Keywords: گروه هیزنبرگ; Discrete Littlewood-Paley analysis; Heisenberg group; Flag Hardy spaces; Singular integrals;
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Keywords: گروه هیزنبرگ; 35R03; 35D40; 35K40; Heisenberg group; Viscosity solutions; Weakly coupled parabolic systems;
Keywords: گروه هیزنبرگ; Induced representation; Heisenberg group; Uncertainty principle;
Keywords: گروه هیزنبرگ; 35D40; 35H20; 35J70; Heisenberg group; Degenerate elliptic Pucci operator; Capacity; Polar set; Removability;
Keywords: گروه هیزنبرگ; 11A25; 20D99; Menon's identity; Dirichlet convolution; Jordan's totient function; Cauchy-Frobenius-Burnside lemma; Unipotent group; Heisenberg group;
Keywords: گروه هیزنبرگ; primary; 43A35; secondary; 22E25; Positive definite function; Extension; Nilpotent locally compact group; Heisenberg group;
Keywords: گروه هیزنبرگ; 47G10; 42B30; 22E25; 26D15; Hausdorff operator; Heisenberg group; Hardy space; Riesz transforms; Schrödinger representation;
Keywords: گروه هیزنبرگ; Newton’s method; Heisenberg group; Lipschitz condition
Keywords: گروه هیزنبرگ; Fractional sublaplacian; Heisenberg group; Liouville theorem; Moving plane method
Keywords: گروه هیزنبرگ; primary, 37B45; secondary, 20F22, 37B10Non-abelian group actions on Cantor sets; Group chains; Regularity; Homogeneity; Discriminant group; Heisenberg group; Dihedral group; Odometers; Ellis semigroup
Keywords: گروه هیزنبرگ; Total curvature action; Homogeneous 3-space; Lancret helix; Extremal; Heisenberg group; Closed extremals
Keywords: گروه هیزنبرگ; primary; 43A30; secondary; 46J10; 47B47; Dual convolution; Fourier algebra; Heisenberg group; Weak amenability;
Keywords: گروه هیزنبرگ; Partial regularity; Heisenberg group; Dini continuity; Natural growth condition; A-harmonic approximation technique;
Keywords: گروه هیزنبرگ; Liouville theorem; Keller-Osserman; Heisenberg group; Non-linear differential inequalities;
Keywords: گروه هیزنبرگ; 81S30; 81R05; 47N50; 57S20; 43A65; 22D10Wigner–Moyal transform; Schrödinger representation; Heisenberg group; Kazhdan’s property T; Time-frequency analysis
Nonlinear damped wave equations for the sub-Laplacian on the Heisenberg group and for Rockland operators on graded Lie groups
Keywords: گروه هیزنبرگ; 35L71; 58J45; 22E30; 35L75; Nonlinear damped wave equation; Heisenberg group; Sub-Laplacian; Rockland operator; Graded group; Gagliardo-Nirenberg inequality;
Schrödinger-Hardy systems involving two Laplacian operators in the Heisenberg group
Keywords: گروه هیزنبرگ; 35R03; 35H20; 35J70; 35B33; 35A15; Heisenberg group; Entire solutions; Schrödinger-Hardy systems; Subelliptic critical systems; Le groupe de Heisenberg; Solutions entières; Schrödinger-Hardy systèmes; Systèmes critiques subelliptiques;
Smoothing and non-smoothing via a flow tangent to the Ricci flow
Keywords: گروه هیزنبرگ; primary; 53C44; secondary; 49Q20; 51F99; 51K10; 53C17; Ricci flow; Optimal transport; Euclidean cone; Heisenberg group;
Stable solutions of symmetric systems involving hypoelliptic operators
Keywords: گروه هیزنبرگ; 35R03; 35A23; 53C17; 53C21; 35H10; Hypoelliptic equations; Heisenberg group; Grushin plane; De Giorgi's conjecture;
Degenerate SDEs with singular drift and applications to Heisenberg groups
Keywords: گروه هیزنبرگ; 60H15; 35R60; Degenerate SDEs; Krylov estimate; Zvonkin transformation; Heisenberg group;
