Výsledky vyhledávání

Dissertation/ Thesis

Bounds on eigenfunctions and spectral functions on manifolds of negative curvature

Autor: Mroz, Kamil

In this dissertation we study the Laplace operator acting on functions on a smooth, compact Riemannian manifold. Our approach is based on the study of the spectrum of the aforementioned operator. The main objects of our interest are the counting func

Externí odkaz: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.617862

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Akademický článek

Cloud and precipitation microphysical retrievals from the EarthCARE Cloud Profiling Radar: the C-CLD product.

Autor: Mroz, Kamil¹ (AUTHOR) kamil.mroz@le.ac.uk, Treserras, Bernat Puidgomènech² (AUTHOR), Battaglia, Alessandro^1,3,4 (AUTHOR), Kollias, Pavlos^2,5 (AUTHOR), Tatarevic, Aleksandra² (AUTHOR), Tridon, Frederic³ (AUTHOR)

Publikováno v: Atmospheric Measurement Techniques. 2023, Vol. 16 Issue 11, p2865-2888. 24p.

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Riesz means of the counting function of the Laplace operator on compact manifolds of non-positive curvature

Autor: Mroz, Kamil, Strohmaier, Alexander

Let $(M, {g})$ be a compact, $d$-dimensional Riemannian manifold without boundary. Suppose further that $(M,g)$ is either two dimensional and has no conjugate points or $(M,g)$ has non-positive sectional curvature. The goal of this note is to show th

Externí odkaz: http://arxiv.org/abs/1409.1869

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Explicit bounds on eigenfunctions and spectral functions on manifolds hyperbolic near a point

Autor: Mroz, Kamil, Strohmaier, Alexander

Publikováno v: J. London Math. Soc. (2014) 89 (3): 917-940

We derive explicit bounds for the remainder term in the local Weyl law for locally hyperbolic manifolds, we also give the estimates of the derivative of this remainder. We use these to obtain explicit bounds for the C^k-norms of the L^2-normalised ei

Externí odkaz: http://arxiv.org/abs/1305.3771

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