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Riesz Transforms on ax+b Groups

The Journal of geometric analysis, 2023-07, Vol.33 (7), Article 222

Martini, Alessio

2023

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Spectral multipliers on Heisenberg–Reiter and related groups

Annali di matematica pura ed applicata, 2015-08, Vol.194 (4), p.1135-1155

Martini, Alessio

2015

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A sharp multiplier theorem for solvable extensions of Heisenberg and related groups

Annali di matematica pura ed applicata, 2024, Vol.203 (3), p.1361-1408

2024

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Maximal characterisation of local Hardy spaces on locally doubling manifolds

Mathematische Zeitschrift, 2022-02, Vol.300 (2), p.1705-1739

2022

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A robust approach to sharp multiplier theorems for Grushin operators

Transactions of the American Mathematical Society, 2020-11, Vol.373 (11), p.7533-7574

2020

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An Optimal Multiplier Theorem for Grushin Operators in the Plane, II

The Journal of fourier analysis and applications, 2022-04, Vol.28 (2), Article 32

2022

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Geometric Aspects of Harmonic Analysis

1st Edition 2021, 2021

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A family of Hardy-type spaces on nondoubling manifolds

Annali di matematica pura ed applicata, 2020-10, Vol.199 (5), p.2061-2085

2020

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Riesz Transform for a Flow Laplacian on Homogeneous Trees

The Journal of fourier analysis and applications, 2023-04, Vol.29 (2), Article 15

2023

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Correction to: An Optimal Multiplier Theorem for Grushin Operators in the Plane, II

The Journal of fourier analysis and applications, 2022-06, Vol.28 (3), Article 41

2022

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Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres

Mathematische Zeitschrift, 2020-04, Vol.294 (3-4), p.1659-1686

2020

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Joint functional calculi and a sharp multiplier theorem for the Kohn Laplacian on spheres

Mathematische Zeitschrift, 2017-08, Vol.286 (3-4), p.1539-1574

Martini, Alessio

2017

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Weighted Plancherel estimates and sharp spectral multipliers for the Grushin operators

Mathematical research letters, 2012, Vol.19 (5), p.1075-1088

2012

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Riesz transforms on solvable extensions of stratified groups

Studia mathematica, 2021, Vol.259 (2), p.175-200

2021

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Spectral theory for commutative algebras of differential operators on Lie groups

Journal of functional analysis, 2011-05, Vol.260 (9), p.2767-2814

Martini, Alessio

2011

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ANALYSIS OF JOINT SPECTRAL MULTIPLIERS ON LIE GROUPS OF POLYNOMIAL GROWTH

Annales de l'Institut Fourier, 2012, Vol.62 (4), p.1215-1263

MARTINI, Alessio

2012

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Weighted Spectral Cluster Bounds and a Sharp Multiplier Theorem for Ultraspherical Grushin Operators

International mathematics research notices, 2022-06, Vol.2022 (12), p.9209-9274

2022

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Almost everywhere convergence of Bochner–Riesz means on Heisenberg‐type groups

Journal of the London Mathematical Society, 2021-04, Vol.103 (3), p.1066-1119

2021

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From refined estimates for spherical harmonics to a sharp multiplier theorem on the Grushin sphere

Advances in mathematics (New York. 1965), 2019-07, Vol.350, p.816-859

2019

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Inclusions and noninclusions of Hardy type spaces on certain nondoubling manifolds

Journal of functional analysis, 2024-02, Vol.286 (3), p.110240, Article 110240

2024

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Spectral multipliers on 2-step groups: topological versus homogeneous dimension

Geometric and functional analysis, 2016-04, Vol.26 (2), p.680-702

2016

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Convolution kernels versus spectral multipliers for sub-Laplacians on groups of polynomial growth

Journal of functional analysis, 2019-09, Vol.277 (6), p.1603-1638

2019

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Uniform pointwise estimates for ultraspherical polynomials

Comptes rendus. Mathématique, 2021-01, Vol.359 (10), p.1239-1250

2021

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Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups

Journal d'analyse mathématique (Jerusalem), 2018-10, Vol.136 (1), p.357-397

2018

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Sharp Local Smoothing Estimates for Fourier Integral Operators

Geometric Aspects of Harmonic Analysis, 2021, Vol.45, p.29-105

2021

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Riesz Transforms on ax+b Groups

Spectral multipliers on Heisenberg–Reiter and related groups

A sharp multiplier theorem for solvable extensions of Heisenberg and related groups

Maximal characterisation of local Hardy spaces on locally doubling manifolds

A robust approach to sharp multiplier theorems for Grushin operators

An Optimal Multiplier Theorem for Grushin Operators in the Plane, II

Geometric Aspects of Harmonic Analysis

A family of Hardy-type spaces on nondoubling manifolds

Riesz Transform for a Flow Laplacian on Homogeneous Trees

Correction to: An Optimal Multiplier Theorem for Grushin Operators in the Plane, II

Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres

Joint functional calculi and a sharp multiplier theorem for the Kohn Laplacian on spheres

Weighted Plancherel estimates and sharp spectral multipliers for the Grushin operators

Riesz transforms on solvable extensions of stratified groups

Spectral theory for commutative algebras of differential operators on Lie groups

ANALYSIS OF JOINT SPECTRAL MULTIPLIERS ON LIE GROUPS OF POLYNOMIAL GROWTH

Weighted Spectral Cluster Bounds and a Sharp Multiplier Theorem for Ultraspherical Grushin Operators

Almost everywhere convergence of Bochner–Riesz means on Heisenberg‐type groups

From refined estimates for spherical harmonics to a sharp multiplier theorem on the Grushin sphere

Inclusions and noninclusions of Hardy type spaces on certain nondoubling manifolds

Spectral multipliers on 2-step groups: topological versus homogeneous dimension

Convolution kernels versus spectral multipliers for sub-Laplacians on groups of polynomial growth

Uniform pointwise estimates for ultraspherical polynomials

Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups

Sharp Local Smoothing Estimates for Fourier Integral Operators

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