We characterize the irreducible, admissible, spherical representations of GSp4(F ) (where F is a p-adic field) that occur in certain CAP representations in terms of relations satisfied by their spherical vector in a special Bessel model. These local relations are analogous to the Maass relations satisfied by the Fourier coefficients of Siegel modular forms of degree 2 in the image of the Saito-...

We consider a family of surfaces of revolution ranging between a disc and a hemisphere, that is spherical caps. For this family, we study the spectral density in the ray limit and arrive at a trace formula with geodesic polygons describing the spectral fluctuations. When the caps approach the hemisphere the spectrum becomes equally spaced and highly degenerate whereas the derived trace formula ...

Background and purpose: Cancer is one of the major health challenges in the world. The efficacy of current treatments is low but their side effects are high. Cold atmospheric plasma (CAP) is a new modality for cancer treatment. This study aimed to compare the cytotoxicity effect of CAP on the cell line models of common cancers and normal cells. Materials and methods: In this experimental study...

purpose : to determine the association between astigmatism and spherical refractive error in a clinical population methods : in this cross-sectional study, 2,000 patients who presented to our optometry clinic were enrolled. all were tested for objective refraction with a nidek ar-310a auto refractometer, and non-cycloplegic refraction. for those under 15 years of age, cycloplegic refraction was...

Exact analytical solutions are derived for the Stokes flows within evaporating sessile drops of spherical and cylindrical cap shapes. The results are valid for all contact angles. Solutions are obtained for arbitrary evaporative flux distributions along the free surface as long as the flux is bounded at the contact line. Specific results and computations are presented for evaporation correspond...

objective(s): the aim of the present study is to determine the effect of chloramphenicol (cap) on rat liver and small intestine. effect of phenobarbital (pb) on cap toxicity was also investigated.   materials and methods:   rats were received cap at doses of 0, 200, 400 and 600 mg/kg. another group was pretreated with 80 mg/kg pb 30 min prior to administration of various doses of cap. the exper...

For d > 2, we consider asymptotically equidistributed sequences of Sd codes, with an upper bound δ on spherical cap discrepancy, and a lower bound ∆ on separation. For such sequences, if 0 < s < d, then the difference between the normalized Riesz s energy of each code, and the normalized s-energy double integral on the sphere is bounded above by O ( δ 1−s/d ∆−s N−s/d ) , where N is the number o...

In this document, we provide supplementary details on various topics discussed from the main paper. In Sec. 2, we give a short background of the Representation theory framework that we used in our derivation for the spherical domain Monte Carlo (MC) variance formulation. In Sec. 3, we provide additional theoretical background of projective 2-space that allows spectral analysis of hemispherical ...