Unitary Representations and Harmonic Analysis: An IntroductionElsevier, 1 במרץ 1990 - 451 עמודים The principal aim of this book is to give an introduction to harmonic analysis and the theory of unitary representations of Lie groups. The second edition has been brought up to date with a number of textual changes in each of the five chapters, a new appendix on Fatou's theorem has been added in connection with the limits of discrete series, and the bibliography has been tripled in length. |
תוכן
| 1 | |
Chapter II Representations of SU2 and SO3 | 47 |
Chapter III The Fourier transform and unitary representations of Rn | 101 |
Chapter IV The Euclidean motion group | 155 |
Chapter V Unitary representation of SL2 R | 205 |
Appendix | 395 |
Notes | 411 |
| 417 | |
| 449 | |
מהדורות אחרות - הצג הכל
מונחים וביטויים נפוצים
algebra g analytic C*-function C*-vector called closed subspace compact group compact set compact supports continuous function converges Corollary decomposition defined denoted differential direct sum discrete series equivalent f belongs finite finite-dimensional Fourier series Fourier transform function f function on G Haar integral Haar measure Hence Hilbert space homomorphism inequality inner product invariant irreducible representations irreducible unitary representation isometry isomorphism K-finite Lemma Let f Let G Lie algebra Lie group G linear form matrix orthogonal orthonormal basis Parseval equality polynomial positive definite Proof Proposition 2.2 proved q.e.d. Definition q.e.d. Proposition Radon measure real number representation of G ſ ſ satisfies seminorms semisimple sentation sequence ſº space H strongly continuous subset Theorem 1.2 tion topological group trace class transform f uniformly uniquely unitary operator vector space
הפניות לספר זה
Noncommutative Harmonic Analysis <span dir=ltr>Michael Eugene Taylor</span> אין תצוגה מקדימה זמינה - 1986 |