The Fourier Transformation and Elements of Harmonic Analysis

  • A. A. Kirillov
  • A. A. Gvishiani
Part of the Problem Books in Mathematics book series (PBM)


Let G be a finite group, and K some field. Denote by K[G] the collection of formal linear combinations of elements of the group G with coefficients in K.

The elements of K[G] have the form
$$ \begin{array}{*{20}{c}} {x = \sum\limits_{g \in G} {a\left( g \right)g,} }&{where{\text{ }}a\left( g \right) \in K.} \end{array} $$


Invariant Measure Continuous Operator Inverse Fourier Transformation Convolution Operator Dual Group 
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Copyright information

© Springer-Verlag New York Inc. 1982

Authors and Affiliations

  • A. A. Kirillov
    • 1
  • A. A. Gvishiani
    • 2
  1. 1.Mathemathics DepartmentMoscow State UniversityMoscowUSSR
  2. 2.Applied Mathemathics LaboratoryInstitute of Earth Physics of the Academy of Sciences of the USSRMoscowUSSR

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