An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
2007
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
882 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 188, number 882 (third of 4 numbers)." |
| Beschreibung: | VI, 97 S. |
| ISBN: | 9780821839836 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV022504908 | ||
| 003 | DE-604 | ||
| 005 | 20150325 | ||
| 007 | t | ||
| 008 | 070711s2007 xxu |||| 00||| eng d | ||
| 010 | |a 2007060756 | ||
| 020 | |a 9780821839836 |9 978-0-8218-3983-6 | ||
| 035 | |a (OCoLC)87807425 | ||
| 035 | |a (DE-599)BVBBV022504908 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-355 |a DE-29T |a DE-188 |a DE-83 | ||
| 050 | 0 | |a QA323 | |
| 082 | 0 | |a 515/.73 | |
| 100 | 1 | |a Hedberg, Lars Inge |d 1935-2005 |e Verfasser |0 (DE-588)115051066 |4 aut | |
| 245 | 1 | 0 | |a An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation |c Lars Inge Hedberg ; Yuri Netrusov |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2007 | |
| 300 | |a VI, 97 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v 882 | |
| 500 | |a "Volume 188, number 882 (third of 4 numbers)." | ||
| 650 | 7 | |a Benaderingen (wiskunde) |2 gtt | |
| 650 | 7 | |a Functieruimten |2 gtt | |
| 650 | 4 | |a Function spaces | |
| 650 | 4 | |a Spectral synthesis (Mathematics) | |
| 650 | 4 | |a Approximation theory | |
| 650 | 0 | 7 | |a Approximationstheorie |0 (DE-588)4120913-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Spektralsynthese |0 (DE-588)4182173-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Funktionenraum |0 (DE-588)4134834-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Funktionenraum |0 (DE-588)4134834-5 |D s |
| 689 | 0 | 1 | |a Spektralsynthese |0 (DE-588)4182173-7 |D s |
| 689 | 0 | 2 | |a Approximationstheorie |0 (DE-588)4120913-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Netrusov, Yuri |e Verfasser |4 aut | |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v 882 |w (DE-604)BV008000141 |9 882 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015711910&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-015711910 | ||
Datensatz im Suchindex
| _version_ | 1804136605388111872 |
|---|---|
| adam_text | Contents
Introduction. Notation 1
Chapter 1. A Class of Function Spaces 5
1.1. Definitions and Basic Properties 5
1.2. Some Lemmas 16
1.3. Proof of Theorem 1.1.14 24
1.4. Some Lemmas on Orthogonalization 29
1.5. Proof of Theorem 1.1.15 33
1.6. Homogeneous Spaces 37
1.7. Proof of Theorem 1.6.12 43
1.8. Proof of Theorem 1.6.11 44
Chapter 2. Differentiability and Spectral Synthesis 47
2.1. Capacities and Differentials 47
2.2. Spectral Synthesis 52
2.3. Spectral Synthesis in Spaces of Distributions 57
2.4. Invariant Subspaces and a Theorem of Whitney 64
Chapter 3. Luzin Type Theorems 67
3.1. Luzin Approximation of Functions 67
3.2. Luzin Approximation of Distributions 77
Appendix. Whitney s Approximation Theorem in LP(RN), p 0 87
Bibliography 95
|
| adam_txt |
Contents
Introduction. Notation 1
Chapter 1. A Class of Function Spaces 5
1.1. Definitions and Basic Properties 5
1.2. Some Lemmas 16
1.3. Proof of Theorem 1.1.14 24
1.4. Some Lemmas on Orthogonalization 29
1.5. Proof of Theorem 1.1.15 33
1.6. Homogeneous Spaces 37
1.7. Proof of Theorem 1.6.12 43
1.8. Proof of Theorem 1.6.11 44
Chapter 2. Differentiability and Spectral Synthesis 47
2.1. Capacities and Differentials 47
2.2. Spectral Synthesis 52
2.3. Spectral Synthesis in Spaces of Distributions 57
2.4. Invariant Subspaces and a Theorem of Whitney 64
Chapter 3. Luzin Type Theorems 67
3.1. Luzin Approximation of Functions 67
3.2. Luzin Approximation of Distributions 77
Appendix. Whitney's Approximation Theorem in LP(RN), p 0 87
Bibliography 95 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Hedberg, Lars Inge 1935-2005 Netrusov, Yuri |
| author_GND | (DE-588)115051066 |
| author_facet | Hedberg, Lars Inge 1935-2005 Netrusov, Yuri |
| author_role | aut aut |
| author_sort | Hedberg, Lars Inge 1935-2005 |
| author_variant | l i h li lih y n yn |
| building | Verbundindex |
| bvnumber | BV022504908 |
| callnumber-first | Q - Science |
| callnumber-label | QA323 |
| callnumber-raw | QA323 |
| callnumber-search | QA323 |
| callnumber-sort | QA 3323 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)87807425 (DE-599)BVBBV022504908 |
| dewey-full | 515/.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.73 |
| dewey-search | 515/.73 |
| dewey-sort | 3515 273 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02050nam a2200505 cb4500</leader><controlfield tag="001">BV022504908</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20150325 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">070711s2007 xxu |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2007060756</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780821839836</subfield><subfield code="9">978-0-8218-3983-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)87807425</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV022504908</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA323</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.73</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hedberg, Lars Inge</subfield><subfield code="d">1935-2005</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)115051066</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation</subfield><subfield code="c">Lars Inge Hedberg ; Yuri Netrusov</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">2007</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 97 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">Memoirs of the American Mathematical Society</subfield><subfield code="v">882</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">"Volume 188, number 882 (third of 4 numbers)."