Fueter

Fueter may refer to:

• Rudolf Fueter (1880-1950): A Swiss mathematician known for his work in number theory, complex analysis, and quaternion analysis. He made significant contributions to the theory of quadratic forms and modular functions.

• Fueter's Theorem: A theorem in quaternion analysis, specifically dealing with the construction of quaternionic regular functions. It provides a way to generate quaternionic functions from holomorphic functions of a complex variable by replacing the complex variable with a quaternion variable and applying a differential operator. The resulting function will be regular in the sense of being a solution to a quaternionic form of the Cauchy-Riemann equations.

• Fueter polynomials: A family of orthogonal polynomials in several real variables, constructed using quaternion analysis. These polynomials are related to spherical harmonics and have applications in potential theory and signal processing.