Details:
Title  Analysis of Dirac systems and computational algebra  Author(s)  Fabrizio Colombo, Irene Sabadini, Franciscus Sommen, Daniele C. Struppa  Type  Book, Chapter in Book, Conference Proceeding  Abstract  The book contains six chapters and a bibliography. Chapter 1, Background material, provides some basics and the most important tools to be used throughout the book. In order to make the book accessible to those readers who are not experts in either algebraic or analytic aspects, a minimal exposition, usually requiring several books, is given; the chapter is divided into three parts: algebraic tools, analytical tools, and elements of hyperfunction theory. The first heading refers to the fundamental notions of commutative algebra that underlie both algebraic geometry and algebraic analysis, the basic notions of sheaf theory, and the foundations of the theory of Gröbner bases. The part on analytical tools assembles the fundamental ideas on the space of distributions. The last section provides the reader with a view of hyperfunctions as specific generalized functions. An appendix contains the basic definitions of category theory. It is worth mentioning that although the chapter is intended to be just a collection of auxiliary facts, it is nicely written, expresses the author\\  Keywords  dirac operators, algebraic analysis, Groebner bases  ISBN  0817642552 
URL 
www.tlc185.com/coala 
Language  English  Series  Progress in Mathematical Physics  Volume  39  Pages  xiv 332  Publisher  Birkh\"auser Boston Inc.  Address  Boston, MA  Year  2004  Edition  0  Translation 
No  Refereed 
No 