Nice error frames, canonical abstract error groups and the construction of SICs
Keywords: گروه هیزنبرگ; primary; 20C25; 42C15; 81P15; 94A15; secondary; 11L03; 14N20; 20C15; 52B11; Nice error frame; Nice error basis; SIC-POVM (symmetric informationally complex positive operator valued measure); Equiangular tight frame; Error operator basis; Zauner's conjectu
Improved Lipschitz approximation of H-perimeter minimizing boundaries
Keywords: گروه هیزنبرگ; 49Q05; 53C17; 28A75; Heisenberg group; Regularity of H-minimal surfaces; Lipschitz approximation;
Cosymplectic p-spheres
Keywords: گروه هیزنبرگ; primary; 53C25; 53D35; Cosymplectic circles; Contact circles; Cosymplectic spheres; 3-Sasakian manifolds; Heisenberg group;
Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group
Keywords: گروه هیزنبرگ; primary; 43A80; secondary; 26D15; 35A08; 46E35; Hardy inequality; Fractional order operator; Sublaplacian; Heisenberg group; Heat semigroup; Fundamental solutions; Uncertainty principle;
Optimal partial regularity for sub-elliptic systems with Dini continuous coefficients under the superquadratic natural growth
Keywords: گروه هیزنبرگ; 35H20; 35B65Optimal partial regularity; Heisenberg group; Sub-elliptic system; Dini continuity coefficient; AA-harmonic approximation
Heisenberg Groups and their Automorphisms over Algebras with Central Involution
Keywords: گروه هیزنبرگ; Heisenberg group; Schrödinger-Weil representation; involutive algebra
Discrete coherent states for higher Landau levels
Keywords: گروه هیزنبرگ; Coherent states; Landau levels; Quantization; Heisenberg group; Affine group; Discrete groups;
Area-stationary and stable surfaces of class C1 in the sub-Riemannian Heisenberg group H1
Keywords: گروه هیزنبرگ; 53C17; 49Q20; Sub-Riemannian geometry; Heisenberg group; Area-stationary surfaces; Stable surfaces; Flux formula; Bernstein's problem;
An extension problem for the CR fractional Laplacian
Keywords: گروه هیزنبرگ; Fractional order operators; Fractional order weighted Sobolev spaces; Sublaplacian; CR manifolds; Heisenberg group
Sasakian metric as a Ricci soliton and related results
Keywords: گروه هیزنبرگ; 53C15; 53C25; 53D10Ricci soliton; Sasakian metric; Null ηη-Einstein; DD-homothetically fixed KK-contact structure; Heisenberg group
Liouville theorem for pseudoharmonic maps from Sasakian manifolds
Keywords: گروه هیزنبرگ; primary; 32V05; 32V20; secondary; 58E20; Liouville theorem; Pseudoharmonic map; Sub-gradient estimate; Sasakian manifold; Heisenberg group;
Sharp subcritical Moser–Trudinger inequalities on Heisenberg groups and subelliptic PDEs
Keywords: گروه هیزنبرگ; Subcritical Moser–Trudinger inequality; Heisenberg group; Sharp constants; Q-Laplace on the Heisenberg group; Nonlinear subelliptic equations; Exponential growth; Existence of solutions
Bracket map for the Heisenberg group and the characterization of cyclic subspaces
Keywords: گروه هیزنبرگ; Heisenberg group; Riesz bases; Frames; Gabor frames; Cyclic subspaces; Fourier transform
Coxeter system of lines and planes are sets of injectivity for the twisted spherical means
Keywords: گروه هیزنبرگ; Coxeter group; Hecke–Bochner identity; Heisenberg group; Laguerre polynomials; Spherical harmonics; Twisted convolution
An innovative nanophotonic information processing concept implementing cogent micro/nanosensors for space robotics
