Fourier multipliers on graded Lie groups

DOI10.4064/cm7817-6-2020zbMath1476.43005arXiv1411.6950OpenAlexW3094733044WikidataQ115217798 ScholiaQ115217798MaRDI QIDQ4997544

Veronique Fischer, Michael Ruzhansky

Publication date: 29 June 2021

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6950

zbMATH Keywords

Fourier multipliersgraded nilpotent Lie groupsanalysis on Lie groups

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)

Related Items (9)

Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups ⋮ \(L^p\)-bounds for pseudo-differential operators on graded Lie groups ⋮ Differential structure on the dual of a compact Lie group ⋮ Riesz transforms on \(ax+b\) groups ⋮ Fourier multipliers for Hardy spaces on graded Lie groups ⋮ Oscillating singular integral operators on compact Lie groups revisited ⋮ -BOUNDS FOR PSEUDO-DIFFERENTIAL OPERATORS ON COMPACT LIE GROUPS ⋮ Multipliers for Besov spaces on graded Lie groups ⋮ A note on spectral multipliers on Engel and Cartan groups

Cites Work

• Unnamed Item
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• Quantization on nilpotent Lie groups
• On multipliers on compact Lie groups
• Intrinsic pseudo-differential calculi on any compact Lie group
• Estimates for translation invariant operators in \(L^p\) spaces
• Fourier analysis on the Heisenberg group. I. Schwartz space
• \(L^p\) multipliers on the Heisenberg group
• Hypoelliptic differential operators and nilpotent groups
• On spectral multipliers for Heisenberg and related groups
• Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. II
• Differential structure on the dual of a compact Lie group
• Tempered distributions and Fourier transform on the Heisenberg group
• A frequency space for the Heisenberg group
• \(L^p\) Fourier multipliers on compact Lie groups
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Singular integrals and multiplier operators
• Spectral multipliers on 2-step groups: topological versus homogeneous dimension
• Noncommutative microlocal analysis. I
• Minimum Eigenvalues for Positive, Rockland Operators
• 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
• On $L_p$ Fourier Multipliers on a Compact Lie-Group.
• A Multiplier Theorem for SU(n)
• Multipliers on the Rigid Motions of the Plane and Their Relations to Multipliers on Direct Products
• Spectral Multipliers on Lie Groups of Polynomial Growth
• Sobolev spaces on graded Lie groups
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Multiplier Transformations on Compact Lie Groups and Algebras
• Multiplier theorem on generalized Heisenberg groups II
• L p Estimates for Bi-Invariant Operators on Compact Lie Groups

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