1.

Record Nr.

UNINA9910827606103321

Autore

Sally Paul J.

Titolo

Analytic continuation of the irreducible unitary representations of the universal covering group of SL(2, R) / / by Paul J. Sally

Pubbl/distr/stampa

Providence : , : American Mathematical Society, , 1967

ISBN

1-4704-0016-2

Descrizione fisica

1 online resource (100 p.)

Collana

Memoirs of the American Mathematical Society ; ; number 69

Soggetti

Algebraic topology

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Cover title.

Nota di bibliografia

Bibliography: pages 93-94.

Nota di contenuto

""Table of Contents""; ""Introduction""; ""Chapter I. Irreducible Unitary Representations of SL(2, R)""; ""0. Introduction""; ""1. The principal series""; ""2. The complementary series""; ""3. The discrete series""; ""Chapter II. Irreducible Unitary Representations of the Universal Covering Group of SL(2, R)""; ""0. Introduction""; ""1. Description of the universal covering group""; ""2. The principal series of representations of G""; ""3. The intertwining operators for the principal series""; ""4. The complementary series of representations of G""

""5. The discrete series of representations of G""""Chapter III. Analytic Continuation of the Principal Series""; ""0. Introduction""; ""1. The normalized principal series""; ""2. Analytic continuation of the operator R[sup(â?)][sub(h)](p[sub(1)],s)""; ""3. Proof of Theorem (3.0.1)""; ""4. The canonical basis and matrix elements for the normalized principal series""; ""Chapter IV. Analytic Continuation of the Discrete Series""; ""0. Introduction""; ""1. The normalized discrete series""; ""2. Analytic continuation of the normalized positive discrete series""

""3. The canonical basis and matrix elements for the normalized discrete series""