Integral geometry and valuations:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser Springer
2014
|
| Schriftenreihe: | Advanced courses in mathematics - CRM Barcelona
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783034808736 9783034808743 |
| DOI: | 10.1007/978-3-0348-0874-3 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV042198443 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 141120s2014 |||| o||u| ||||||eng d | ||
| 015 | |a 14,O11 |2 dnb | ||
| 016 | 7 | |a 1059286998 |2 DE-101 | |
| 020 | |a 9783034808736 |9 978-3-0348-0873-6 | ||
| 020 | |a 9783034808743 |c Online |9 978-3-0348-0874-3 | ||
| 024 | 7 | |a 10.1007/978-3-0348-0874-3 |2 doi | |
| 024 | 3 | |a 9783034808743 | |
| 035 | |a (OCoLC)897395649 | ||
| 035 | |a (DE-599)DNB1059286998 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-91 |a DE-739 |a DE-20 |a DE-19 |a DE-634 |a DE-861 |a DE-384 |a DE-83 | ||
| 082 | 0 | |a 516.1 | |
| 084 | |a 510 |2 sdnb | ||
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Alesker, Semyon |d 1972- |e Verfasser |0 (DE-588)106114187X |4 aut | |
| 245 | 1 | 0 | |a Integral geometry and valuations |c Semyon Alesker ; Joseph H.G. Fu |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser Springer |c 2014 | |
| 300 | |a 1 Online-Ressource | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Advanced courses in mathematics - CRM Barcelona | |
| 650 | 0 | 7 | |a Bewertungstheorie |0 (DE-588)4122918-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Integralgeometrie |0 (DE-588)4161911-0 |2 gnd |9 rswk-swf |
| 653 | |a Electronic book text | ||
| 689 | 0 | 0 | |a Integralgeometrie |0 (DE-588)4161911-0 |D s |
| 689 | 0 | 1 | |a Bewertungstheorie |0 (DE-588)4122918-6 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Fu, Joseph H. G. |e Verfasser |0 (DE-588)1061141942 |4 aut | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-0348-0874-3 |x Verlag |3 Volltext |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027637383&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027637383&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Abstract |
| 912 | |a ZDB-2-SMA | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027637383 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1007/978-3-0348-0874-3 |l BTU01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-0348-0874-3 |l FRO01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-0348-0874-3 |l TUM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-0348-0874-3 |l UBA01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-0348-0874-3 |l UBM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-0348-0874-3 |l UBT01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-0348-0874-3 |l UBW01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-0348-0874-3 |l UPA01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804152714104406016 |
|---|---|
| adam_text | INTEGRAL GEOMETRY AND VALUATIONS
/ ALESKER, SEMYON
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PART I: NEW STRUCTURES ON VALUATIONS AND APPLICATIONS
TRANSLATION INVARIANT VALUATIONS ON CONVEX SETS
VALUATIONS ON MANIFOLDS
PART II: ALGEBRAIC INTEGRAL GEOMETRY
CLASSICAL INTEGRAL GEOMETRY
CURVATURE MEASURES AND THE NORMAL CYCLE
INTEGRAL GEOMETRY OF EUCLIDEAN SPACES VIA ALESKER THEORY
VALUATIONS AND INTEGRAL GEOMETRY ON ISOTROPIC MANIFOLDS
HERMITIAN INTEGRAL GEOMETRY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
INTEGRAL GEOMETRY AND VALUATIONS
/ ALESKER, SEMYON
: 2014
ABSTRACT / INHALTSTEXT
VALUATIONS ARE FINITELY ADDITIVE FUNCTIONALS ON THE SPACE OF CONVEX
BODIES. THEIR STUDY HAS BECOME A CENTRAL SUBJECT IN CONVEXITY THEORY,
WITH FUNDAMENTAL APPLICATIONS TO INTEGRAL GEOMETRY. IN THE LAST YEARS
THERE HAS BEEN SIGNIFICANT PROGRESS IN THE THEORY OF VALUATIONS, WHICH
IN TURN HAS LED TO IMPORTANT ACHIEVEMENTS IN INTEGRAL GEOMETRY. THIS
BOOK ORIGINATED FROM TWO COURSES DELIVERED BY THE AUTHORS AT THE CRM AND
PROVIDES A SELF-CONTAINED INTRODUCTION TO THESE TOPICS, COVERING MOST OF
THE RECENT ADVANCES. THE FIRST PART, BY SEMYON ALESKER, IS DEVOTED TO
THE THEORY OF CONVEX VALUATIONS, WITH EMPHASIS ON THE LATEST
DEVELOPMENTS. A SPECIAL FOCUS IS PUT ON THE NEW FUNDAMENTAL STRUCTURES
OF THE SPACE OF VALUATIONS DISCOVERED AFTER ALESKER S IRREDUCIBILITY
THEOREM. MOREOVER, THE AUTHOR DESCRIBES THE NEWLY DEVELOPED THEORY OF
VALUATIONS ON MANIFOLDS. IN THE SECOND PART, JOSEPH H. G. FU GIVES A
MODERN INTRODUCTION TO INTEGRAL GEOMETRY IN THE SENSE OF BLASCHKE AND
SANTALO, BASED ON THE NOTIONS AND TOOLS PRESENTED IN THE FIRST PART. AT
THE CORE OF THIS APPROACH LIES THE CLOSE RELATIONSHIP BETWEEN KINEMATIC
FORMULAS AND ALESKER S PRODUCT OF VALUATIONS. THIS ORIGINAL VIEWPOINT
NOT ONLY ENLIGHTENS THE CLASSICAL INTEGRAL GEOMETRY OF EUCLIDEAN SPACE,
