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La Formule des Traces Locale Tordue (French, Paperback)
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La Formule des Traces Locale Tordue (French, Paperback)
Series: Memoirs of the American Mathematical Society
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A note to readers: This book is in French. The text has two
chapters. The first one, written by Waldspurger, proves a twisted
version of the local trace formula of Arthur over a local field.
This formula is an equality between two expressions, one involving
weighted orbital integrals, the other one involving weighted
characters. The authors follow Arthur's proof, but the treatement
of the spectral side is more complicated in the twisted situation.
They need to use the combinatorics of the ``Morning Seminar''. The
authors' local trace formula has the same consequences as in
Arthur's paper on elliptic characters. The second chapter, written
by Moeglin, gives a symmetric form of the local trace formula as in
Arthur's paper on Fourier Transform of Orbital integral and
describes any twisted orbital integral, in the p-adic case, as
integral of characters.
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