Oscillatory singular integrals and harmonic analysis on nilpotent groups

DOI10.1073/pnas.83.1.1zbMath0583.43010OpenAlexW2008424040WikidataQ35583299 ScholiaQ35583299MaRDI QIDQ3708519

Fulvio Ricci, Elias M. Stein

Publication date: 1986

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.83.1.1

zbMATH Keywords

nilpotent Lie groupsCalderón-Zygmund kernelsingular kernelsnonautomorphic dilationssingular integral transformations

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)

Related Items (12)

Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals ⋮ Estimates for singular Radon transforms and pseudodifferential operators with singular symbols ⋮ Harmonic analysis on nilpotent groups and singular integrals. II: Singular kernels supported on submanifolds ⋮ Weak (1,1) bounds for oscillatory singular integrals ⋮ The polynomial Carleson operator ⋮ A class of oscillatory singular integrals with rough kernels and fewnomials phases ⋮ A family of SCFTs hosting all ``very attractive relatives of the \((2)^{4}\) Gepner model ⋮ Sparse bounds for maximal monomial oscillatory Hilbert transforms ⋮ Singular integrals supported by submanifolds ⋮ The Strong Maximal Function on a Nilpotent Group ⋮ Fundamental solutions and harmonic analysis on nilpotent groups ⋮ A survey on oscillatory integral operators

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