Function spaces, entropy numbers, differential operators:
The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Advances have shed light upon classical problems in this area, and this book presents a fresh approach, largely based upon the results of the authors. The emphasis here is on a topic of central importan...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1996
|
| Series: | Cambridge tracts in mathematics
120 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Advances have shed light upon classical problems in this area, and this book presents a fresh approach, largely based upon the results of the authors. The emphasis here is on a topic of central importance in analysis, namely the relationship between i) function spaces on Euclidean n-space and on domains; ii) entropy numbers in quasi-Banach spaces; and iii) the distribution of the eigenvalues of degenerate elliptic (pseudo) differential operators. The treatment is largely self-contained and accessible to non-specialists. Both experts and newcomers alike will welcome this unique exposition |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 Online-Ressource (xi, 252 Seiten) |
| ISBN: | 9780511662201 |
| DOI: | 10.1017/CBO9780511662201 |
Staff View
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043941835 | ||
| 003 | DE-604 | ||
| 005 | 20190328 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s1996 |||| o||u| ||||||eng d | ||
| 020 | |a 9780511662201 |c Online |9 978-0-511-66220-1 | ||
| 024 | 7 | |a 10.1017/CBO9780511662201 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9780511662201 | ||
| 035 | |a (OCoLC)849904237 | ||
| 035 | |a (DE-599)BVBBV043941835 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 |a DE-355 | ||
| 082 | 0 | |a 515/.73 |2 20 | |
| 084 | |a SK 280 |0 (DE-625)143228: |2 rvk | ||
| 084 | |a SK 620 |0 (DE-625)143249: |2 rvk | ||
| 100 | 1 | |a Edmunds, David E. |d 1931- |e Verfasser |0 (DE-588)129315176 |4 aut | |
| 245 | 1 | 0 | |a Function spaces, entropy numbers, differential operators |c D.E. Edmunds, H. Triebel |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1996 | |
| 300 | |a 1 Online-Ressource (xi, 252 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Cambridge tracts in mathematics |v 120 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a 1. The Abstract Background -- 2. Function Spaces -- 3. Entropy and Approximation Numbers of Embeddings -- 4. Weighted Function Spaces and Entropy Numbers -- 5. Elliptic Operators | |
| 520 | |a The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Advances have shed light upon classical problems in this area, and this book presents a fresh approach, largely based upon the results of the authors. The emphasis here is on a topic of central importance in analysis, namely the relationship between i) function spaces on Euclidean n-space and on domains; ii) entropy numbers in quasi-Banach spaces; and iii) the distribution of the eigenvalues of degenerate elliptic (pseudo) differential operators. The treatment is largely self-contained and accessible to non-specialists. Both experts and newcomers alike will welcome this unique exposition | ||
| 650 | 4 | |a Function spaces | |
| 650 | 4 | |a Entropy (Information theory) | |
| 650 | 4 | |a Differential operators | |
| 650 | 0 | 7 | |a Funktionenraum |0 (DE-588)4134834-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Entropie |0 (DE-588)4014894-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialoperator |0 (DE-588)4012251-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Eigenwert |0 (DE-588)4151200-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Funktionenraum |0 (DE-588)4134834-5 |D s |
| 689 | 0 | 1 | |a Entropie |0 (DE-588)4014894-4 |D s |
| 689 | 0 | 2 | |a Differentialoperator |0 (DE-588)4012251-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Differentialoperator |0 (DE-588)4012251-7 |D s |
| 689 | 1 | 1 | |a Eigenwert |0 (DE-588)4151200-5 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Triebel, Hans |d 1936- |e Sonstige |0 (DE-588)133515923 |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-0-521-56036-8 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-0-521-05975-6 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9780511662201 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029350805 | ||
| 966 | e | |u https://doi.org/10.1017/CBO9780511662201 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511662201 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511662201 |l UBR01 |p ZDB-20-CBO |q UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |x Verlag |3 Volltext | |
Record in the Search Index
| _version_ | 1804176884036009984 |
|---|---|
| any_adam_object | |
| author | Edmunds, David E. 1931- |
| author_GND | (DE-588)129315176 (DE-588)133515923 |
| author_facet | Edmunds, David E. 1931- |
| author_role | aut |
| author_sort | Edmunds, David E. 1931- |
| author_variant | d e e de dee |
| building | Verbundindex |
| bvnumber | BV043941835 |
| classification_rvk | SK 280 SK 620 |
| collection | ZDB-20-CBO |
| contents | 1. The Abstract Background -- 2. Function Spaces -- 3. Entropy and Approximation Numbers of Embeddings -- 4. Weighted Function Spaces and Entropy Numbers -- 5. Elliptic Operators |
| ctrlnum | (ZDB-20-CBO)CR9780511662201 (OCoLC)849904237 (DE-599)BVBBV043941835 |
| 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 |
| doi_str_mv | 10.1017/CBO9780511662201 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03462nmm a2200625zcb4500</leader><controlfield tag="001">BV043941835</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20190328 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s1996 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511662201</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-511-66220-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9780511662201</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9780511662201</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)849904237</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043941835</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-355</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.73</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 280</subfield><subfield code="0">(DE-625)143228:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 620</subfield><subfield code="0">(DE-625)143249:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Edmunds, David E.