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TitleAnalysis of Dirac systems and computational algebra
Author(s) Fabrizio Colombo, Irene Sabadini, Franciscus Sommen, Daniele C. Struppa
TypeBook, Chapter in Book, Conference Proceeding
AbstractThe 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\\
Keywordsdirac operators, algebraic analysis, Groebner bases
URL www.tlc185.com/coala
SeriesProgress in Mathematical Physics
Pagesxiv 332
PublisherBirkh\"auser Boston Inc.
AddressBoston, MA
Translation No
Refereed No