Almansi Decomposition Theorems of Polynomial Weighted Dirac Operators and Their Applications

Key Points

• Almansi decomposition theorems reveal new properties of polynomial weighted Dirac operators, improving their application in complex analysis.
• Significant mathematical implications arise when examining the spectral theory of these operators in functional spaces.
• Application of Almansi theorems provides insights into the behavior of differential equations involving weighted Dirac operators.
• Findings suggest broader applications in mathematical fields, particularly in solving complex differential equations.