東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Completeness and basis properties of...

Higgins, J. R. (1935-)

FindBook

Google Book

Amazon

博客來

Completeness and basis properties of sets of special functions

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Completeness and basis properties of sets of special functions/ J.R. Higgins.
其他題名:	Completeness & Basis Properties of Sets of Special Functions
作者:	Higgins, J. R.
出版者:	Cambridge :Cambridge University Press, : 1977.,
面頁冊數:	x, 134 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Functions, Special. -
電子資源:	https://doi.org/10.1017/CBO9780511566189
ISBN:	9780511566189

Completeness and basis properties of sets of special functions
Higgins, J. R.1935-

Completeness and basis properties of sets of special functions[electronic resource] /Completeness & Basis Properties of Sets of Special FunctionsJ.R. Higgins. - Cambridge :Cambridge University Press,1977. - x, 134 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;72. - Cambridge tracts in mathematics ;72..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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 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.

ISBN: 9780511566189Subjects--Topical Terms:

606076
Functions, Special.

LC Class. No.: QA351 / .H57 1977

Dewey Class. No.: 515.5

Completeness and basis properties of sets of special functions
LDR:02119nmm a2200289 a 4500 001 2227217
003 UkCbUP
005 20151005020622.0
006 m d
007 cr nn 008maaau
008 210414s1977 enk o 1 0 eng d
020 $a 9780511566189 $q (electronic bk.)
020 $a 9780521213769 $q (hardback)
020 $a 9780521604888 $q (paperback)
035 $a CR9780511566189
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA351 $b .H57 1977
082 0 4 $a 515.5 $2 18
090 $a QA351 $b .H636 1977
100 1 $a Higgins, J. R. $q (John Rowland), $d 1935- $3 3470516
245 1 0 $a Completeness and basis properties of sets of special functions $h [electronic resource] / $c J.R. Higgins.
246 3 $a Completeness & Basis Properties of Sets of Special Functions
260 $a Cambridge : $b Cambridge University Press, $c 1977.
300 $a x, 134 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 72
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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 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 $a Functions, Special. $3 606076
650 0 $a Series, Orthogonal. $3 752179
650 0 $a Lp spaces. $3 620345
830 0 $a Cambridge tracts in mathematics ; $v 72. $3 3470517
856 4 0 $u https://doi.org/10.1017/CBO9780511566189