Finite sums decompositions in mathematical analysis:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester u.a.
Wiley
1995
|
| Series: | Pure and applied mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 172 S. |
| ISBN: | 0471948276 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV010204794 | ||
| 003 | DE-604 | ||
| 005 | 20100819 | ||
| 007 | t | ||
| 008 | 950530s1995 |||| 00||| engod | ||
| 020 | |a 0471948276 |9 0-471-94827-6 | ||
| 035 | |a (OCoLC)832650211 | ||
| 035 | |a (DE-599)BVBBV010204794 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-11 | ||
| 082 | 0 | |a 519.4 | |
| 084 | |a SK 910 |0 (DE-625)143270: |2 rvk | ||
| 084 | |a MAT 464f |2 stub | ||
| 100 | 1 | |a Rassias, Themistocles M. |d 1951- |e Verfasser |0 (DE-588)120510057 |4 aut | |
| 245 | 1 | 0 | |a Finite sums decompositions in mathematical analysis |c Themistocles M. Rassias and Jaromir Šimsša |
| 264 | 1 | |a Chichester u.a. |b Wiley |c 1995 | |
| 300 | |a VI, 172 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Pure and applied mathematics | |
| 650 | 7 | |a Endliche Summe - Zerlegung |2 idsbb | |
| 650 | 7 | |a Zerlegung - Endliche Summe |2 idsbb | |
| 700 | 1 | |a Šimša, Jaromír |e Verfasser |4 aut | |
| 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=006780236&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006780236 | ||
Record in the Search Index
| _version_ | 1804124609420722176 |
|---|---|
| adam_text | CONTENTS
Prologue l
1. Functional determinants 9
1.1 Linear dependence in functional spaces 9
1.2 The Wronski determinant 10
1.3 The Gram determinant 21
1.4 The Casorati determinant 23
2. Basic decomposition theorems for functions of two 29
variables
2.1 The Wronski determinant of a function of two variables 29
2.2 The Casorati determinant of a function of two variables 35
2.3 Minimal decompositions 38
2.4 Matrix factorizations 44
3. Decompositions of functions of several variables 49
3.1 Method of reduction 50
3.2 Minimal and diagonal decompositions 53
3.3 Differential criteria 58
3.4 Matrix factorizations 64
4. Finite dimensional spaces of smooth functions 75
4.1 General Wronski matrices 76
4.2 Special systems of PDE s 78
4.3 Selection of derivatives for Wronskians 83
4.4 Generating and reducibility properties 88
5. Decompositions of smooth functions on manifolds 95
5.1 Differential conditions 96
5.2 Global decompositions 99
vi
6. Approximate decompositions of smooth functions 103
6.1 Two types of approximating sums 104
6.2 Error representation 106
6.3 Error estimation 111
6.4 Bounds for functional determinants 114
6.5 Proof of approximation theorems 117
7. The best ^ approximations of two place functions 119
7.1 Existence theory for best approximations 121
7.2 Integral equations for best approximations 125
7.3 Spectral properties 127
7.4 Best approximations and Hilbert Schmidt decompostions 130
8. Geometry of the d Alembert equation 133
8.1 Basic background from geometry of PDE s 134
8.2 Solutions of the d Alembert equation 142
Open problems 157
References 161
General notation 165
Symbol index 167
Subject index 169
|
| any_adam_object | 1 |
| author | Rassias, Themistocles M. 1951- Šimša, Jaromír |
| author_GND | (DE-588)120510057 |
| author_facet | Rassias, Themistocles M. 1951- Šimša, Jaromír |
| author_role | aut aut |
| author_sort | Rassias, Themistocles M. 1951- |
| author_variant | t m r tm tmr j š jš |
| building | Verbundindex |
| bvnumber | BV010204794 |
| classification_rvk | SK 910 |
| classification_tum | MAT 464f |
| ctrlnum | (OCoLC)832650211 (DE-599)BVBBV010204794 |
| dewey-full | 519.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.4 |
| dewey-search | 519.4 |
| dewey-sort | 3519.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01316nam a2200349 c 4500</leader><controlfield tag="001">BV010204794</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20100819 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">950530s1995 |||| 00||| engod</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0471948276</subfield><subfield code="9">0-471-94827-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)832650211</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010204794</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-11</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.4</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 910</subfield><subfield code="0">(DE-625)143270:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 464f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Rassias, Themistocles M.</subfield><subfield code="d">1951-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)120510057</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Finite sums decompositions in mathematical analysis</subfield><subfield code="c">Themistocles M. Rassias and Jaromir Šimsša</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Chichester u.a.</subfield><subfield code="b">Wiley</subfield><subfield code="c">1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 172 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="0" ind2=" "><subfield code="a">Pure and applied mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Endliche Summe - Zerlegung</subfield><subfield code="2">idsbb</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Zerlegung - Endliche Summe</subfield><subfield code="2">idsbb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Šimša, Jaromír</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</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=006780236&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:BVB01-006780236</subfield></datafield></record></collection> |
| id | DE-604.BV010204794 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:48:23Z |
| institution | BVB |
| isbn | 0471948276 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006780236 |
| oclc_num | 832650211 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-11 |
| owner_facet | DE-91G DE-BY-TUM DE-11 |
| physical | VI, 172 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Wiley |
| record_format | marc |
| series2 | Pure and applied mathematics |
| spelling | Rassias, Themistocles M. 1951- Verfasser (DE-588)120510057 aut Finite sums decompositions in mathematical analysis Themistocles M. Rassias and Jaromir Šimsša Chichester u.a. Wiley 1995 VI, 172 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics Endliche Summe - Zerlegung idsbb Zerlegung - Endliche Summe idsbb Šimša, Jaromír Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006780236&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rassias, Themistocles M. 1951- Šimša, Jaromír Finite sums decompositions in mathematical analysis Endliche Summe - Zerlegung idsbb Zerlegung - Endliche Summe idsbb |
| title | Finite sums decompositions in mathematical analysis |
| title_auth | Finite sums decompositions in mathematical analysis |
| title_exact_search | Finite sums decompositions in mathematical analysis |
| title_full | Finite sums decompositions in mathematical analysis Themistocles M. Rassias and Jaromir Šimsša |
| title_fullStr | Finite sums decompositions in mathematical analysis Themistocles M. Rassias and Jaromir Šimsša |
| title_full_unstemmed | Finite sums decompositions in mathematical analysis Themistocles M. Rassias and Jaromir Šimsša |
| title_short | Finite sums decompositions in mathematical analysis |
| title_sort | finite sums decompositions in mathematical analysis |
| topic | Endliche Summe - Zerlegung idsbb Zerlegung - Endliche Summe idsbb |
| topic_facet | Endliche Summe - Zerlegung Zerlegung - Endliche Summe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006780236&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT rassiasthemistoclesm finitesumsdecompositionsinmathematicalanalysis AT simsajaromir finitesumsdecompositionsinmathematicalanalysis |