The 2-Cauchy-Fueter equation is solvable for suitable right-hand sides on a domain in R^4 if and only if the third cohomology group with real coefficients vanishes, equivalently if every real harmonic function is the real part of a quaternionic regular function.
London, Longmans Green
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CV 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A Pair of Multiplication-Type Operators in Quaternionic Analysis and the 2-Cauchy-Fueter Equation
The 2-Cauchy-Fueter equation is solvable for suitable right-hand sides on a domain in R^4 if and only if the third cohomology group with real coefficients vanishes, equivalently if every real harmonic function is the real part of a quaternionic regular function.