In this article we solve the Cauchy problem associated to a radial symbol constant on a ball of radius pr and we show that the fundamental solution, Z_r(x, t), vanishes outside the ball of radius p-r
The goal of this paper is to show the explicit calculations for the Tate gamma factors, in the case of the quadratic characters attached to the Hilbert symbol.
In this paper we deal with the operator defined as 𝑓(∂,𝛼)𝜙:=−1𝜉→𝑥(|𝑓(𝜉)|𝛼𝑝𝑥→𝜉𝜙), where f(ξ) is an elliptic quadratic form of dimension 3 over ℚ p . We study the Cauchy problem associated that operator, and find the fundamental solution and some …
Bulge–disc decomposition is a valuable tool for understanding galaxies. However, achieving robust measurements of component properties is difficult, even with high-quality imaging, and it becomes even more so with the imaging typical of large …
We investigate the relationship between colour and structure within galaxies using a large, volume-limited sample of bright, low-redshift galaxies with optical–near-infrared imaging from the Galaxy And Mass Assembly survey. We fit single-component, …
In this article we study the Cauchy problem for a new class of parabolic-type pseudodifferential equations with variable coefficients for which the fundamental solutions are transition density functions of Markov processes in the four dimensional …
In this article we study the problem of first return associated to an elliptic pseudodifferential operator with non-radial symbol of dimension 3 over the p-adics.
We demonstrate a new multiwavelength technique for two-dimensional parametric modelling of galaxy surface-brightness profiles, which we have incorporated into the widely used software GALFIT. Our new method, named GALFITM, extends GALFIT3's current …
We study pseudodifferential equations and Riesz kernels attached to certain quadratic forms over p-adic fields. We attach to an elliptic quadratic form of dimension two or four a family of distributions depending on a complex parameter, the Riesz …
In this paper, we demonstrate a new method for fitting galaxy profiles which makes use of the full multiwavelength data provided by modern large optical–near-infrared imaging surveys. We present a new version of GALAPAGOS, which utilizes a recently …