Potential theory on infinite dimensional Abelian groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
De Gruyter
1995
|
| Series: | De Gruyter studies in mathematics
21 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Russ. übers. |
| Physical Description: | VI, 184 S. |
| ISBN: | 311014283X |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV010359453 | ||
| 003 | DE-604 | ||
| 005 | 19960119 | ||
| 007 | t | ||
| 008 | 950821s1995 gw |||| 00||| eng d | ||
| 016 | 7 | |a 945291035 |2 DE-101 | |
| 020 | |a 311014283X |9 3-11-014283-X | ||
| 035 | |a (OCoLC)243812689 | ||
| 035 | |a (DE-599)BVBBV010359453 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-91G |a DE-12 |a DE-739 |a DE-29T |a DE-824 |a DE-11 |a DE-188 | ||
| 082 | 0 | |a 519.2/33 | |
| 084 | |a SK 560 |0 (DE-625)143246: |2 rvk | ||
| 084 | |a SK 820 |0 (DE-625)143258: |2 rvk | ||
| 084 | |a MAT 205f |2 stub | ||
| 084 | |a MAT 310f |2 stub | ||
| 100 | 1 | |a Bendikov, Alexander |d 1950- |e Verfasser |0 (DE-588)113756593 |4 aut | |
| 240 | 1 | 0 | |a Verojatnostnaja teorija potenciala na beskonečnomernych abelevych gruppach |
| 245 | 1 | 0 | |a Potential theory on infinite dimensional Abelian groups |c Alexander Bendikov |
| 246 | 1 | 3 | |a Potential theory on infinite-dimensional Abelian groups |
| 264 | 1 | |a Berlin [u.a.] |b De Gruyter |c 1995 | |
| 300 | |a VI, 184 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter studies in mathematics |v 21 | |
| 500 | |a Aus dem Russ. übers. | ||
| 650 | 0 | 7 | |a Unendliche Abelsche Gruppe |0 (DE-588)4311192-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Potenzialtheorie |0 (DE-588)4046939-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Unendliche Abelsche Gruppe |0 (DE-588)4311192-0 |D s |
| 689 | 0 | 1 | |a Potenzialtheorie |0 (DE-588)4046939-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a De Gruyter studies in mathematics |v 21 |w (DE-604)BV000005407 |9 21 | |
| 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=006897297&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |n oe | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006897297 | ||
Record in the Search Index
| _version_ | 1804124784031694848 |
|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
Chapter 2. Elements of potential theory 7
2.1 Notation 7
2.2 Harmonic and hyperharmonic sheaves 7
2.3 The generalized Dirichlet problem 8
2.4 Harmonic spaces 9
2.5 Brelot and Bauer spaces 10
2.6 Smooth Bauer spaces 11
2.7 Markov processes 12
2.8 Markov processes on harmonic spaces 14
2.9 Probability interpretations 15
2.10 Duality 17
Chapter 3. Markov processes and harmonic structures 19
3.1 Markov processes and Brelot spaces 19
3.2 Markov processes and Bauer spaces 24
3.3 Projective sequences of harmonic spaces: examples, definitions, state¬
ments of theorems 33
3.4 Projective sequences of harmonic spaces: proofs of theorems 43
3.5 Projective sequences of harmonic spaces: some remarks on harmonic
functions on a Wiener space 67
Chapter 4. Markov processes and harmonic structures on a group 72
4.1 Harmonic groups 73
4.2 Space homogeneous processes and harmonic functions 81
4.3 Space homogeneous processes and harmonic functions: quasidiagonal
case 92
4.4 Bony s theorem on the group M 1 x F 101
vi Contents
Chapter 5. Elliptic equations on a group 106
5.1 Admissible distributions and multipliers 106
5.2 Weak solutions of elliptic equations (L^ theory) 118
5.3 Weyl s lemma and the hypoelliptic property 122
5.4 Bessel potentials on group T°° 130
Chapter 6. Special classes of harmonic functions and potentials 137
6.1 Spaces Mp of martingales with mixed norm 138
6.2 Classes /j of harmonic functions in the semispace T^ 151
6.3 Mp estimates of potentials. Sobolev inequality on group T00 157
Chapter 7. Some thoughts on probability and analysis on locally compact
groups 166
7.1 Dichotomy problem 166
7.2 Harmonic functions on a group 169
7.3 The problem of hypoellipticity 170
7.4 Can one hear the shape of a drum? 171
7.5 Geometry on a group 172
Bibliography 175
Index 183
|
| any_adam_object | 1 |
| author | Bendikov, Alexander 1950- |
| author_GND | (DE-588)113756593 |
| author_facet | Bendikov, Alexander 1950- |
| author_role | aut |
| author_sort | Bendikov, Alexander 1950- |
| author_variant | a b ab |
| building | Verbundindex |
| bvnumber | BV010359453 |
| classification_rvk | SK 560 SK 820 |
| classification_tum | MAT 205f MAT 310f |
| ctrlnum | (OCoLC)243812689 (DE-599)BVBBV010359453 |
| dewey-full | 519.2/33 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2/33 |
| dewey-search | 519.2/33 |
| dewey-sort | 3519.2 233 |
