Introduction to Fourier analysis on Euclidean spaces:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Princeton, NJ
Princeton Univ. Press
1990
|
| Ausgabe: | 6. print. |
| Schriftenreihe: | Princeton mathematical series
32 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006793169&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | X, 297 S. |
| ISBN: | 069108078X 9780691080789 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV010221679 | ||
| 003 | DE-604 | ||
| 005 | 20100520 | ||
| 007 | t| | ||
| 008 | 950614s1990 xx |||| 00||| engod | ||
| 020 | |a 069108078X |9 0-691-08078-X | ||
| 020 | |a 9780691080789 |9 978-0-691-08078-9 | ||
| 035 | |a (OCoLC)257883425 | ||
| 035 | |a (DE-599)BVBBV010221679 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-92 |a DE-355 |a DE-19 |a DE-706 |a DE-634 | ||
| 082 | 0 | |a 515/.2433 | |
| 084 | |a SK 450 |0 (DE-625)143240: |2 rvk | ||
| 084 | |a MAT 424f |2 stub | ||
| 100 | 1 | |a Stein, Elias M. |d 1931-2018 |e Verfasser |0 (DE-588)119278596 |4 aut | |
| 245 | 1 | 0 | |a Introduction to Fourier analysis on Euclidean spaces |c by Elias M. Stein & Guido Weiss |
| 250 | |a 6. print. | ||
| 264 | 1 | |a Princeton, NJ |b Princeton Univ. Press |c 1990 | |
| 300 | |a X, 297 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Princeton mathematical series |v 32 | |
| 650 | 0 | 7 | |a Euklidischer Raum |0 (DE-588)4309127-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Harmonische Analyse |0 (DE-588)4023453-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Harmonische Analyse |0 (DE-588)4023453-8 |D s |
| 689 | 0 | 1 | |a Euklidischer Raum |0 (DE-588)4309127-1 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Weiss, Guido |e Verfasser |4 aut | |
| 830 | 0 | |a Princeton mathematical series |v 32 |w (DE-604)BV000019035 |9 32 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006793169&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006793169 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0048 MAT 420f 2001 A 29533(6) 0102 MAT 420f 2001 A 29533(6) |
|---|---|
| DE-BY-TUM_katkey | 655375 |
| DE-BY-TUM_location | LSB 01 |
| DE-BY-TUM_media_number | 040010227148 040020007121 040010365872 |
| _version_ | 1821938542094319617 |
| adam_text | Contents
Preface
vii
Chapter I. The Fourier Transform
1
1.
The basic L1 theory of the Fourier transform
1
2.
The I? theory and the Plancherel theorem
16
3.
The class of tempered distributions
19
4.
Further results
31
Chapter II. Boundary Values of Harmonic Functions
37
1.
Basic properties of harmonic functions
37
2.
The characterization of
Poisson
integrals
47
3.
The Hardy-Littlewood maximal function and non-
tangential convergence of harmonic functions
S3
4.
Subharmonic functions and majorization by harmonic
functions
75
5.
Further results
83
Chapter HI. The Theory of H Spaces on Tubes
89
1.
Introductory remarks
89
2.
The H% theory
91
3.
Tubes over cones
101
4.
The Paley-Wiener theorem
108
5.
The H theory
114
6.
Further results
121
Chapter IV. Symmetry Properties of the Fourier Transform
133
1.
Decomposition of L3(Ea) into subspaces invariant
under the Fourier transform
134
2.
Spherical harmonics
137
3.
The action of the Fourier transform on the spaces 4?fc
153
4.
Some applications
159
5.
Further results
172
χ
CONTENTS
Chapter V. Interpolation of Operators
177
1.
The M. Riesz convexity theorem and interpolation of
operators defined on Lp spaces
177
2.
The Marcinkiewicz interpolation theorem
183
3.
L(p, q) spaces
188
4.
Interpolation of analytic families of operators
205
5.
Further results
209
Chapter VI. Singular Integrals and Systems of Conjugate
Harmonic Functions
217
1.
The Hubert transform
217
2.
Singular integral operators with odd kernels
221
3.
Singular integral operators with even kernels
224
4.
W
spaces of conjugate harmonic functions
228
5.
Further results
238
Chapter
VII.
Multiple Fourier Series
245
1.
Elementary properties
245
2.
The
Poisson
summation formula
250
3.
Multiplier transformations
257
4.
