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On the geometric trace of a generalized Selberg trace formula

On the geometric trace of a generalized Selberg trace formula

Abstract A certain generalization of the Selberg trace formula was proved by the first named author in 1999. In this generalization instead of considering the integral of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>K</m:mi> <m:mo>⁢</m:mo> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mi>z</m:mi> <m:mo>,</m:mo> <m:mi>z</m:mi> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:mrow> </m:math> {K(z,z)} (where <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>K</m:mi> <m:mo>⁢</m:mo> …