Parseval wavelet frames on Riemannian manifold

DOI10.1007/s12220-021-00742-wzbMath1484.42031arXiv2011.13037OpenAlexW3215198306WikidataQ115376731 ScholiaQ115376731MaRDI QIDQ2061511

Marcin Bownik, Karol Dziedziul, Anna Kamont

Publication date: 15 December 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.13037

zbMATH Keywords

Triebel-Lizorkin spacesRiemannian manifoldHestenes operatorswavelet Parseval frame

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integration on manifolds; measures on manifolds (58C35) General harmonic expansions, frames (42C15)

Related Items (1)

Marcinkiewicz averages of smooth orthogonal projections on sphere

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometric space-frequency analysis on manifolds
• Band-limited localized Parseval frames and Besov spaces on compact homogeneous manifolds
• A discrete transform and decompositions of distribution spaces
• Nearly tight frames and space-frequency analysis on compact manifolds
• Wavelet frames, Sobolev embeddings and negative spectrum of Schrödinger operators on manifolds with bounded geometry
• Function spaces and wavelets on domains
• Coefficient quantization for frames in Banach spaces
• Theory of function spaces
• Spaces of Besov-Hardy-Sobolev type on complete Riemannian manifolds
• Describing functions: Atomic decompositions versus frames
• The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
• Heat kernel generated frames in the setting of Dirichlet spaces
• Smooth orthogonal projections on Riemannian manifold
• Smooth orthogonal projections on sphere
• Extension of a local diffeomorphism
• Sobolev spaces on Riemannian manifolds with bounded geometry: General coordinates and traces
• Paley-Wiener-Schwartz nearly Parseval frames on noncompact symmetric spaces
• Natural Operations on Differential Forms
• Extending Diffeomorphisms
• Besov spaces and frames on compact manifolds
• Spline bases in classical function spaces on compact $C^{∞}$ manifolds, Part I
• Spline approximation and Besov spaces on compact manifolds
• Characterizations of Function Spaces on a Complete RIEMANNian Manifold with Bounded Geometry
• Ten Lectures on Wavelets
• Atomic decompositions on manifolds with bounded geometry
• Parseval Space-Frequency Localized Frames on Sub-Riemannian Compact Homogeneous Manifolds
• Wavelets on Manifolds I: Construction and Domain Decomposition
• Wavelets on manifolds: An optimized construction

This page was built for publication: Parseval wavelet frames on Riemannian manifold