Harmonic Analysis and Functional Equations

  • Henrik Stetkær
Conference paper
Part of the Trends in Mathematics book series (TM)


Functional equations occur in many parts of mathematics, also in harmonic analysis. As an example we mention that the complex exponential function 7 :x ? exp (?x) for any ? ∈ R is a solution of Cauchy’s functional equation
$$\gamma \left( {x + y} \right) = \gamma \left( x \right)\gamma \left( y \right),\;x,y \in R$$


Functional Equation Haar Measure Spherical Function Continuous Homomorphism Aequationes Math 
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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Henrik Stetkær
    • 1
  1. 1.Department of MathematicsAarhus UniversityAarhus CDenmark

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