TY - BOOK AU - Magyar,Zolt�an TI - Continuous linear representations T2 - North-Holland mathematics studies AV - QA387 .M34 1992eb U1 - 512/.55 22 PY - 1992/// CY - Amsterdam, New York, New York, N.Y., U.S.A. PB - North-Holland, Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co. KW - Lie groups KW - Representations of groups KW - Lie, Groupes de KW - Repr�esentations de groupes KW - Lie, groupes de KW - ram KW - Alg�ebre lin�eaire KW - fast KW - Electronic books N1 - Includes bibliographical references (p. 283-290) and indexes N2 - This monograph gives access to the theory of continuous linear representations of general real Lie groups to readers who are already familiar with the rudiments of functional analysis and Lie groups. The first half of the book is centered around the relation between a continuous linear representation (of a Lie group over a Banach space or even a more general space) and its tangent; the latter is a Lie algebra representation in a sense. Starting with the Hille-Yosida theory, quite recent results are reached. The second half is more standard unitary theory with applications concerning the Galilean and Poinca�r groups. Appendices help readers with diverse backgrounds to find the precise descriptions of the concepts needed from earlier literature. Each chapter includes exercises UR - http://www.sciencedirect.com/science/book/9780444890726 ER -