Spherical Inversion on SLn(R)
Harish-Chandra's general Plancherel inversion theorem admits a much shorter presentation for spherical functions. The authors have taken into account contributions by Helgason, Gangolli, Rosenberg, and Anker from the mid-1960s to 1990. Anker's simplificat
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BOOKS OF RELATED INTEREST BY SERGE LANG
Linear Algebra, Third Edition 1987, ISBN 0-387-96412-6 Undergraduate Algebra, Second Edition 1990, ISBN 0-387-97279-X Undergraduate Analysis, Second Edition 1997, ISBN 0-387-94841-4 Complex Analysis, Third Edition 1993, ISBN 0-387-97886-0 Real and Functional Analysis, Third Edition 1993, ISBN 0-387-94001-4 Algebraic Number Theory, Second Edition 1994, ISBN 0-387-94225-4 Introduction to Complex Hyperbolic Spaces 1987, ISBN 0-387-96447-9
OTHER BOOKS BY LANG PUBLISHED BY SPRINGER-VERLAG Introduction to Arakelov Theory. Riemann-Roch Algebra (with William Fulton) • Complex Multiplication • Introduction to Modular Forms • Modular Units (with Daniel Kubert) • Fundamentals of Diophantine Geometry • Elliptic Functions • Number Theory III • Survey of Diophantine Geometry • Cyclotomic Fields I and II • SL2 (R) • Abelian Varieties • Introduction to Algebraic and Abelian Functions • Introduction to Diophantine Approximations • Elliptic Curves: Diophantine Analysis. Math Talks for Undergraduates. Introduction to Linear Algebra • Calculus of Several Variables • First Course in Calculus • Basic Mathematics • Geometry: A High School Course (with Gene Murrow) • Math! Encounters with High School Students. The Beauty of Doing Mathematics • THE FILE. CHALLENGES
Jay Jorgenson
Serge Lang
Spherical Inversion on SLn(R)
Springer
Jay Jorgenson Department of Mathematics City College of New York, CUNY 138 Convent Avenue New York, NY 10031 USA
Serge Lang Department of Mathematics Yale University New Haven, CT 06520-8283 USA
With 2 Illustrations Mathematics Subject Classification (2000): 22E46
Library of Congress Cataloging-in-Publication Data Jorgenson, Jay. Spherical inversion on SLn(R) / Jay Jorgenson, Serge Lang. p. cm. Includes bibliographical references and index. ISBN 978-1-4419-2883-2 ISBN 978-1-4684-9302-3 (eBook) DOl 10.1007/978-1-4684-9302-3 1. Spherical functions.
II. Title. QA406.J67 2001 515'.53--dc21
2. Decomposition (Mathematics) I. Lang, Serge, 192700-058307
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