1, p. 11, doi. 10.1017/S0305004115000535
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A weak type inequality for non-commutative martingales and applications.
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- Proceedings of the London Mathematical Society, 2005, v. 91, n. 2, p. 509, doi. 10.1112/S0024611505015297
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- Article
ON THE GEODESIC FLOW ON THE GROUP OF DIFFEOMORPHISMS OF THE CIRCLE WITH A FRACTIONAL SOBOLEV RIGHT-INVARIANT METRIC.
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- Journal of Nonlinear Mathematical Physics, 2010, v. 17, n. 1, p. 7, doi. 10.1142/S1402925110000544
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A Note on SΦ-Supplemented Subgroups.
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- Ukrainian Mathematical Journal, 2017, v. 68, n. 8, p. 1305, doi. 10.1007/s11253-017-1295-9
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- Article