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   Articles with "hyperbolic spaces" as a keyword



Fourier analysis and optimal Hardy–Adams inequalities on hyperbolic spaces of any even dimension

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recommendations! Published in 2018 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2018.05.035

Abstract: Abstract Recently, the second and third authors established the sharp Hardy–Adams inequalities of second order derivatives with the best constants on the hyperbolic space B 4 of dimension four ( [40] , Adv. Math. (2017)).… read more here.

Keywords: hyperbolic spaces; sharp hardy; hardy adams; even dimension ... See more keywords

Higher order Brezis-Nirenberg problem on hyperbolic spaces: Existence, nonexistence and symmetry of solutions

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recommendations! Published in 2022 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2022.108259

Abstract: The main purpose of this paper is to establish the existence, nonexistence and symmetry of nontrivial solutions to the higher order Brezis-Nirenberg problems associated with the GJMS operators $P_k$ on bounded domains in the hyperbolic… read more here.

Keywords: nonexistence symmetry; higher order; hyperbolic spaces; existence nonexistence ... See more keywords

Quantitative translations for viscosity approximation methods in hyperbolic spaces

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recommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2021.125823

Abstract: In the setting of hyperbolic spaces, we show that the convergence of Browder-type sequences and Halpern iterations respectively entail the convergence of their viscosity version with a Rakotch map. We also show that the convergence… read more here.

Keywords: viscosity; hyperbolic spaces; quantitative translations; browder type ... See more keywords

Accelerating Hyperbolic t-SNE

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recommendations! Published in 2024 at "IEEE Transactions on Visualization and Computer Graphics"

DOI: 10.1109/tvcg.2024.3364841

Abstract: The need to understand the structure of hierarchical or high-dimensional data is present in a variety of fields. Hyperbolic spaces have proven to be an important tool for embedding computations and analysis tasks as their… read more here.

Keywords: hyperbolic sne; hyperbolic spaces; accelerating hyperbolic;