الصفحة 1
الصفحة 1
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Programming Languages and Systems ; 6th Asian Symposium, APLAS 2008, Bangalore, India, December 9-11, 2008. Proceedings

The symposium is devoted to all topics ranging from foundational to practical issues in programming languages and systems. The papers cover topics such as semantics, logics, foundational theory, type systems, language design, program analysis, optimization, transformation, software security, safety, verification, compiler systems, interpreters, abstract machines, domain-specific languages and systems, as well as programming tools and environments.

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Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras

In this book the author studies Fourier transforms using Deligne-Lusztig induction and the Lie algebra version of Lusztig’s character sheaves theory. He conjectures a commutation formula between Deligne-Lusztig induction and Fourier transforms that he proves in many cases. As an application the computation of the values of the trigonometric sums (on reductive Lie algebras) is shown to reduce to the computation of the generalized Green functions and to the computation of some fourth roots of unity.

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