Completeness and Basis Properties of Sets of Special Functions

by J.R. Higgins

This tract presents an exposition of methods for testing sets of special functions for completeness and basis properties, mostly in L2 and L2 spaces. The first chapter contains the theoretical background to the subject, largely in a general Hilbert space setting, and theorems in which the structure of Hilbert space is revealed by properties of its bases are dealt with. Later parts of the book deal with methods: for example, the Vitali criterion, together...

• Format: Paperback
• Language: English
• ISBN: 0521604885
• ISBN13: 9780521604888
• Release Date: June 2004
• Publisher: Cambridge University Press
• Length: 148 Pages
• Weight: 0.43 lbs.
• Dimensions: 0.3" x 5.5" x 8.5"