using a generalized spherical mean operator, we obtain a generalization of titchmarsh&apos;s theorem for the dunkl transform for functions satisfying the (&apos;; p)-dunkl lipschitz condition in the space lp(rd;wl(x)dx), 1 < p 6 2, where wl is a weight function invariant under the action of an associated re ection group.

purpose: to investigate the relationship between higher-order aberrations (hoas) and contrast sensitivity function (csf) in myopes. methods: in this cross-sectional study, hoas and csf were measured in myopic eyes over a 6-mm pupil. pupil diameter was measured in photopic condition. the correlation between hoas and csf was investigated using multivariate linear regression analysis. results: sev...

in this paper, biharmonic slant helices are studied according to bishop frame in the heisenberg group heis3. we give necessary and sufficient conditions for slant helices to be biharmonic. the biharmonic slant helices arecharacterized in terms of bishop frame in the heisenberg group heis3. we give some characterizations for tangent bishop spherical images of b-slant helix. additionally, we illu...

The geometry of quasi-spherical nanoparticles is investigated. The combination of SEM imaging and electrochemical nano-impact experiments is demonstrated to allow sizing and characterization of the geometry of single silver nanoparticles.

purpose: to evaluate the role of active uveitis on refractive errors changes. methods: a cohort single group study was conducted on patients with acute or recurrent uveitis. cyclorefraction was performed in both phases of active and quiescent. sphere, cylinder and sphere equivalent power were compared in active and quiescent phases and analyzed statistically. results: sixty-six patients (eighty...

Our concern is with the construction of a frame in L 2 (S) consisting of smooth functions based on kernels of spherical harmonics. The corresponding decomposition and reconstruction algorithms utilize discrete spherical Fourier transforms. Numerical examples connrm the theoretical expectations. x1. Introduction Traditionally, wavelets were tailored to problems on the Euclidean space IR d. Howev...

Introduction. A number of authors [C], [DW1], [DW2], [L], [T] have studied minimal isometric immersions of Riemannian manifolds into round spheres, and in particular of round spheres into round spheres. As was observed by T. Takahashi [T], if Φ:M → S(r) ⊂ R is such a minimal immersion, then the components of Φ must be eigenfuctions of the Laplace operator on M for the same eigenvalue. And conve...

Abstract A new type of ceramic armor structure is designed by using spherical cylindrical splice plate as panel with metal steel frame applied, TC4 titanium alloy and 685 back respectively in this paper. Ballistic test was carried out firing 14.5mm penetrator projectile ballistic gun. Results show that: damage area smaller when the weight lighter aftereffect similar, performance better than tha...

In this paper, we deal with the problem of spherical interpolation of discretely given data of tensorial type. To this end, spherical tensor elds are investigated and a decomposition formula is described. It is pointed out that the decomposition formula is of importance for the spectral analysis of the gra-vitational tensor in (spaceborne) gradiometry. Tensor spherical harmonics are introduced ...

The standard mathematical approach used in deriving equations to describe the apparent motion and position of the Sun is spherical trigonometry. Additionally, the derivation of the equations for the intensity of the direct beam radiation, incident on the surface of a solar collector or architectural surface, also generally relies on the same approach. An alternative approach utilizing vector an...