</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Benaderingen (wiskunde)</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Functieruimten</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Function spaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Spectral synthesis (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Approximation theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Approximationstheorie</subfield><subfield code="0">(DE-588)4120913-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Spektralsynthese</subfield><subfield code="0">(DE-588)4182173-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionenraum</subfield><subfield code="0">(DE-588)4134834-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Funktionenraum</subfield><subfield code="0">(DE-588)4134834-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Spektralsynthese</subfield><subfield code="0">(DE-588)4182173-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Approximationstheorie</subfield><subfield code="0">(DE-588)4120913-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Netrusov, Yuri</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Memoirs of the American Mathematical Society</subfield><subfield code="v">882</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">882</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</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=015711910&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-015711910</subfield></datafield></record></collection> |
| id | DE-604.BV022504908 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T17:57:05Z |
| indexdate | 2024-07-09T20:59:03Z |
| institution | BVB |
| isbn | 9780821839836 |
| language | English |
| lccn | 2007060756 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015711910 |
| oclc_num | 87807425 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-29T DE-188 DE-83 |
| owner_facet | DE-355 DE-BY-UBR DE-29T DE-188 DE-83 |
| physical | VI, 97 S. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Hedberg, Lars Inge 1935-2005 Verfasser (DE-588)115051066 aut An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation Lars Inge Hedberg ; Yuri Netrusov Providence, RI American Mathematical Society 2007 VI, 97 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 882 "Volume 188, number 882 (third of 4 numbers)." Benaderingen (wiskunde) gtt Functieruimten gtt Function spaces Spectral synthesis (Mathematics) Approximation theory Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Spektralsynthese (DE-588)4182173-7 gnd rswk-swf Funktionenraum (DE-588)4134834-5 gnd rswk-swf Funktionenraum (DE-588)4134834-5 s Spektralsynthese (DE-588)4182173-7 s Approximationstheorie (DE-588)4120913-8 s DE-604 Netrusov, Yuri Verfasser aut Memoirs of the American Mathematical Society 882 (DE-604)BV008000141 882 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015711910&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hedberg, Lars Inge 1935-2005 Netrusov, Yuri An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation Memoirs of the American Mathematical Society Benaderingen (wiskunde) gtt Functieruimten gtt Function spaces Spectral synthesis (Mathematics) Approximation theory Approximationstheorie (DE-588)4120913-8 gnd Spektralsynthese (DE-588)4182173-7 gnd Funktionenraum (DE-588)4134834-5 gnd |
| subject_GND | (DE-588)4120913-8 (DE-588)4182173-7 (DE-588)4134834-5 |
| title | An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation |
| title_auth | An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation |
| title_exact_search | An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation |
| title_exact_search_txtP | An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation |
| title_full | An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation Lars Inge Hedberg ; Yuri Netrusov |
| title_fullStr | An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation Lars Inge Hedberg ; Yuri Netrusov |
| title_full_unstemmed | An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation Lars Inge Hedberg ; Yuri Netrusov |
| title_short | An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation |
| title_sort | an axiomatic approach to function spaces spectral synthesis and luzin approximation |
| topic | Benaderingen (wiskunde) gtt Functieruimten gtt Function spaces Spectral synthesis (Mathematics) Approximation theory Approximationstheorie (DE-588)4120913-8 gnd Spektralsynthese (DE-588)4182173-7 gnd Funktionenraum (DE-588)4134834-5 gnd |
| topic_facet | Benaderingen (wiskunde) Functieruimten Function spaces Spectral synthesis (Mathematics) Approximation theory Approximationstheorie Spektralsynthese Funktionenraum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015711910&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT hedberglarsinge anaxiomaticapproachtofunctionspacesspectralsynthesisandluzinapproximation AT netrusovyuri anaxiomaticapproachtofunctionspacesspectralsynthesisandluzinapproximation |