MARC details
000 -LEADER |
fixed length control field |
02940nam a22002897a 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20240625183540.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
240621b |||||||| |||| 00| 0 hin d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781470471743 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
NISER LIBRARY |
Language of cataloging |
eng |
Transcribing agency |
NISER LIBRARY |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
517.57 |
Item number |
KRA-D |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Krause, Ben |
245 10 - TITLE STATEMENT |
Title |
Discrete analogues in harmonic analysis : |
Remainder of title |
bourgain, stein, and beyond |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc. |
Rhode Island : |
Name of publisher, distributor, etc. |
American Mathematical Society, |
Date of publication, distribution, etc. |
2022. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xxvi, 563p. : |
Other physical details |
illustrations ; |
Dimensions |
24 cm. |
490 ## - SERIES STATEMENT |
Series statement |
Graduate studies in mathematics, |
Volume/sequential designation |
224. |
International Standard Serial Number |
1065-7339 ; |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references and index. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
This timely book explores certain modern topics and connections at the interface of harmonic analysis, ergodic theory, number theory, and additive combinatorics. The main ideas were pioneered by Bourgain and Stein, motivated by questions involving averages over polynomial sequences, but the subject has grown significantly over the last 30 years, through the work of many researchers, and has steadily become one of the most dynamic areas of modern harmonic analysis. The author has succeeded admirably in choosing and presenting a large number of ideas in a mostly self-contained and exciting monograph that reflects his interesting personal perspective and expertise into these topics. ―Alexandru Ionescu, Princeton University Discrete harmonic analysis is a rapidly developing field of mathematics that fuses together classical Fourier analysis, probability theory, ergodic theory, analytic number theory, and additive combinatorics in new and interesting ways. While one can find good treatments of each of these individual ingredients from other sources, to my knowledge this is the first text that treats the subject of discrete harmonic analysis holistically. The presentation is highly accessible and suitable for students with an introductory graduate knowledge of analysis, with many of the basic techniques explained first in simple contexts and with informal intuitions before being applied to more complicated problems; it will be a useful resource for practitioners in this field of all levels. ―Terence Tao, University of California, Los Angeles |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Harmonic analysis. |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Number theory. |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Dynamical systems and ergodic theory. |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Harmonic analysis on Euclidean spaces. |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Table of Contents |
Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/gsm-224-toc.pdf?_gl=1*1w862qq*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMxOTY2OS4wLjAuMA..">https://www.ams.org/bookstore/pspdf/gsm-224-toc.pdf?_gl=1*1w862qq*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMxOTY2OS4wLjAuMA..</a> |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Index |
Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/gsm-224-index.pdf?_gl=1*1qe8s1m*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMyMDY2Ni4wLjAuMA..">https://www.ams.org/bookstore/pspdf/gsm-224-index.pdf?_gl=1*1qe8s1m*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMyMDY2Ni4wLjAuMA..</a> |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Reviews |
Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/62960936-discrete-analogues-in-harmonic-analysis?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/62960936-discrete-analogues-in-harmonic-analysis?ref=nav_sb_ss_1_13#CommunityReviews</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Universal Decimal Classification |
Koha item type |
Book |