Andrew Raich Data-verified
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Biography and Research Information
OverviewAI-generated summary
Andrew Raich is a Professor at the University of Arkansas at Fayetteville whose research centers on mathematical analysis, particularly the study of fundamental solutions to differential operators on manifolds. His recent publications investigate these concepts on quadric manifolds, including general formulas, specific codimensional cases in complex spaces, and scenarios with nonzero eigenvalues. Raich also explores the behavior of the $\bar{\partial}$-Neumann problem on non-pseudoconvex domains, examining maximal estimates and boundary invariants related to the closed range property. His work also touches on distributions with decay and restriction problems. With 97 publications and a citation count of 419, Raich has an h-index of 12. He has a history of collaboration with Phillip S. Harrington, with whom he shares five publications.
Metrics
- h-index: 12
- Publications: 97
- Citations: 432
Selected Publications
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The ∂-problem on Z(q)-domains (2026)
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The ∂-problem on Z(q)-domains (2026)
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Geometry and Analysis of the Grusin Operator (2025)
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Local regularity of the Bergman projection on a class of pseudoconvex domains of finite type (2025)
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Distributions with Decay and Restriction Problems (2024)
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Hardy Spaces and Canonical Kernels on Quadric CR Manifolds (2024)
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Maximal Estimates for the $${\bar{\partial }}$$-Neumann Problem on Non-pseudoconvex Domains (2024)
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The fundamental solution to □b on quadricmanifolds with nonzero eigenvalues and null variables (2023)
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Global Gevrey vectors (2023)
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The fundamental solution to \Box_{𝑏} on quadric manifolds with nonzero eigenvalues (2023)
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None (2023)
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Analysis on quadrics (2022)
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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)
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The fundamental solution to \Box_{𝑏} on quadric manifolds – Part 1. General formulas (2022)
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Strong closed range estimates: necessary conditions and applications (2022)
Collaboration Network
Top Collaborators
- The fundamental solution to \Box_{𝑏} on quadric manifolds – Part 1. General formulas
- The Fundamental Solution to $$\Box _b$$ on Quadric Manifolds: Part 3. Asymptotics for a Codimension 2 Case in $${\mathbb {C}}^4$$
- Analysis on quadrics
- The fundamental solution to \Box_{𝑏} on quadric manifolds with nonzero eigenvalues
- The Fundamental Solution to $\Box_b$ on Quadric Manifolds -- Part 4. Nonzero Eigenvalues
Showing 5 of 6 shared publications
- Strong closed range estimates: necessary conditions and applications
- 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>
- Maximal Estimates for the $\bar\partial$-Neumann Problem on Non-pseudoconvex domains
- The $\bar\partial$-problem on $Z(q)$-domains
- Maximal Estimates for the $${\bar{\partial }}$$-Neumann Problem on Non-pseudoconvex Domains
- The Fundamental Solution to $\Box_b$ on Quadric Manifolds -- Part 1. General Formulas
- The Fundamental Solution to $\\Box_b$ on Quadric Manifolds -- Part 4.\n Nonzero Eigenvalues
- None
- Hardy Spaces and Canonical Kernels on Quadric CR Manifolds
- Distributions with Decay and Restriction Problems
- Global Gevrey vectors
- Geometry and Analysis of the Grusin Operator
- A note on estimates of the Newtonian potential on bounded domains
- Global regularity for the $\bar\partial$-Neumann problem on pseudoconvex manifolds
- Local regularity of the Bergman projection on a class of pseudoconvex domains of finite type
- Compactness of the complex Green operator on non-pseudoconvex CR manifolds
- Global Gevrey vectors
- The $\bar\partial$-problem on $Z(q)$-domains
- Hardy Spaces and Canonical Kernels on Quadric CR Manifolds
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