000 02498nam a22003858i 4500
001 CR9780511566189
003 UkCbUP
005 20200124160241.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090518s1977||||enk o ||1 0|eng|d
020 _a9780511566189 (ebook)
020 _z9780521213769 (hardback)
020 _z9780521604888 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA351
_b.H57 1977
082 0 0 _a515/.5
_218
100 1 _aHiggins, J. R.
_q(John Rowland),
_d1935-
_eauthor.
245 1 0 _aCompleteness and basis properties of sets of special functions /
_cJ.R. Higgins.
246 3 _aCompleteness & Basis Properties of Sets of Special Functions
264 1 _aCambridge :
_bCambridge University Press,
_c1977.
300 _a1 online resource (x, 134 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge tracts in mathematics ;
_v72
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis 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 with its generalisations and applications, is discussed in some detail, and there is an introduction to the theory of stability of bases. The last chapter deals with complete sets as eigenfunctions of differential and a table of a wide variety of bases and complete sets of special functions. Dr Higgins' account will be useful to graduate students of mathematics and professional mathematicians, especially Banach spaces. The emphasis on methods of testing and their applications will also interest scientists and engineers engaged in fields such as the sampling theory of signals in electrical engineering and boundary value problems in mathematical physics.
650 0 _aFunctions, Special.
650 0 _aSeries, Orthogonal.
650 0 _aLp spaces.
776 0 8 _iPrint version:
_z9780521213769
830 0 _aCambridge tracts in mathematics ;
_v72.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511566189
999 _c518533
_d518531