Convolution kernels versus spectral multipliers for sub-Laplacians on groups of polynomial growth
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Publication:2314542
DOI10.1016/j.jfa.2019.05.024zbMath1482.22014arXiv1805.04189OpenAlexW2800736437WikidataQ127752902 ScholiaQ127752902MaRDI QIDQ2314542
Alessio Martini, Fulvio Ricci, Leonardo Tolomeo
Publication date: 29 July 2019
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.04189
Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Other transforms and operators of Fourier type (43A32) (L^1)-algebras on groups, semigroups, etc. (43A20)
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Spectral multipliers on 2-step stratified groups. II, Spectral summability for the quartic oscillator with applications to the Engel group, Spectral multipliers on 2-step stratified groups. I., Functional calculus on non-homogeneous operators on nilpotent groups
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Cites Work
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- Nilpotent Gelfand pairs and spherical transforms of Schwartz functions. I: Rank-one actions on the centre
- Geometry of locally compact groups of polynomial growth and shape of large balls
- Spectral theory for commutative algebras of differential operators on Lie groups
- An extension of deLeeuw's theorem to the \(n\)-dimensional rotation group
- Nilpotent Gelfand pairs and Schwartz extensions of spherical transforms via quotient pairs
- A restriction theorem for the Heisenberg group
- Gelfand transforms of \(\mathrm{SO}(3)\)-invariant Schwartz functions on the free group \(N_{3,2}\)
- Gelfand pairs on the Heisenberg group and Schwartz functions
- \(H^ p\)-multipliers on stratified groups
- On \(L^ p\) spectral multipliers for a solvable Lie group
- Fourier analysis on the Heisenberg group. I. Schwartz space
- The spherical transform of a Schwartz function on the Heisenberg group
- Analysis on Lie groups with polynomial growth
- Sub-Laplacians of holomorphic \(L^p\)-type on rank one AN-groups and related solvable groups
- The subelliptic heat kernel on the three-dimensional solvable Lie groups
- Joint functional calculi and a sharp multiplier theorem for the Kohn Laplacian on spheres
- Gelfand transforms of polyradial Schwartz functions on the Heisenberg group
- Differentiable even functions
- Nilpotent Gelfand Pairs and Spherical Transforms of Schwartz Functions II: Taylor Expansions on Singular Sets
- DENSE m-CONVEX FRÉCHET SUBALGEBRAS OF OPERATOR ALGEBRA CROSSED PRODUCTS BY LIE GROUPS
- Representation of Elliptic Operators in an Enveloping Algebra
- Almost Everywhere Summability on Nilmanifolds
- A functional calculus for Rockland operators on nilpotent Lie groups
- L p Bounds for Spectral Multipliers on Nilpotent Groups
- Croissance polynomiale et périodes des fonctions harmoniques
- Fourier analysis on the Heisenberg group
- Spectral Multipliers on Lie Groups of Polynomial Growth
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Fourier transform of Schwartz functions on the Heisenberg group
- The topology of the spectrum for Gelfand pairs on Lie groups
