Spectral multipliers on 2-step stratified groups. I.

DOI10.1007/s00041-020-09740-yOpenAlexW3099072414MaRDI QIDQ2688107

Mattia Calzi

Publication date: 9 March 2023

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.00406

zbMATH Keywords

spectral multipliersub-LaplacianSchwartz classRiemann-Lebesgue lemma2-step stratified group

Mathematics Subject Classification ID

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)

Related Items (1)

Besov spaces of analytic type: interpolation, convolution, Fourier multipliers, inclusions

Cites Work

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• Spectral theory for commutative algebras of differential operators on Lie groups
• Nilpotent Gelfand pairs and Schwartz extensions of spherical transforms via quotient pairs
• Analysis of joint spectral multipliers on Lie groups of polynomial growth
• 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
• Continuous linear division and extension of \(C^\infty\) functions
• Semianalytic and subanalytic sets
• Fourier analysis on the Heisenberg group. I. Schwartz space
• A Tauberian theorem and tangential convergence for bounded harmonic functions on balls in \(\mathbb{C}^n\)
• Vector-valued multipliers on stratified groups
• Hypoelliptic differential operators and nilpotent groups
• Weighted subcoercive operators on Lie groups
• The exponential Vandermonde matrix
• On spectral multipliers for Heisenberg and related groups
• Solvability for a class of doubly characteristic differential operators on 2-step nilpotent groups
• Convolution kernels versus spectral multipliers for sub-Laplacians on groups of polynomial growth
• Gelfand transforms of polyradial Schwartz functions on the Heisenberg group
• On some \(C^ *\)-algebras considered by Glimm
• Hypoelliptic second order differential equations
• Spectral multipliers on 2-step groups: topological versus homogeneous dimension
• Differentiable even functions
• Spectral multipliers on 2-step stratified groups. II
• L^pspectral multipliers on the free group N_3,2
• Spectral multiplier theorems of Euclidean type on new classes of two-step stratified groups
• A smooth subadditive homogeneous norm on a homogeneous group
• On Gelfand Pairs Associated with Solvable Lie Groups
• A functional calculus for Rockland operators on nilpotent Lie groups
• Caracterisation des operateurs hypoelliptiques homogenes
• Parametrices for hypoelliptic operators on step to nilpotent lie groups
• L p Bounds for Spectral Multipliers on Nilpotent Groups
• Hypoellipticity on the Heisenberg Group-Representation-Theoretic Criteria
• Hardy's Uncertainty Principle on Certain Lie Groups
• Sobolev spaces on graded Lie groups
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• On positive Rockland operators
• Multiplier theorem on generalized Heisenberg groups II
• Square Integrable Representations of Nilpotent Groups
• Infinite-dimensional group representations
• Hausdorff Measure of Critical Images on Banach Manifolds
• A nilpotent Lie algebra with nilpotent automorphism group
• Composite differentiable functions

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