Mean value theorems for bicomplex harmonic functions
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Publication:6105174
DOI10.1007/s00006-023-01285-9zbMath1521.31014OpenAlexW4381513761WikidataQ123266282 ScholiaQ123266282MaRDI QIDQ6105174
Aiad El Gourari, Abdelkader Abouricha, Allal Ghanmi
Publication date: 26 June 2023
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00006-023-01285-9
Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Connections of harmonic functions with differential equations in higher dimensions (31B35)
Cites Work
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- The mean value theorem and basic properties of the obstacle problem for divergence form elliptic operators
- Infinite-dimensional bicomplex Hilbert spaces
- Finite-dimensional bicomplex Hilbert spaces
- Bicomplex quantum mechanics. II: The Hilbert space
- Potato Kugel
- A converse to the mean value theorem for harmonic functions
- Bicomplex polyharmonicity and polyholomorphy
- Bicomplex analogs of Segal-Bargmann and fractional Fourier transforms
- On the mean-value property of harmonic functions
- Mean value theorems on manifolds
- Contributions to the theory of functions of a bicomplex variable
- Harmonic Function Theory
- Bicomplex Holomorphic Functions
- A Lattice Summation Using the Mean Value Theorem for Harmonic Functions
- The volume mean-value property of harmonic functions
- On the Mean Value Property of Harmonic Functions and Best Harmonic L 1 -Approximation
- Shorter Notes: On the Mean-Value Property of Harmonic Functions
- Mean-value theorems for Riemannian manifolds
- Harmonic functions on complete riemannian manifolds
- On bicomplex Fourier–Wigner transforms
- Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
- Restricted Mean Values and Harmonic Functions
- On the Mean-Value Property of Harmonic Functions
- Function-Theoretic Characterization of Einstein Spaces and Harmonic Spaces
- Mean Value Theorems in Harmonic Riemannian Spaces
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