Non-commutative harmonic analysis : proceedings, Marseille-Luminy, France, June 26 to 30, 1978 : actes du Colloque d'analyse harmonique non commutative

Bibliographic Information

Non-commutative harmonic analysis : proceedings, Marseille-Luminy, France, June 26 to 30, 1978 : actes du Colloque d'analyse harmonique non commutative

edited by Jacques Carmona and Michèle Vergne

(Lecture notes in mathematics, 728)

Springer-Verlag, 1979

  • : Berlin
  • : New York

Available at  / 77 libraries

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Note

English or French

Includes bibliographies and index

Description and Table of Contents

Volume

: New York ISBN 9780387095165

Description

This classic reference on musical acoustics and performance practice begins with a brief introduction to the fundamentals of acoustics and the generation of musical sounds. It then discusses the particulars of the sounds made by all the standard instruments in a modern orchestra as well as the human voice, the way in which the sounds made by these instruments are dispersed and how the room into which they are projected affects the sounds.

Table of Contents

to Acoustics.- Structure of Musical Sound.- Tonal Characteristics of Musical Instruments.- Directional Characteristics.- Foundations of Room Acoustics.- Acoustical Properties of Old and New Performance Spaces.- Seating Arrangement in the Concert Hall.- Acoustic Considerations for Instrumentation and Playing Technique.- Acoustical Problems in the Opera House.
Volume

: Berlin ISBN 9783540095163

Table of Contents

Fourier transforms of some invariant distribution on semisimple Lie groups and Lie algebras.- Global solvability of bi-invariant differential operators on solvable Lie groups.- "Base change" geometrique : Relevement de la serie principale de GL(n,?/?).- Sur la methode des orbites.- Polynomes de Vogan pour SL(n, ?).- On a fundamental series of representations related to an affine symmetric space.- Higher order tensor products of wave equations.- W-module structure in the primitive spectrum of the enveloping algebra of a semisimple Lie algebra.- Functions on the shilov boundary of the generalized half plane.- K-types and singular spectrum.- A vanishing theorem for L2-cohomology in the nilpotent case.- The Eichler Commutation Relation and the continuous spectrum of the weil representation.

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