Distribution theory: convolution, Fourier transform, and Laplace transform
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
De Gruyter
2013
|
| Series: | De Gruyter graduate lectures
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | VIII, 105 S. graph. Darst. |
| ISBN: | 3110295911 9783110295917 |
Staff View
MARC
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Record in the Search Index
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IMAGE 1
CONTENTS
P R E F A C E - V
1 I N T R O D U C T I O N 1
2 D E F I N I T I O N A N D FIRST P R O P E R T I E S O F D I S T R I B
U T I O N S 3
2 . 1 T E S T F U N C T I O N S 3
2 . 2 D I S T R I B U T I O N S 4
2 . 3 S U P P O R T O F A D I S T R I B U T I O N 6
3 D I F F E R E N T I A T I N G D I S T R I B U T I O N S 9
3 . 1 D E F I N I T I O N A N D P R O P E R T I E S 9
3 . 2 E X A M P L E S 1 0
3 . 3 T H E D I S T R I B U T I O N S * ^ " 1 (A ^ 0 , - 1 , - 2 , . .
.)* 1 2
3 . 4 E X E R C I S E S 1 4
3 . 5 G R E E N ' S F O R M U L A A N D H A R M O N I C F U N C T I O N
S 1 4
3 . 6 E X E R C I S E S 2 0
4 M U L T I P L I C A T I O N A N D C O N V E R G E N C E O F D I S T R
I B U T I O N S 2
4 . 1 M U L T I P L I C A T I O N W I T H A C F U N C T I O N 2 2
4 . 2 E X E R C I S E S 2 3
4 . 3 C O N V E R G E N C E IN D ' 2 3
4 . 4 E X E R C I S E S 2 4
5 D I S T R I B U T I O N S W I T H C O M P A C T S U P P O R T - 2 6
5.1 D E F I N I T I O N A N D P R O P E R T I E S 2 6
5 . 2 D I S T R I B U T I O N S S U P P O R T E D A T T H E O R I G I N
2 7
5 . 3 T A Y L O R ' S F O R M U L A F O R R " 2 7
5 . 4 S T R U C T U R E O F A D I S T R I B U T I O N * 2 8
6 C O N V O L U T I O N O F D I S T R I B U T I O N S 3 1
6 . 1 T E N S O R P R O D U C T O F D I S T R I B U T I O N S 3 1
6 . 2 C O N V O L U T I O N P R O D U C T O F D I S T R I B U T I O N S
3 3
6 . 3 A S S O C I A T I V I T Y O F T H E C O N V O L U T I O N P R O D
U C T 3 9
6 . 4 E X E R C I S E S 3 9
6 . 5 N E W T O N P O T E N T I A L S A N D H A R M O N I C F U N C T I
O N S 4 0
6 . 6 C O N V O L U T I O N E Q U A T I O N S 4 2
6 . 7 S Y M B O L I C C A L C U L U S O F H E A V I S I D E 4 5
6 . 8 V O L T E R R A I N T E G R A L E Q U A T I O N S O F T H E S E C
O N D K I N D
HTTP://D-NB.INFO/1030085935
IMAGE 2
VIII - C O N T E N T S
6 . 9 E X E R C I S E S 4 9
6 . 1 0 S Y S T E M S O F C O N V O L U T I O N E Q U A T I O N S * 5 0
6 . 1 1 E X E R C I S E S 5 1
7 T H E FOURIER T R A N S F O R M 5 2
7.1 F O U R I E R T R A N S F O R M O F A F U N C T I O N O N R 5 2
7.2 T H E I N V E R S I O N T H E O R E M 5 4
7.3 P L A N C H E R E L ' S T H E O R E M 5 6
7 . 4 D I F F E R E N T I A B I L I T Y P R O P E R T I E S 5 7
7.5 T H E S C H W A R T Z S P A C E S(IR) 5 8
7 . 6 T H E S P A C E O F T E M P E R E D D I S T R I B U T I O N S S '
( R ) 6 0
7 . 7 S T R U C T U R E O F A T E M P E R E D D I S T R I B U T I O N *
6 1
7 . 8 F O U R I E R T R A N S F O R M O F A T E M P E R E D D I S T R I
B U T I O N 6 3
7 . 9 P A L E Y - W I E N E R T H E O R E M S O N R * 6 5
7 . 1 0 E X E R C I S E S 6 8
7.11 F O U R I E R T R A N S F O R M IN R " 6 9
7.12 T H E H E A T O R D I F F U S I O N E Q U A T I O N IN O N E D I M
E N S I O N
8 T H E L A P L A C E T R A N S F O R M 7 4
8 . 1 L A P L A C E T R A N S F O R M O F A F U N C T I O N 7 4
8 . 2 L A P L A C E T R A N S F O R M O F A D I S T R I B U T I O N 7 5
8 . 3 L A P L A C E T R A N S F O R M A N D C O N V O L U T I O N 7 6
8 . 4 I N V E R S I O N F O R M U L A F O R T H E L A P L A C E T R A N
