000 02011nam a22001937a 4500
008 211012b1970 |||||||| |||| 00| 0 eng d
020 _a9783662245958
082 _a512.25 HEW-E
100 _aHewitt, Edwin
245 _aAbstract harmonic analysis (Volume 2) /
_bstructure and analysis for compact groups analysis on locally compact abelian groups /
_cEdwin Hewitt and Kenneth A. Ross
260 _aNew York
_bSpringer
_c1970
300 _a771 p.
365 _aEU
_b109.99.
500 _aThis book is a continuation of Volume I of the same title [Grund­ Lehren der mathematischen Wissenschaften, Band 115 ]. We constantly 1 1. The textbook Real and cite definitions and results from Volume abstract analysis by E. HEWITT and K. R. STROMBERG [Berlin · Gottin­ gen ·Heidelberg: Springer-Verlag 1965], which appeared between the publication of the two volumes of this work, contains many standard facts from the analysis. We use this book as a convenient reference for such facts and denote it in the text by RAAA. Most readers will have only an occasional need actually to read in RAAA. Our goal in this volume is to present the most important parts of harmonic analysis on compact groups and on locally compact Abelian groups. We deal with general locally compact groups only where they are the natural setting for what we are considering, or where one or another group provides a useful counterexample. Readers who are interested only in compact groups may read as follows: § 27, Appendix D, §§ 28-30 [omitting subheads (30.6)-(30.60)ifdesired], (31.22)-(31.25), §§ 32, 34-38, 44. Readers who are interested only in locally compact Abelian groups may read as follows: §§ 31-33, 39-42, selected Mis­ cellaneous Theorems and Examples in §§34-38. For all readers, § 43 is interesting but optional. Obviously, we have not been able to cover all of the harmonic analysis.
650 _aHarmonic analysis
650 _aTopological groups
650 _aMathematics
700 _aRoss, Kenneth A.
999 _c68749
_d68749