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03684cam a2200409 i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250820083930.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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| fixed length control field |
m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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250820t20232023enkm ob u001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781394236411 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
1394236417 |
| Qualifying information |
electronic book |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781394236411 |
| Qualifying information |
electronic book |
| 024 7# - OTHER STANDARD IDENTIFIER |
|---|
| Standard number or code |
10.1002/9781394236411 |
| Source of number or code |
doi |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)1398236810 |
| 041 ## - LANGUAGE CODE |
|---|
| Language code of text/sound track or separate title |
eng |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA324 |
| Item number |
.H37 2023 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515/.782 |
| Edition number |
23/eng/20230919 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Preferred name for the person |
Hassi, El Mustapha Ait Ben, |
| Relator term |
author. |
| 245 14 - TITLE STATEMENT |
|---|
| Title |
The theory of distributions : |
| Remainder of title |
introduction / |
| Statement of responsibility, etc |
El Mustapha Ait Ben Hassi. |
| 264 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
London, UK : |
| Name of publisher, distributor, etc |
ISTE, Ltd. ; |
| Place of publication, distribution, etc |
Hoboken, NJ : |
| Name of publisher, distributor, etc |
John Wiley & Sons, Inc., |
| Date of publication, distribution, etc |
2023. |
| 264 #4 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Date of publication, distribution, etc |
©2023. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource. |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent. |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia. |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier. |
| 340 ## - PHYSICAL MEDIUM |
|---|
| Source |
rdacc |
| Authority record control number or standard number |
http://rdaregistry.info/termList/RDAColourContent/1003. |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Mathematics and statistics. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - CONTENTS |
|---|
| Formatted contents note |
Table of Contents<br/>Preface ix<br/><br/>Introduction xi<br/><br/>Chapter 1 Topological Vector Spaces 1<br/><br/>1.1 Semi-norms 1<br/><br/>1.2 Topological vector space: definition and properties 2<br/><br/>1.3 Inductive limit topology 9<br/><br/>Chapter 2 Spaces of Test Functions 13<br/><br/>2.1 Multi-index notations 13<br/><br/>2.2 C∞ function with compact support 14<br/><br/>2.3 Exercises with solutions 26<br/><br/>Chapter 3 Distributions on an Open Set of Rd 37<br/><br/>3.1 Definitions 37<br/><br/>3.2 Examples of distributions 39<br/><br/>3.3 Convergence of sequences of distributions 48<br/><br/>3.4 Exercises with solutions 55<br/><br/>Chapter 4 Operations on Distributions 75<br/><br/>4.1 Multiplication by a C∞ function 75<br/><br/>4.2 Differentiation of a distribution 81<br/><br/>4.3 Transformations of distributions 100<br/><br/>4.4 Exercises with solutions 103<br/><br/>Chapter 5 Distribution Support 123<br/><br/>5.1 Distribution restriction and extension 123<br/><br/>5.2 Distribution support 126<br/><br/>5.3 Compact support distributions 132<br/><br/>5.4 Exercises with solutions 137<br/><br/>Chapter 6 Convolution of Distributions 151<br/><br/>6.1 Definition and examples 151<br/><br/>6.2 Properties of convolution 161<br/><br/>6.3 Exercises with solutions 167<br/><br/>Chapter 7 Schwartz Spaces and Tempered Distributions 179<br/><br/>7.1 S(Rd) Schwartz spaces 179<br/><br/>7.2 Tempered distributions 189<br/><br/>7.3 Exercises with solutions 196<br/><br/>Chapter 8 Fourier Transform 205<br/><br/>8.1 Fourier transform in L1(Rd) 205<br/><br/>8.2 Fourier transform in S(Rd) 220<br/><br/>8.2.1 Definition and first properties 220<br/><br/>8.3 Fourier transform in S(Rd) 230<br/><br/>8.4 Exercises with solutions 240<br/><br/>Chapter 9 Applications to ODEs and PDEs 263<br/><br/>9.1 Partial Fourier transform 263<br/><br/>9.2 Tempered solutions of differential equations 264<br/><br/>9.3 Fundamental solutions of certain PDEs 265<br/><br/>Appendix 269<br/><br/>References 275<br/><br/>Index 277 |
| 545 0# - BIOGRAPHICAL OR HISTORICAL DATA |
|---|
| Biographical or historical note |
About the Author<br/>El Mustapha Ait Ben Hassi is a professor-researcher and instructor in the preparatory program for the agrégation certification in mathematics at the CRMEF in Marrakech. He is a researcher in control theory and inverse problems and is an associate member of the LMDP laboratory at Cadi Ayyad University in Morocco. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Theory of distributions (Functional analysis) |
| Authority record control number |
https://id.loc.gov/authorities/subjects/sh85038549. |
| 655 #4 - INDEX TERM--GENRE/FORM |
|---|
| Genre/form data or focus term |
Electronic books. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Mathematics and statistics series (ISTE) |
| Authority record control number |
https://id.loc.gov/authorities/names/no2014013650. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
https://onlinelibrary.wiley.com/doi/book/10.1002/9781394236411 |
| Link text |
Full text is available at Wiley Online Library Click here to view |
| 942 ## - ADDED ENTRY ELEMENTS |
|---|
| Source of classification or shelving scheme |
|
| Item type |
EBOOK |