Convolutions, Spherical Functions and the Mellin Transform

  • Jay Jorgenson
  • Serge Lang
Part of the Springer Monographs in Mathematics book series (SMM)


We shall study integral operators, but these are not independent of the differential operators. We begin by formulating a general result which applies to both. There are other relations showing that eigenvalues of certain differential operators are also eigenvalues of certain integral operators. The chapter concerns the work of Gelfand [Gel 50], Godement [God 52b], Maass [Maa 55], [Maa 56], [Maa 71], and Selberg [Sel 56], especially pp. 48–58.


Symmetric Space Haar Measure Spherical Function Point Pair Absolute Convergence 
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Copyright information

© Springer-Verlag New York, Inc. 2001

Authors and Affiliations

  • Jay Jorgenson
    • 1
  • Serge Lang
    • 2
  1. 1.Department of MathematicsCity College of New York, CUNYNew YorkUSA
  2. 2.Department of MathematicsYale UniversityNew HavenUSA

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