Andrew Raich Source Confirmed

Affiliation confirmed via AI analysis of OpenAlex, ORCID, and web sources.

Professor

University of Arkansas at Fayetteville

faculty

12 h-index 96 pubs 410 cited

Research Areas

Mathematical Analysis and Operator Theory Differential Geometry Complex Analysis Partial Differential Equations Harmonic Analysis

Links

ORCID Lab Website

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OverviewAI-generated summary

Andrew Raich is a Professor at the University of Arkansas at Fayetteville. His research primarily investigates the fundamental solution to the ‎ℓ​ operator on quadric manifolds, with recent publications exploring general formulas, asymptotics for specific cases, and analyses on quadrics. His work also extends to distributions with decay and restriction problems, as well as boundary invariants and the closed range property for the ‎̈∂̄‎ operator.

Raich's scholarly output includes 96 publications, accumulating 410 citations and an h-index of 12. He has collaborated with Phillip S. Harrington, with whom he shares 5 publications. His research interests also encompass the compactness of the complex Green operator on non-pseudoconvex CR manifolds and strong closed range estimates.

Metrics

  • h-index: 12
  • Publications: 96
  • Citations: 410

Selected Publications

  • Geometry and Analysis of the Grusin Operator (2025) DOI
  • Local regularity of the Bergman projection on a class of pseudoconvex domains of finite type (2025) DOI
  • Distributions with Decay and Restriction Problems (2024) DOI
  • Hardy Spaces and Canonical Kernels on Quadric CR Manifolds (2024) DOI
  • Maximal Estimates for the $${\bar{\partial }}$$-Neumann Problem on Non-pseudoconvex Domains (2024) DOI
  • The fundamental solution to □b on quadricmanifolds with nonzero eigenvalues and null variables (2023) DOI
  • Global Gevrey vectors (2023) DOI
  • The fundamental solution to \Box_{𝑏} on quadric manifolds with nonzero eigenvalues (2023) DOI
  • None (2023) DOI
  • Analysis on quadrics (2022) DOI
  • Boundary invariants and the closed range property for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mover accent="true"><mml:mrow><mml:mo>∂</mml:mo></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:math> (2022) DOI
  • The fundamental solution to \Box_{𝑏} on quadric manifolds – Part 1. General formulas (2022) DOI
  • Strong closed range estimates: necessary conditions and applications (2022) DOI
  • The Fundamental Solution to $$\Box _b$$ on Quadric Manifolds: Part 3. Asymptotics for a Codimension 2 Case in $${\mathbb {C}}^4$$ (2021) DOI
  • Compactness of the complex Green operator on non-pseudoconvex CR manifolds (2021) DOI

Collaborators

Researchers in the database who share publications

Phillip S. Harrington University of Arkansas at Fayetteville 5 shared publications

Similar Researchers

Based on overlapping research topics

Vitantonio Peragine University of Arkansas at Monticello
Differential Geometry Complex Analysis
Related 2 shared topics