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Aims: The physics driving features such as breaks observed in galaxy surface brightness (SB) profiles remains contentious. Here, we assess the importance of stellar radial motions in shaping their characteristics. Methods: We use the…

Astrophysics of Galaxies · Physics 2017-12-20 T. Ruiz-Lara , C. G. Few , E. Florido , B. K. Gibson , I. Pérez , P. Sánchez-Blázquez

We use K2 to continue the exploration of the distribution of rotation periods in Pleiades that we began in Paper I. We have discovered complicated multi-period behavior in Pleiades stars using these K2 data, and we have grouped them into…

We continue the study, begun in \cite{FA}, of the critical radius of embeddings, via deterministic spherical harmonics, of fixed dimensional spheres into higher dimensional ones, along with the associated problem of the distribution of the…

Probability · Mathematics 2019-08-06 Renjie Feng , Xingcheng Xu , Robert J. Adler

This paper is a follow-up contribution to our work [20] where we discussed some invariant subspace results for contractions on Hilbert spaces. Here we extend the results of [20] to the context of n-tuples of bounded linear operators on…

Functional Analysis · Mathematics 2015-02-20 Jaydeb Sarkar

Operators of multiplication by independent variables on the space of square summable functions over the torus and its Hardy subspace are considered. Invariant subspaces where the operators are compatible are described.

Functional Analysis · Mathematics 2022-11-04 Zbigniew Burdak , Marek Kosiek , Patryk Pagacz , Marek Słociński

We consider complete non-compact manifolds with either a sub-quadratic growth of the norm of the Riemann curvature, or a sub-quadratic growth of both the norm of the Ricci curvature and the squared inverse of the injectivity radius. We show…

Differential Geometry · Mathematics 2019-03-05 Debora Impera , Michele Rimoldi , Giona Veronelli

We obtain upper bounds for the numerical radius of a product of Hilbert space operators which improve on the existing upper bounds. We generalize the numerical radius inequalities of $n\times n$ operator matrices by using non-negative…

Functional Analysis · Mathematics 2024-08-13 Pintu Bhunia , Kallol Paul

The status of the art for evolutionary models of low mass, population II stars is revisited, stressing the need for the models to be preliminarily tested with suitable observational data. The uncertainties still affecting the theory are…

Astrophysics · Physics 2007-05-23 V. Castellani

This is the direct continuation of the paper "Mapping properties of Fourier transforms" (arXiv:2112.04896) using the same notation as there without further explanations. It deals with continuous and compact mappings of the Fourier transform…

Functional Analysis · Mathematics 2022-01-31 Hans Triebel

We study the behaviour of a radiating star when the interior expanding, shearing fluid particles are traveling in geodesic motion. We demonstrate that it is possible to obtain new classes of exact solutions in terms of elementary functions…

General Relativity and Quantum Cosmology · Physics 2011-08-23 S. Thirukkanesh , S. D. Maharaj

Star formation in galaxies is triggered by a combination of processes, including gravitational instabilities, spiral wave shocks, stellar compression, and turbulence compression. Some of these persist in the far outer regions where the…

Astrophysics · Physics 2009-11-13 Bruce G. Elmegreen , Deidre A. Hunter

In this article, we continue our investigations of the boundary behavior of harmonic mappings. We first discuss the classical problem on the growth of radial length and obtain a sharp growth theorem of the radial length of…

Complex Variables · Mathematics 2017-01-27 Shaolin Chen , Saminathan Ponnusamy

In [2] we characterized in terms of a quadratic growth condition various metric regularity properties of the subdifferential of a lower semicontinuous convex function acting in a Hilbert space. Motivated by some recent results in [16] where…

Optimization and Control · Mathematics 2015-07-01 Francisco J. Aragón Artacho , Michel H. Geoffroy

We continue the analysis of reproducing pairs of weakly measurable functions, which generalize continuous frames. More precisely, we examine the case where the defining measurable functions take their values in a partial inner product space…

Functional Analysis · Mathematics 2016-10-12 Jean-Pierre Antoine , Camillo Trapani

We study the longitudinal stability of beam-plasma systems in the presence of a density inhomogeneity in the background plasma. Previous works have focused on the non-relativistic regime where hydrodynamical models are used to evolve…

High Energy Astrophysical Phenomena · Physics 2020-04-08 Mohamad Shalaby , Avery E. Broderick , Philip Chang , Christoph Pfrommer , Ewald Puchwein , Astrid Lamberts

The understanding and modeling of the structure and evolution of stars is based on statistical physics as well as on hydrodynamics. Today, a precise identification and proper description of the physical processes at work in stellar…

Astrophysics · Physics 2018-10-31 Y. Lebreton

In this paper, We define a $\mathcal{F}$-functional and study $\mathcal{F}$-stability of $\lambda$-hypersurfaces, which extend a result of Colding-Minicozzi. Lower bound growth and upper bound growth of area for complete and non-compact…

Differential Geometry · Mathematics 2019-11-05 Qing-Ming Cheng , Guoxin Wei

Accurate determinations of masses and radii in binary stars, along with estimates of the effective temperatures, metallicities, and other properties, have long been used to test models of stellar evolution. As might be expected,…

Solar and Stellar Astrophysics · Physics 2014-03-05 Guillermo Torres

In this paper we continue the investigations initiated in \cite{LopLopstar} on ratio asymptotics of multiple orthogonal polynomials and functions of the second kind associated with Nikishin systems on star-like sets. We describe in detail…

Classical Analysis and ODEs · Mathematics 2023-08-30 Abey López-García , Guillermo López Lagomasino

Stability of radial and nonradial oscillations of massive supergiants is discussed. The kappa-mechanism and strange-mode instability exciteoscillations having various periods in wide ranges of the upper part of the HR diagram. In addition,…

Solar and Stellar Astrophysics · Physics 2015-05-20 Hideyuki Saio