| 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>01913nam a2200481 cb4500</leader><controlfield tag="001">BV010359453</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19960119 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">950821s1995 gw |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">945291035</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">311014283X</subfield><subfield code="9">3-11-014283-X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)243812689</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010359453</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="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.2/33</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 560</subfield><subfield code="0">(DE-625)143246:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 820</subfield><subfield code="0">(DE-625)143258:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 205f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 310f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bendikov, Alexander</subfield><subfield code="d">1950-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)113756593</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Verojatnostnaja teorija potenciala na beskonečnomernych abelevych gruppach</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Potential theory on infinite dimensional Abelian groups</subfield><subfield code="c">Alexander Bendikov</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Potential theory on infinite-dimensional Abelian groups</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">De Gruyter</subfield><subfield code="c">1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 184 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">De Gruyter studies in mathematics</subfield><subfield code="v">21</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Aus dem Russ. übers.</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Unendliche Abelsche Gruppe</subfield><subfield code="0">(DE-588)4311192-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Potenzialtheorie</subfield><subfield code="0">(DE-588)4046939-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Unendliche Abelsche Gruppe</subfield><subfield code="0">(DE-588)4311192-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Potenzialtheorie</subfield><subfield code="0">(DE-588)4046939-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">De Gruyter studies in mathematics</subfield><subfield code="v">21</subfield><subfield code="w">(DE-604)BV000005407</subfield><subfield code="9">21</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=006897297&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="n">oe</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-006897297</subfield></datafield></record></collection> |
| id | DE-604.BV010359453 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:51:10Z |
| institution | BVB |
| isbn | 311014283X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006897297 |
| oclc_num | 243812689 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-12 DE-739 DE-29T DE-824 DE-11 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-12 DE-739 DE-29T DE-824 DE-11 DE-188 |
| physical | VI, 184 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | De Gruyter |
| record_format | marc |
| series | De Gruyter studies in mathematics |
| series2 | De Gruyter studies in mathematics |
| spelling | Bendikov, Alexander 1950- Verfasser (DE-588)113756593 aut Verojatnostnaja teorija potenciala na beskonečnomernych abelevych gruppach Potential theory on infinite dimensional Abelian groups Alexander Bendikov Potential theory on infinite-dimensional Abelian groups Berlin [u.a.] De Gruyter 1995 VI, 184 S. txt rdacontent n rdamedia nc rdacarrier De Gruyter studies in mathematics 21 Aus dem Russ. übers. Unendliche Abelsche Gruppe (DE-588)4311192-0 gnd rswk-swf Potenzialtheorie (DE-588)4046939-6 gnd rswk-swf Unendliche Abelsche Gruppe (DE-588)4311192-0 s Potenzialtheorie (DE-588)4046939-6 s DE-604 De Gruyter studies in mathematics 21 (DE-604)BV000005407 21 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006897297&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bendikov, Alexander 1950- Potential theory on infinite dimensional Abelian groups De Gruyter studies in mathematics Unendliche Abelsche Gruppe (DE-588)4311192-0 gnd Potenzialtheorie (DE-588)4046939-6 gnd |
| subject_GND | (DE-588)4311192-0 (DE-588)4046939-6 |
| title | Potential theory on infinite dimensional Abelian groups |
| title_alt | Verojatnostnaja teorija potenciala na beskonečnomernych abelevych gruppach Potential theory on infinite-dimensional Abelian groups |
| title_auth | Potential theory on infinite dimensional Abelian groups |
| title_exact_search | Potential theory on infinite dimensional Abelian groups |
| title_full | Potential theory on infinite dimensional Abelian groups Alexander Bendikov |
| title_fullStr | Potential theory on infinite dimensional Abelian groups Alexander Bendikov |
| title_full_unstemmed | Potential theory on infinite dimensional Abelian groups Alexander Bendikov |
| title_short | Potential theory on infinite dimensional Abelian groups |
| title_sort | potential theory on infinite dimensional abelian groups |
| topic | Unendliche Abelsche Gruppe (DE-588)4311192-0 gnd Potenzialtheorie (DE-588)4046939-6 gnd |
| topic_facet | Unendliche Abelsche Gruppe Potenzialtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006897297&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005407 |
| work_keys_str_mv | AT bendikovalexander verojatnostnajateorijapotencialanabeskonecnomernychabelevychgruppach AT bendikovalexander potentialtheoryoninfinitedimensionalabeliangroups |