Keywords: گروه هیزنبرگ; GQH, Generalized Quantum Holography; ANN, Artificial neural network; G-BB, G-Based Brain; MQW, Multiple Quantum WellSensors; Robotics; Heisenberg group; Quantum holography; Associative memory; MEMS/NEMS
Equivariant gerbes on complex tori
Keywords: گروه هیزنبرگ; Gerbes; Complex tori; Heisenberg group; Brauer group
Wolff-potential estimates and doubling of subelliptic pp-harmonic measures
Keywords: گروه هیزنبرگ; Heisenberg group; pp-harmonic function; pp-Laplace operator; Quasi-linear; Wolff potential; Vector field; Subelliptic
Evolution equations on Gabor transforms and their applications
Keywords: گروه هیزنبرگ; Evolution equations; Heisenberg group; Differential reassignment; Left-invariant vector fields; Diffusion on Lie groups; Gabor transforms; Medical imaging
The Moser–Trudinger inequality in unbounded domains of Heisenberg group and sub-elliptic equations
Keywords: گروه هیزنبرگ; 46E35; 35H20Trudinger–Moser inequality; Heisenberg group; Subelliptic PDEs; Mountain-pass theorem; Palais–Smale sequence; Existence of solutions
Hardy–Littlewood–Sobolev and Stein–Weiss inequalities and integral systems on the Heisenberg group
Keywords: گروه هیزنبرگ; 42B37; 42B20; 45G15; 45M05; 45E10Weighted Hardy–Littlewood–Sobolev inequalities; Stein–Weiss inequalities; Fractional integrals; Heisenberg group; Regularity estimates; Integral systems; Asymptotic behavior
Sharp Moser–Trudinger inequality on the Heisenberg group at the critical case and applications
Keywords: گروه هیزنبرگ; 42B37; 35J92; 35J62Best constants; Moser–Trudinger inequality; Heisenberg group; Mountain–Pass theorem; Subelliptic equations of exponential growth; QQ-subLaplacian; Existence and multiplicity of nontrivial solutions
Projection and slicing theorems in Heisenberg groups
Keywords: گروه هیزنبرگ; Primary; 28A78; 53C17; Secondary; 28A75; 31E05; 53D12; Hausdorff dimension; Heisenberg group; Isotropic Grassmannian; Projection; Potential theory;
An easy proof of the Stone-von Neumann-Mackey Theorem
Keywords: گروه هیزنبرگ; 43-01; Stone-von Neumann; Mackey; Heisenberg group; Fourier transform; Locally compact abelian group;
Density estimates for a fluid jet model in the Heisenberg group
Keywords: گروه هیزنبرگ; Heisenberg group; Free boundary problems; Density estimates
Keller-Osserman type conditions for differential inequalities with gradient terms on the Heisenberg group
Keywords: گروه هیزنبرگ; Keller-Osserman; Heisenberg group; Differential inequalities; Gradient term;
The superstability of d’Alembert’s functional equation on the Heisenberg group
Keywords: گروه هیزنبرگ; Functional equation; Heisenberg group; Superstability
Semilinear PDEs in the Heisenberg group: The role of the right invariant vector fields
Keywords: گروه هیزنبرگ; Semilinear PDEs; Heisenberg group; Entire solutions; Stability
Gradient estimates for the subelliptic heat kernel on H-type groups
Keywords: گروه هیزنبرگ; Heat kernel; Subelliptic; Hypoelliptic; Heisenberg group; Gradient
Biharmonic curves on an invariant surface
Keywords: گروه هیزنبرگ; 58E20; 53C42Biharmonic curves; Invariant surfaces; Heisenberg group
Liouville theorems for anisotropic quasilinear inequalities
Keywords: گروه هیزنبرگ; Liouville theorems; Anisotropic operator; Quasilinear operator; Carnot group; Heisenberg group