Summability below the critical index (negative results)
267
5.
Summability below the critical index
275
6.
Further results
282
Bibliography
287
Index
295
|
| any_adam_object | 1 |
| author | Stein, Elias M. 1931-2018 Weiss, Guido |
| author_GND | (DE-588)119278596 |
| author_facet | Stein, Elias M. 1931-2018 Weiss, Guido |
| author_role | aut aut |
| author_sort | Stein, Elias M. 1931-2018 |
| author_variant | e m s em ems g w gw |
| building | Verbundindex |
| bvnumber | BV010221679 |
| classification_rvk | SK 450 |
| classification_tum | MAT 424f |
| ctrlnum | (OCoLC)257883425 (DE-599)BVBBV010221679 |
| dewey-full | 515/.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.2433 |
| dewey-search | 515/.2433 |
| dewey-sort | 3515 42433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 6. print. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01775nam a2200433 cb4500</leader><controlfield tag="001">BV010221679</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20100520 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">950614s1990 xx |||| 00||| engod</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">069108078X</subfield><subfield code="9">0-691-08078-X</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780691080789</subfield><subfield code="9">978-0-691-08078-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)257883425</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010221679</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.2433</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 450</subfield><subfield code="0">(DE-625)143240:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 424f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Stein, Elias M.</subfield><subfield code="d">1931-2018</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)119278596</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Introduction to Fourier analysis on Euclidean spaces</subfield><subfield code="c">by Elias M. Stein & Guido Weiss</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">6. print.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ</subfield><subfield code="b">Princeton Univ. Press</subfield><subfield code="c">1990</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 297 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Princeton mathematical series</subfield><subfield code="v">32</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Euklidischer Raum</subfield><subfield code="0">(DE-588)4309127-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Harmonische Analyse</subfield><subfield code="0">(DE-588)4023453-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Harmonische Analyse</subfield><subfield code="0">(DE-588)4023453-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Euklidischer Raum</subfield><subfield code="0">(DE-588)4309127-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Weiss, Guido</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Princeton mathematical series</subfield><subfield code="v">32</subfield><subfield code="w">(DE-604)BV000019035</subfield><subfield code="9">32</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006793169&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-006793169</subfield></datafield></record></collection> |
| id | DE-604.BV010221679 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T09:50:13Z |
| institution | BVB |
| isbn | 069108078X 9780691080789 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006793169 |
| oclc_num | 257883425 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-92 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-706 DE-634 |
| owner_facet | DE-91G DE-BY-TUM DE-92 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-706 DE-634 |
| physical | X, 297 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Princeton Univ. Press |
| record_format | marc |
| series | Princeton mathematical series |
| series2 | Princeton mathematical series |
| spellingShingle | Stein, Elias M. 1931-2018 Weiss, Guido Introduction to Fourier analysis on Euclidean spaces Princeton mathematical series Euklidischer Raum (DE-588)4309127-1 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| subject_GND | (DE-588)4309127-1 (DE-588)4023453-8 |
| title | Introduction to Fourier analysis on Euclidean spaces |
| title_auth | Introduction to Fourier analysis on Euclidean spaces |
| title_exact_search | Introduction to Fourier analysis on Euclidean spaces |
| title_full | Introduction to Fourier analysis on Euclidean spaces by Elias M. Stein & Guido Weiss |
| title_fullStr | Introduction to Fourier analysis on Euclidean spaces by Elias M. Stein & Guido Weiss |
| title_full_unstemmed | Introduction to Fourier analysis on Euclidean spaces by Elias M. Stein & Guido Weiss |
| title_short | Introduction to Fourier analysis on Euclidean spaces |
| title_sort | introduction to fourier analysis on euclidean spaces |
| topic | Euklidischer Raum (DE-588)4309127-1 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| topic_facet | Euklidischer Raum Harmonische Analyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006793169&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000019035 |
| work_keys_str_mv | AT steineliasm introductiontofourieranalysisoneuclideanspaces AT weissguido introductiontofourieranalysisoneuclideanspaces |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Handapparate (nicht verfügbar)
| Signatur: |
0048 MAT 420f 2001 A 29533(6)
Lageplan |
|---|---|
| Exemplar 1 | Dauerhaft ausgeliehen Ausgeliehen – Rückgabe bis: 31.12.9999 |
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 420f 2001 A 29533(6)
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |
| Exemplar 2 | Ausleihbar Am Standort |