SL₂(R) (Record no. 58681)

MARC details
000 -LEADER
fixed length control field 04374nam a22003257a 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220616130100.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 211220b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781461295815
028 ## - DISTRIBUTOR NAME
Distributor Name ;International Book Distributors
Distributor address :Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi
Bill Number :117108
Bill Date :07/12/2021
028 ## - DISTRIBUTOR NAME
Distributor Name ;International Book Distributors
Distributor address :Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi
Bill Number :117823
Bill Date :30/05/2022
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.55 LAN
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Lang, Serge,
245 ## - TITLE STATEMENT
Title SL₂(R)
Statement of responsibility, etc /Serge Lang
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc New York
Name of publisher, distributor, etc : Springer-Verlag,
Date of publication, distribution, etc ©1985.
300 ## - PHYSICAL DESCRIPTION
Extent xiv, 428 pages : illustrations
Dimensions ; 25 cm.
365 ## - TRADE PRICE
Price amount 5429
365 ## - TRADE PRICE
Price amount 5339
490 ## - SERIES STATEMENT
Series statement Graduate texts in mathematics, 105.
505 ## - FORMATTED CONTENTS NOTE
Contents note I General Results.- 1 The representation on Cc(G).- 2 A criterion for complete reducibility.- 3 L2 kernels and operators.- 4 Plancherel measures.- II Compact Groups.- 1 Decomposition over K for SL2(R).- 2 Compact groups in general.- III Induced Representations.- 1 Integration on coset spaces.- 2 Induced representations.- 3 Associated spherical functions.- 4 The kernel defining the induced representation.- IV Spherical Functions.- 1 Bi-invariance.- 2 Irreducibility.- 3 The spherical property.- 4 Connection with unitary representations.- 5 Positive definite functions.- V The Spherical Transform.- 1 Integral formulas.- 2 The Harish transform.- 3 The Mellin transfor.- 4 The spherical transform.- 5 Explicit formulas and asymptotic expansions.- VI The Derived Representation on the Lie Algebra.- 1 The derived representation.- 2 The derived representation decomposed over K.- 3 Unitarization of a representation.- 4 The Lie derivatives on G.- 5 Irreducible components of the induced representations.- 6 Classification of all unitary irreducible representations.- 7 Separation by the trace.- VII Traces.- 1 Operators of trace class.- 2 Integral formulas.- 3 The trace in the induced representation.- 4 The trace in the discrete series.- 5 Relation between the Harish transforms on A and K.- Appendix. General facts about traces.- VIII The PlanchereS Formula.- 1 Calculus lemma.- 2 The Harish transforms discontinuities.- 3 Some lemmas.- 4 The Plancherel formula.- IX Discrete Series.- 1 Discrete series in L2(G).- 2 Representation in the upper half plane.- 3 Representation on the disc.- 4 The lifting of weight m.- 5 The holomorphic property.- X Partial Differential Operators.- 1 The universal enveloping algebra.- 2 Analytic vectors.- 3 Eigenfunctions of ?f.- XI The Well Representation.- 1 1.- 4 Symmetry of the Laplace operator on ?\?.- 5 The Laplace operator on ?\?.- 6 Green's functions and the Whittaker equation.- 7 Decomposition of the resolvant on ?\? for ? > 3/2.- 8 The equation $$ - \psi ''(y) = {\text{ }}\frac{<!-- -->{s(1 - s)}}{<!-- -->{<!-- -->{y^2}}}\psi (y)\;on\;\left[ {a,\infty } \right) $$.- 9 Eigenfunctions of the Laplacian in L2?\? = H.- 10 The resolvant equations for 0 < ? < 2.- 11 The kernel of the resolvant for 0 < ? < 2.- 12 The Eisenstein operator and Eisenstein functions.- 13 The continuous part of the spectrum.- 14 Several cusps.- Appendix 1 Bounded Hermitian Operators and Schur's Lemma.- 1 Continuous functions of operators.- 2 Projection functions of operators.- Appendix 2 Unbounded Operators.- 1 Self-adjoint operators.- 2 The spectral measure.- 3 The resolvant formula.- Appendix 3 Meromorphic Families of Operators.- 1 Compact operators.- 2 Bounded operators.- Appendix 4 Elliptic PDF.- 1 Sobolev spaces.- 2 Ordinary estimates.- 3 Elliptic estimates.- 4 Compactness and regularity on the torus.- 5 Regularity in Euclidean space.- Appendix 5 Weak and Strong Analyticity.- 1 Complex theorem.- 2 Real theorem.- Symbols Frequently Used.
520 ## - SUMMARY, ETC.
Summary, etc SL2(R) gives the student an introduction to the infinite dimensional representation theory of semisimple Lie groups by concentrating on one example - SL2(R). The rapid development of representation theory over the past 40 years has made it increasingly difficult for a student to enter the field.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebra
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Lie groups.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Darstellungstheorie.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Representations of groups.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Representatie (wiskunde)
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Groupes de Lie semi-simples.
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Lang, Serge,
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Source of acquisition Cost, normal purchase price Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type Public note
    Dewey Decimal Classification   Not For Loan Mathematics Departmental Library SNU LIBRARY 20/12/2021 International Book Distributors 5429.00   512.55 LAN M326 20/12/2021 20/12/2021 Mathematics Departmental Library FPDA Grant
    Dewey Decimal Classification   Not For Loan SNU LIBRARY SNU LIBRARY 16/06/2022 International Book Distributors 5339.00   512.55 LAN 28763 16/06/2022 16/06/2022 Books Books Shifted in Mathematics Dept.
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