TY - BOOK ID - 77894998 TI - Spectral theory of linear differential operators and comparison algebras PY - 1987 SN - 1139886010 1107366011 1107370744 1107361109 1107369258 1299403816 1107363551 0511662831 9781107361102 9780511662836 9781107366015 9780521284431 0521284430 9781139886017 9781107370746 9781107369252 9781299403819 9781107363557 PB - Cambridge New York Cambridge University Press DB - UniCat KW - Differential operators. KW - Linear operators. KW - Linear maps KW - Maps, Linear KW - Operators, Linear KW - Operator theory KW - Operators, Differential KW - Differential equations UR - https://www.unicat.be/uniCat?func=search&query=sysid:77894998 AB - The main aim of this book is to introduce the reader to the concept of comparison algebra, defined as a type of C*-algebra of singular integral operators. The first part of the book develops the necessary elements of the spectral theory of differential operators as well as the basic properties of elliptic second order differential operators. The author then introduces comparison algebras and describes their theory in L2-spaces and L2-Soboler spaces, and in particular their importance in solving functional analytic problems involving differential operators. The book is based on lectures given in Sweden and the USA. ER -