Spectral multipliers without semigroup framework and application to random walks

DOI10.1016/j.matpur.2020.09.009OpenAlexW3087766803MaRDI QIDQ2204937

Adam S. Sikora, El Maati Ouhabaz, Li Xin Yan, Peng Chen

Publication date: 16 October 2020

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.11002

zbMATH Keywords

random walkspace of homogeneous typespectral multiplierspolynomial off-diagonal decay kernels

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Multipliers for harmonic analysis in several variables (42B15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05)

Related Items (6)

Spectral multiplier theorem and sub-Gaussian heat kernel estimates ⋮ On complex-time heat kernels of fractional Schrödinger operators via Phragmén-Lindelöf principle ⋮ Bounds on the Phillips calculus of abstract first order differential operators ⋮ On scales of Sobolev spaces associated to generalized Hardy operators ⋮ A spectral multiplier theorem for Hardy spaces associated with Schrödinger operator on the Heisenberg group ⋮ The Schrödinger equation in \(L^p\) spaces for operators with heat kernel satisfying Poisson type bounds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means
• Sharp \(L^p\) estimates for Schrödinger groups
• Restriction and spectral multiplier theorems on asymptotically conic manifolds
• Sharp spectral multipliers for operators satisfying generalized Gaussian estimates
• A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces
• Gaussian estimates for Markov chains and random walks on groups
• Estimates for translation invariant operators in \(L^p\) spaces
• Weighted norm estimates and maximal regularity.
• Plancherel-type estimates and sharp spectral multipliers
• Calderón-Zygmund theory for non-integral operators and the \(H^\infty\) functional calculus
• Spectral multipliers for Markov chains
• \(L^ p\)-mapping properties of functions of Schrödinger operators and their applications to scattering theory
• Sharp \(L^p\) estimates for Schrödinger groups on spaces of homogeneous type
• Extensions of the Stein-Tomas theorem
• Joint functional calculi and a sharp multiplier theorem for the Kohn Laplacian on spheres
• Restriction estimates via the derivatives of the heat semigroup and connection with dispersive estimates
• The spectral function of an elliptic operator
• 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.)
• Finite propagation speed for first order systems and Huygens’ principle for hyperbolic equations
• L p Bounds for Spectral Multipliers on Nilpotent Groups
• Spectral Multipliers on Lie Groups of Polynomial Growth
• A multiplier theorem for Schrödinger operators
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Spectral multiplier theorems of Hormander type on Hardy and Lebesgue spaces
• A spectral multiplier theorem for a sublaplacian on SU\((2)\)

This page was built for publication: Spectral multipliers without semigroup framework and application to random walks