MARC details
000 -LEADER |
fixed length control field |
02097cam a22003975i 4500 |
001 - CONTROL NUMBER |
control field |
21663681 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
BD-ChPU |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20240507130915.0 |
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
fixed length control field |
m |o d | |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
fixed length control field |
cr ||||||||||| |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
151113s2015 gw |||| o |||| 0|eng |
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
LC control number |
2019740238 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783319160597 |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.1007/978-3-319-16059-7 |
Source of number or code |
doi |
035 ## - SYSTEM CONTROL NUMBER |
System control number |
(DE-He213)978-3-319-16059-7 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
DLC |
Language of cataloging |
eng |
Description conventions |
pn |
-- |
rda |
Transcribing agency |
DLC |
Modifying agency |
BD-ChPU |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBKF |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT037000 |
Source |
bisacsh |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBKF |
Source |
thema |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.7 A456a 2015 |
Edition number |
23 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Alpay, Daniel. |
Relator term |
author. |
245 13 - TITLE STATEMENT |
Title |
An Advanced Complex Analysis Problem Book : |
Remainder of title |
Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions / |
Statement of responsibility, etc |
by Daniel Alpay. |
250 ## - EDITION STATEMENT |
Edition statement |
1st ed. 2015. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
ix; 278 pages : |
Other physical details |
24cm. |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Prologue -- Part I, Analytic functions -- 1 Some algebra -- 2 Exercises in complex variables -- Part II, Topology and functional analysis -- 3 Topological spaces -- 4 Normed spaces -- 5 Locally convex topological vector spaces -- 6 Some functional analysis -- Part III, Hilbert spaces of analytic functions -- 7 Reproducing kernel Hilbert spaces -- 8 Hardy spaces -- 9 de Branges-Rovnyak spaces -- 10 Bergman spaces -- 11 Fock spaces -- Index -- Name index -- Notation index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert spaces of analytic functions are studied. |
526 ## - STUDY PROGRAM INFORMATION NOTE |
Program name |
Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Functional analysis. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Operator theory. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Functional Analysis. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Operator Theory. |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
International Standard Book Number |
9783319160580 |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
International Standard Book Number |
9783319160603 |
906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
a |
0 |
b |
ibc |
c |
origres |
d |
u |
e |
ncip |
f |
20 |
g |
y-gencatlg |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Library of Congress Classification |
Koha item type |
Books |