S F O R M 7 9
9 S U M M A B L E D I S T R I B U T I O N S * 8 2
9.1 D E F I N I T I O N A N D M A I N P R O P E R T I E S 8 2
9 . 2 T H E I T E R A T E D P O I S S O N E Q U A T I O N 8 3
9 . 3 P R O O F O F T H E M A I N T H E O R E M 8 4
9 . 4 C A N O N I C A L E X T E N S I O N O F A S U M M A B L E D I S T
R I B U T I O N
9 . 5 R A N K O F A D I S T R I B U T I O N 8 7
1 0 A P P E N D I X 9 0
1 0 . 1 T H E B A N A C H - S T E I N H A U S T H E O R E M 9 0
1 0 . 2 T H E B E T A A N D G A M M A F U N C T I O N 9 7
11 H I N T S T O T H E E X E R C I S E S 1 0 2
R E F E R E N C E S 1 0 7
I N D E X - 1 0 9 |
| any_adam_object | 1 |
| author | Dijk, Gerrit van 1939- |
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| author_facet | Dijk, Gerrit van 1939- |
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| bvnumber | BV040915240 |
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| ctrlnum | (OCoLC)840914115 (DE-599)DNB1030085935 |
| dewey-full | 515.782 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.782 |
| dewey-search | 515.782 |
| dewey-sort | 3515.782 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| institution | BVB |
| isbn | 3110295911 9783110295917 |
| language | English |
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| physical | VIII, 105 S. graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
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| publisher | De Gruyter |
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| series2 | De Gruyter graduate lectures |
| spelling | Dijk, Gerrit van 1939- Verfasser (DE-588)115337040 aut Distribution theory convolution, Fourier transform, and Laplace transform Gerrit van Dijk Berlin [u.a.] De Gruyter 2013 VIII, 105 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier De Gruyter graduate lectures Distributionstheorie (DE-588)4150254-1 gnd rswk-swf Distributionstheorie (DE-588)4150254-1 s DE-604 Erscheint auch als Online-Ausgabe 978-3-11-029851-2 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4240917&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025894487&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dijk, Gerrit van 1939- Distribution theory convolution, Fourier transform, and Laplace transform Distributionstheorie (DE-588)4150254-1 gnd |
| subject_GND | (DE-588)4150254-1 |
| title | Distribution theory convolution, Fourier transform, and Laplace transform |
| title_auth | Distribution theory convolution, Fourier transform, and Laplace transform |
| title_exact_search | Distribution theory convolution, Fourier transform, and Laplace transform |
| title_full | Distribution theory convolution, Fourier transform, and Laplace transform Gerrit van Dijk |
| title_fullStr | Distribution theory convolution, Fourier transform, and Laplace transform Gerrit van Dijk |
| title_full_unstemmed | Distribution theory convolution, Fourier transform, and Laplace transform Gerrit van Dijk |
| title_short | Distribution theory |
| title_sort | distribution theory convolution fourier transform and laplace transform |
| title_sub | convolution, Fourier transform, and Laplace transform |
| topic | Distributionstheorie (DE-588)4150254-1 gnd |
| topic_facet | Distributionstheorie |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4240917&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025894487&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT dijkgerritvan distributiontheoryconvolutionfouriertransformandlaplacetransform |