John Ryan
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Also affiliated: University of Essex (1987); The University of Sydney (1992); Masaryk University (2020); University of South Florida (2010); Ghent University Hospital (1987); University of Bristol (1986–2008); University of York (1982–1985)
Research Areas
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Biography and Research Information
OverviewAI-generated summary
John Ryan's research centers on Clifford analysis, a branch of mathematical analysis that extends concepts from complex analysis to higher dimensions. His work investigates various aspects of this field, including its applications in mathematical physics and the study of partial differential equations (PDEs) over spherical domains and unbounded regions. Ryan has authored or co-authored over 100 publications, accumulating more than 1,100 citations and an h-index of 18. His collaborations include work with Raymond Walter and Wanqing Cheng at the University of Arkansas at Fayetteville. He has also contributed to the field through authored books such as "Basic Clifford Analysis" and "Clifford Algebras in Analysis and Related Topics."
Metrics
- h-index: 18
- Publications: 98
- Citations: 1,142
Selected Publications
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Boundary value problems in Euclidean space for bosonic Laplacians (2024)
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Polynomial null solutions to bosonic Laplacians, bosonic Bergman and Hardy spaces (2022)
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Ellipticity of Some Higher Order Conformally Invariant Differential Operators (2022)
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The Π‐operator on some conformally flat manifolds and hyperbolic half space (2021)
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Green's formulas and Poisson's equation for bosonic Laplacians (2020)
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Green's Formulas and Poisson's Equation for Bosonic Laplacians (2020)
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Third-Order Fermionic and Fourth-Order Bosonic Operators (2020)
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Higher Order Fermionic and Bosonic Operators (2019)
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Clifford Analysis and Related Topics (2018)
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On Some Conformally Invariant Operators in Euclidean Space (2018)
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Correction to: Clifford Analysis and Related Topics (2018)
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From Hermitean Clifford Analysis to Subelliptic Dirac Operators on Odd Dimensional Spheres and Other CR Manifolds (2018)
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Construction of Arbitrary Order Conformally Invariant Operators in Higher Spin Spaces (2017)
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Some properties of the higher spin Laplace operator (2017)
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Spherical $$\Pi $$ Π -Type Operators in Clifford Analysis and Applications (2017)
Collaboration Network
Top Collaborators
- Construction of Arbitrary Order Conformally Invariant Operators in Higher Spin Spaces
- Some properties of the higher spin Laplace operator
- Higher Order Fermionic and Bosonic Operators
- Third-Order Fermionic and Fourth-Order Bosonic Operators
- On Some Conformally Invariant Operators in Euclidean Space
Showing 5 of 15 shared publications
- Construction of Arbitrary Order Conformally Invariant Operators in Higher Spin Spaces
- Higher Order Fermionic and Bosonic Operators
- Third-Order Fermionic and Fourth-Order Bosonic Operators
- Higher Order Fermionic and Bosonic Operators on Cylinders and Hopf Manifolds
- Construction of Arbitrary Order Conformally Invariant Operators in Higher Spin Spaces
Showing 5 of 7 shared publications
- Some Rarita–Schwinger Type Operators
- Some operators associated with Rarita–Schwinger type operators
- 1 Rarita-Schwinger Type Operators on Spheres and Real Projective Space
- Rarita-Schwinger Type Operators on Cylinders
- Some Rarita-Schwinger Operators
Showing 5 of 6 shared publications
- Clifford analytic complete function systems for unbounded domains
- Complete Function Systems and Decomposition Results Arising in Clifford Analysis
- The Intrinsic π-Operator on Domain Manifolds in $${\mathbb{C}^{n+1}}$$
- COMPLETE FUNCTION SYSTEMS AND DECOMPOSITION RESULTS ARISING IN CLIFFORD ANALYSIS
- Some conformally flat spin manifolds, Dirac operators and automorphic forms
- k-Hypermonogenic automorphic forms
- Dirac type operators for spin manifolds associated to congruence subgroups of generalized modular groups
- k-hypermonogenic automorphic forms
- p-Dirac Operators
- Clifford Analysis and Related Topics
- Correction to: Clifford Analysis and Related Topics
- $p$-Dirac Operators
- Clifford Analysis over Unbounded Domains
- Spherical $$\Pi $$ Π -Type Operators in Clifford Analysis and Applications
- From Hermitean Clifford Analysis to Subelliptic Dirac Operators on Odd Dimensional Spheres and Other CR Manifolds
- Spherical $\Pi$-type Operators in Clifford Analysis and Applications
- k-Hypermonogenic automorphic forms
- Dirac type operators for spin manifolds associated to congruence subgroups of generalized modular groups
- k-hypermonogenic automorphic forms
- 1 Rarita-Schwinger Type Operators on Spheres and Real Projective Space
- Rarita-Schwinger Type Operators on Cylinders
- Rarita-Schwinger Type operators on Cylinders
- Spherical $$\Pi $$ Π -Type Operators in Clifford Analysis and Applications
- The Π‐operator on some conformally flat manifolds and hyperbolic half space
- Spherical $\Pi$-type Operators in Clifford Analysis and Applications
- Clifford Analysis and Related Topics
- From Hermitean Clifford Analysis to Subelliptic Dirac Operators on Odd Dimensional Spheres and Other CR Manifolds
- Correction to: Clifford Analysis and Related Topics
- Some Rarita–Schwinger Type Operators
- Some Rarita-Schwinger Operators
- Some Rarita–Schwinger Type Operators
- Some Rarita-Schwinger Operators
- Clifford Algebras and their Applications in Mathematical Physics
- Clifford Analysis over Unbounded Domains
- Clifford Analysis and Related Topics
- Correction to: Clifford Analysis and Related Topics
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