Analysis of the Hodge Laplacian on the Heisenberg group (Q5497104)

scientific article; zbMATH DE number 6394928

Language	Label	Description	Also known as
English	Analysis of the Hodge Laplacian on the Heisenberg group	scientific article; zbMATH DE number 6394928

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instance of

scholarly article

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title

Analysis of the Hodge Laplacian on the Heisenberg group (English)

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3 February 2015

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full work available at URL

https://arxiv.org/abs/1206.4540

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http://hdl.handle.net/2434/246765

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zbMATH Keywords

Hodge Laplacian

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Heisenberg group

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spectral multiplier

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MaRDI profile type

Publication

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cites work

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<i> L <sup>p</sup> </i> -multipliers for Noncompact Symmetric Spaces

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Riesz transform and related inequalities on non‐compact Riemannian manifolds

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About Riesz transforms on the Heisenberg groups

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Spectral multipliers for the Kohn sublaplacian on the sphere in $\mathbb{C}^{n}$

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The differential form spectrum of hyperbolic space

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Harmonic Analysis in Phase Space. (AM-122)

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Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group

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Singular integrals on the complex affine group

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Divergence of eigenfunction expansions

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Riesz transforms for symmetric diffusion operators on complete Riemannian manifolds

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Riesz transforms on forms and $L^p$-Hodge decomposition on complete Riemannian manifolds

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Estimation des projecteurs de De Rham Hodge de certaines variétés riemaniennes non compactes

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Transformees de Riesz et Fonctions Sommables

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Sur les Transformées de Riesz sur les Groupes de Lie Moyennables et sur Certains Espaces Homogènes

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Heat kernels on covering spaces and topological invariants

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Sub-Laplacians of holomorphic $L^p$-type on rank one AN-groups and related solvable groups

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Holomorphic $L^p$-type for sub-Laplacians on connected Lie groups

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Q3148984

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Analysis of joint spectral multipliers on Lie groups of polynomial growth

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Vector-valued multipliers on stratified groups

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$L^{p}$-spectral multipliers for the Hodge Laplacian acting on 1-forms on the Heisenberg group

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Eigenvalues of the Hodge Laplacian on the Heisenberg group

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Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I

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Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. II

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On spectral multipliers for Heisenberg and related groups

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Q3719028

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Q3909512

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Differential forms on contact manifolds

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Sub-Riemannian limit of the differential form spectrum of contact manifolds

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$L^ p$-estimates on functions of the Laplace operator

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Harmonic analysis on the Heisenberg group

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Q5511958

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published in

Memoirs of the American Mathematical Society

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Identifiers

zbMATH Open document ID

1309.43005

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5497104