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2016, Second edition., Graduate studies in mathematics, ISBN 1470409860, Volume 175., xviii, 453 pages
Book
2017, Graduate studies in mathematics, ISBN 9781470436605, Volume 185, xi, 289 pages
Book
Communications in Mathematical Physics, ISSN 0010-3616, 10/2017, Volume 355, Issue 2, pp. 561 - 602
...Digital Object Identifier (DOI) 10.1007/s00220-017-2965-z Commun. Math. Phys. 355, 561–602 (2017) Communications in Mathematical Physics Differential T opology... 
Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | PHASES | BUNDLES | EULER STRUCTURES | INVARIANTS | TORSION | SYSTEMS | VECTOR-FIELDS | PHYSICS, MATHEMATICAL | DISCOVERY | EDGE STATES
Journal Article
Nonlinear analysis. Hybrid systems, ISSN 1751-570X, 02/2018, Volume 27, pp. 13 - 28
In this paper, asymptotic behavior analysis is addressed for a class of nonlinear complex-valued impulsive differential systems with time-varying delays... 
Exponentially attractive set | Complex-valued | Impulsive | Weak-invariant set | Delay | MATHEMATICS, APPLIED | EXPONENTIAL STABILITY | GLOBAL STABILITY | STABILIZATION | INEQUALITY | EQUATIONS | RECURRENT NEURAL-NETWORKS | ROBUST STABILITY ANALYSIS | SAMPLED-DATA SYSTEMS | QUANTUM-SYSTEMS | AUTOMATION & CONTROL SYSTEMS
Journal Article
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 02/2018, Volume 14
.... In this paper we construct complexes of invariant differential operators which live on homogeneous spaces of $|2... 
Weighted jets | Penrose transform | Relative BGG complexes | Complexes of invariant differential operators | Formal exactness | Mathematics - Differential Geometry
Journal Article
Geometric and Functional Analysis, ISSN 1016-443X, 4/2014, Volume 24, Issue 2, pp. 403 - 492
.... We then apply this method to give a thorough account of the integral geometry of the complex space forms, i.e... 
Analysis | Mathematics | MATHEMATICS | CURVATURE MEASURES | SETS | TUBES | MULTIPLICATIVE STRUCTURE | MANIFOLDS | INVARIANT VALUATIONS | Valuation | Mathematics - Differential Geometry
Journal Article
Journal of mathematical imaging and vision, ISSN 1573-7683, 2019, Volume 62, Issue 1, pp. 120 - 148
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 11/2017, Volume 58, Issue 11, p. 111512
We give a geometric construction of the Bernstein-Gel’fand-Gel’fand (BGG) resolutions in singular infinitesimal character in the case of 1-graded complex Lie... 
MODULES | SEQUENCES | PHYSICS, MATHEMATICAL | INVARIANT OPERATORS | Lie groups | Mathematics - Differential Geometry
Journal Article
European Journal of Cancer, ISSN 0959-8049, 2009, Volume 45, Issue 9, pp. 1654 - 1663
Journal Article
Annals of global analysis and geometry, ISSN 1572-9060, 2019, Volume 56, Issue 4, pp. 631 - 665
Journal Article
Journal of Topology, ISSN 1753-8416, 12/2017, Volume 10, Issue 4, pp. 995 - 1028
...) case, the Donaldson–Uhlenbeck compactification is not a complex space, and the set U ss can be a complicated subset of the base space U that is neither open or closed in the classical topology, nor locally closed in the Zariski topology... 
32G13 | 53C07 | 53C55 (primary) | EXT | MATHEMATICS | CLASS-VII SURFACES | SPACES | STABLE VECTOR-BUNDLES | CONNECTIONS | DONALDSON POLYNOMIAL INVARIANTS | Complex Variables | Differential Geometry | Mathematics
Journal Article
Advances in Mathematics, ISSN 0001-8708, 09/2016, Volume 300, pp. 473 - 504
We define and study representation categories based on Deligne categories Rep(GLt), Rep(Ot), Rep(Sp2t), where t is any (non-integer) complex number. Namely... 
Symmetric tensor category | Deligne category | Complex rank | LIE-ALGEBRAS | MATHEMATICS | INVARIANT DIFFERENTIAL OPERATORS | Analysis | Algebra
Journal Article
International Journal of Dynamics and Control, ISSN 2195-268X, 6/2019, Volume 7, Issue 2, pp. 496 - 509
.... We have found Lie point symmetries of this equation and then we reduced combined MCBS–nMCBS equation to ordinary differential equation through two successive reductions... 
Conservation laws | Engineering | Vibration, Dynamical Systems, Control | Lie point symmetries | Invariant solution | Control and Systems Theory | Optimal system | ( $$2+1$$ 2 + 1 )-Dimensional combined MCBS–nMCBS equation | Complexity | (2 + 1)-Dimensional combined MCBS–nMCBS equation
Journal Article
European physical journal plus, ISSN 2190-5444, 2018, Volume 133, Issue 1, pp. 1 - 15
In the present paper, a Crank-Nicolson-differential quadrature method (CN-DQM) based on utilizing quintic B-splines as a tool has been carried out to obtain the numerical solutions for the nonlinear Schrödinger (NLS) equation... 
Condensed Matter Physics | Atomic, Molecular, Optical and Plasma Physics | Applied and Technical Physics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | PHYSICS, MULTIDISCIPLINARY | FINITE-ELEMENT-METHOD | SOLITON
Journal Article
Advances in Mathematics, ISSN 0001-8708, 2011, Volume 227, Issue 2, pp. 830 - 846
The space of Minkowski valuations on an m-dimensional complex vector space which are continuous, translation invariant and contravariant under the complex special linear group is explicitly described... 
Convex bodies | Minkowski valuation | Brunn–Minkowski inequality | Projection body | Brunn-Minkowski inequality | MATHEMATICS | CONVEX-BODIES | INTEGRAL GEOMETRY | SETS | MANIFOLDS | INVARIANT VALUATIONS | AFFINE ISOPERIMETRIC-INEQUALITIES | MINKOWSKI VALUATIONS | Valuation | Real property
Journal Article