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We show an analogue of the Klain-Schneider theorem for valuations that are invariant under rotations around a fixed axis, called zonal. Using this, we establish a new integral representation of zonal valuations involving mixed area measures with a di
Externí odkaz:
http://arxiv.org/abs/2410.18651
We investigate the action of Alesker's Lefschetz operators on translation invariant valuations on convex bodies. For scalar valued valuations, we describe this action on the level of Klain-Schneider functions by a Radon type transform, generalizing a
Externí odkaz:
http://arxiv.org/abs/2402.14731
Autor:
Brauner, Leo, Ortega-Moreno, Oscar
We characterize rotation equivariant bounded linear operators from $C(\mathbb{S}^{n-1})$ to $C^2(\mathbb{S}^{n-1})$ by the mass distribution of the spherical Laplacian of their kernel function on small polar caps. Using this characterization, we show
Externí odkaz:
http://arxiv.org/abs/2302.11973
Akademický článek
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Autor:
Brauner, Leo, Ortega-Moreno, Oscar
Publikováno v:
Transactions of the American Mathematical Society; Jan2025, Issue 1, p159-199, 41p
Autor:
Brauner, Leo
The Brunn-Minkowski inequality is one of the most central results in modern convex geometry and is closely related to many other important geometric inequalities. In recent years, efforts have been made to generalize the Brunn-Minkowski inequality to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::058f4678a57d7a85acc9655b83159a12
Autor:
Brauner, Leo
Publikováno v:
Planta, 1959 Jan 01. 53(5), 449-483.
Externí odkaz:
https://www.jstor.org/stable/23363714
Autor:
Brauner, Leo
Publikováno v:
Fortschrittsberichte Über Kolloide Und Polymere; Nov1926, Vol. 23 Issue 1, p143-152, 10p
Autor:
Brauner, Leo, Brauner, Marianne
Publikováno v:
Protoplasma; 1937, Vol. 28 Issue 1, p230-261, 32p