zbMath0809.22001MaRDI QIDQ4309258
A. U. Klimyk, N. Ya. Vilenkin
Publication date: 12 October 1994
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Are orthogonal separable coordinates really classified?,
Generalizations of the Busemann-Petty problem for sections of convex bodies,
Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group,
Reconstruction of functions from their integrals over \(k\)-planes,
Open strings in Lie groups and associative products,
Introduction to Random Walks on Noncommutative Spaces,
Radon transforms on affine Grassmannians,
Symmetric pairs, Gelfand pairs and pairs such that generating functions of zonal spherical functions define unitary operators -- the case of the compact type,
Fourier-Jacobi expansion of automorphic forms on \(\text{Sp}(1,q)\) generating quaternionic discrete series,
Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces,
The lower dimensional Busemann-Petty problem for bodies with the generalized axial symmetry,
On the block structure of the quantum ℛ-matrix in the three-strand braids,
A Laplace operator and harmonics on the quantum complex vector space,
Exact duality transformations for sigma models and gauge theories,
Vacuum orbit and spontaneous symmetry breaking in hyperbolic sigma-models,
A Ponzano-Regge model of Lorentzian 3-dimensional gravity,
Approximations in \(L^1\) with convergent Fourier series,
\(L^p\) joint eigenfunction bounds on quaternionic spheres,
Structure of the space of ground states in systems with non-amenable symmetries,
Unnamed Item,
Classical Klein-Gordon solutions, symplectic structures, and isometry actions on AdS spacetimes,
The Radon transform between monogenic and generalized slice monogenic functions,
Tensor- and spinor-valued random fields with applications to continuum physics and cosmology,
Generalized Bernstein-Reznikov integrals,
\(\mathcal{N} = 4\) scattering amplitudes and the deformed Graßmannian,
Sharp Hardy-Littlewood-Sobolev inequalities on quaternionic Heisenberg groups,
Convergence in total variation for nonlinear functionals of random hyperspherical harmonics,
Higher-rank Radon transforms on constant curvature spaces,
Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere,
Schoenberg's theorem for real and complex Hilbert spheres revisited,
Sharp constants in several inequalities on the Heisenberg group,
Special functions associated with \(K\)-types of degenerate principal series of \(\mathrm{Sp}(n,\mathbb{C})\),
Irreducibility of unitary group representations and reproducing kernels Hilbert spaces. Appendix on two point homogeneous compact ultrametric spaces in collaboration with Rostislav Grigorchuk.,
Spinor-valued \(L^2\)-spaces on \(S^{m-1}\) and representations of \(\mathrm{Spin}^+(1,m)\),
End point estimates for Radon transform of radial functions on non-Euclidean spaces,
Volumes of compact manifolds,
Generalized splines for Radon transform on compact Lie groups with applications to crystallography,
Hagedorn wavepackets in time-frequency and phase space,
Finite Gel'fand pairs and their applications to probability and statistics,
Non-central potentials related to the Lie algebra \(\mathfrak u(4)\),
Conformal wave expansions for flat space amplitudes,
Unitary representations of three dimensional Lie groups revisited: A short tutorial via harmonic functions,
New inversion formulas for the horospherical transform,
New upper bounds for kissing numbers from semidefinite programming,
A tribute to Dennis Stanton,
Taylor series in Hermitean Clifford analysis,
The tree method for multidimensional \(q\)-Hahn and \(q\)-Racah polynomials,
A spin foam model without bubble divergences,
Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space,
Twist decomposition of nonlocal light-cone operators. II: General tensors of 2nd rank,
Multivariate hypergeometric functions as \(\tau\)-functions of Toda lattice and Kadomtsev-Petviashvili equation,
Generalized Euler angle parameterization for \(\text{U}(N)\) with applications to \(\text{SU}(N)\) coset volume measures,
Non-commutative space-time and the uncertainty principle,
Power corrections of off-forward quark distributions and harmonic operators with definite geometric twist,
Curvature Conditions on Riemannian Manifolds with Brownian Harmonicity Properties,
HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations,
S-duality as a \(\beta\)-deformed Fourier transform,
Kinematical reduction of spatial degrees of freedom and holographic relation in Yang's quantized space-time algebra,
Sampling, splines and frames on compact manifolds,
On the theory of continuous-spin particles: wavefunctions and soft-factor scattering amplitudes,
Spherical continuous wavelet transforms arising from sections of the Lorentz group,
Radon transform of Lp -functions on the Lobachevsky space and hyperbolic wavelet transforms,
Generalized Taylor series in hermitian Clifford analysis,
Nodal solutions for the fractional Yamabe problem on Heisenberg groups,
Radon transforms over lower-dimensional horospheres in real hyperbolic space,
Efficient computation of Fourier transforms on compact groups,
Symbolic Algorithm for Generating Irreducible Rotational-Vibrational Bases of Point Groups,
Non-commutative probability and non-commutative processes: Beyond the Heisenberg algebra,
Convolution-backprojection method for the \(k\)-plane transform, and Calderón's identity for ridgelet transforms,
Entropic integrals of orthogonal hypergeometric polynomials with general supports,
The basis of the physical Hilbert space of lattice gauge theories,
Inversion formulas of integral geometry in real hyperbolic space,
Strichartz estimates for the Schrödinger equation for the sublaplacian on complex spheres,
The defect of random hyperspherical harmonics,
Lower bounds for measurable chromatic numbers,
Wavepackets on De Sitter Spacetime,
Radon, cosine and sine transforms on real hyperbolic space,
Separation coordinates, moduli spaces and Stasheff polytopes,
Zonal functions for the unitary groups and applications to Hermitian lattices.,
Inversion formulas for the spherical Radon transform and the generalized cosine transform.,
The 𝒫(𝜑)₂ Model on de Sitter Space