</subfield><subfield code="d">1931-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)129315176</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Function spaces, entropy numbers, differential operators</subfield><subfield code="c">D.E. Edmunds, H. Triebel</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">1996</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xi, 252 Seiten)</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Cambridge tracts in mathematics</subfield><subfield code="v">120</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 05 Oct 2015)</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">1. The Abstract Background -- 2. Function Spaces -- 3. Entropy and Approximation Numbers of Embeddings -- 4. Weighted Function Spaces and Entropy Numbers -- 5. Elliptic Operators</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Advances have shed light upon classical problems in this area, and this book presents a fresh approach, largely based upon the results of the authors. The emphasis here is on a topic of central importance in analysis, namely the relationship between i) function spaces on Euclidean n-space and on domains; ii) entropy numbers in quasi-Banach spaces; and iii) the distribution of the eigenvalues of degenerate elliptic (pseudo) differential operators. The treatment is largely self-contained and accessible to non-specialists. Both experts and newcomers alike will welcome this unique exposition</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Function spaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Entropy (Information theory)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential operators</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="650" ind1="0" ind2="7"><subfield code="a">Entropie</subfield><subfield code="0">(DE-588)4014894-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialoperator</subfield><subfield code="0">(DE-588)4012251-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Eigenwert</subfield><subfield code="0">(DE-588)4151200-5</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">Entropie</subfield><subfield code="0">(DE-588)4014894-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Differentialoperator</subfield><subfield code="0">(DE-588)4012251-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Differentialoperator</subfield><subfield code="0">(DE-588)4012251-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Eigenwert</subfield><subfield code="0">(DE-588)4151200-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Triebel, Hans</subfield><subfield code="d">1936-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)133515923</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-0-521-56036-8</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-0-521-05975-6</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9780511662201</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029350805</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511662201</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511662201</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511662201</subfield><subfield code="l">UBR01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">UBR Einzelkauf (Lückenergänzung CUP Serien 2018)</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043941835 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511662201 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350805 |
| oclc_num | 849904237 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (xi, 252 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Edmunds, David E. 1931- Verfasser (DE-588)129315176 aut Function spaces, entropy numbers, differential operators D.E. Edmunds, H. Triebel Cambridge Cambridge University Press 1996 1 Online-Ressource (xi, 252 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 120 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1. The Abstract Background -- 2. Function Spaces -- 3. Entropy and Approximation Numbers of Embeddings -- 4. Weighted Function Spaces and Entropy Numbers -- 5. Elliptic Operators The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Advances have shed light upon classical problems in this area, and this book presents a fresh approach, largely based upon the results of the authors. The emphasis here is on a topic of central importance in analysis, namely the relationship between i) function spaces on Euclidean n-space and on domains; ii) entropy numbers in quasi-Banach spaces; and iii) the distribution of the eigenvalues of degenerate elliptic (pseudo) differential operators. The treatment is largely self-contained and accessible to non-specialists. Both experts and newcomers alike will welcome this unique exposition Function spaces Entropy (Information theory) Differential operators Funktionenraum (DE-588)4134834-5 gnd rswk-swf Entropie (DE-588)4014894-4 gnd rswk-swf Differentialoperator (DE-588)4012251-7 gnd rswk-swf Eigenwert (DE-588)4151200-5 gnd rswk-swf Funktionenraum (DE-588)4134834-5 s Entropie (DE-588)4014894-4 s Differentialoperator (DE-588)4012251-7 s DE-604 Eigenwert (DE-588)4151200-5 s Triebel, Hans 1936- Sonstige (DE-588)133515923 oth Erscheint auch als Druck-Ausgabe 978-0-521-56036-8 Erscheint auch als Druck-Ausgabe 978-0-521-05975-6 https://doi.org/10.1017/CBO9780511662201 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Edmunds, David E. 1931- Function spaces, entropy numbers, differential operators 1. The Abstract Background -- 2. Function Spaces -- 3. Entropy and Approximation Numbers of Embeddings -- 4. Weighted Function Spaces and Entropy Numbers -- 5. Elliptic Operators Function spaces Entropy (Information theory) Differential operators Funktionenraum (DE-588)4134834-5 gnd Entropie (DE-588)4014894-4 gnd Differentialoperator (DE-588)4012251-7 gnd Eigenwert (DE-588)4151200-5 gnd |
| subject_GND | (DE-588)4134834-5 (DE-588)4014894-4 (DE-588)4012251-7 (DE-588)4151200-5 |
| title | Function spaces, entropy numbers, differential operators |
| title_auth | Function spaces, entropy numbers, differential operators |
| title_exact_search | Function spaces, entropy numbers, differential operators |
| title_full | Function spaces, entropy numbers, differential operators D.E. Edmunds, H. Triebel |
| title_fullStr | Function spaces, entropy numbers, differential operators D.E. Edmunds, H. Triebel |
| title_full_unstemmed | Function spaces, entropy numbers, differential operators D.E. Edmunds, H. Triebel |
| title_short | Function spaces, entropy numbers, differential operators |
| title_sort | function spaces entropy numbers differential operators |
| topic | Function spaces Entropy (Information theory) Differential operators Funktionenraum (DE-588)4134834-5 gnd Entropie (DE-588)4014894-4 gnd Differentialoperator (DE-588)4012251-7 gnd Eigenwert (DE-588)4151200-5 gnd |
| topic_facet | Function spaces Entropy (Information theory) Differential operators Funktionenraum Entropie Differentialoperator Eigenwert |
| url | https://doi.org/10.1017/CBO9780511662201 |
| work_keys_str_mv | AT edmundsdavide functionspacesentropynumbersdifferentialoperators AT triebelhans functionspacesentropynumbersdifferentialoperators |