IT HAS ALSO PRODUCED PREVIOUSLY UNREACHABLE RESULTS, SUCH AS THE
EXPLICIT COMPUTATION OF KINEMATIC FORMULAS IN HERMITIAN SPACES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Alesker, Semyon 1972- Fu, Joseph H. G. |
| author_GND | (DE-588)106114187X (DE-588)1061141942 |
| author_facet | Alesker, Semyon 1972- Fu, Joseph H. G. |
| author_role | aut aut |
| author_sort | Alesker, Semyon 1972- |
| author_variant | s a sa j h g f jhg jhgf |
| building | Verbundindex |
| bvnumber | BV042198443 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)897395649 (DE-599)DNB1059286998 |
| dewey-full | 516.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.1 |
| dewey-search | 516.1 |
| dewey-sort | 3516.1 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-0874-3 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02993nmm a2200601zc 4500</leader><controlfield tag="001">BV042198443</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">141120s2014 |||| o||u| ||||||eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">14,O11</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1059286998</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783034808736</subfield><subfield code="9">978-3-0348-0873-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783034808743</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-0348-0874-3</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-0348-0874-3</subfield><subfield code="2">doi</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783034808743</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)897395649</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1059286998</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-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-861</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.1</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Alesker, Semyon</subfield><subfield code="d">1972-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)106114187X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Integral geometry and valuations</subfield><subfield code="c">Semyon Alesker ; Joseph H.G. Fu</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Basel [u.a.]</subfield><subfield code="b">Birkhäuser Springer</subfield><subfield code="c">2014</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource</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">Advanced courses in mathematics - CRM Barcelona</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Bewertungstheorie</subfield><subfield code="0">(DE-588)4122918-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Integralgeometrie</subfield><subfield code="0">(DE-588)4161911-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Electronic book text</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Integralgeometrie</subfield><subfield code="0">(DE-588)4161911-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Bewertungstheorie</subfield><subfield code="0">(DE-588)4122918-6</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">Fu, Joseph H. G.</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1061141942</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-0348-0874-3</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</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=027637383&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</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=027637383&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027637383</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="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-0348-0874-3</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-0348-0874-3</subfield><subfield code="l">FRO01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-0348-0874-3</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-0348-0874-3</subfield><subfield code="l">UBA01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-0348-0874-3</subfield><subfield code="l">UBM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-0348-0874-3</subfield><subfield code="l">UBT01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-0348-0874-3</subfield><subfield code="l">UBW01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-0348-0874-3</subfield><subfield code="l">UPA01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV042198443 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:15:06Z |
| institution | BVB |
| isbn | 9783034808736 9783034808743 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027637383 |
| oclc_num | 897395649 |
| open_access_boolean | |
| owner | DE-703 DE-91 DE-BY-TUM DE-739 DE-20 DE-19 DE-BY-UBM DE-634 DE-861 DE-384 DE-83 |
| owner_facet | DE-703 DE-91 DE-BY-TUM DE-739 DE-20 DE-19 DE-BY-UBM DE-634 DE-861 DE-384 DE-83 |
| physical | 1 Online-Ressource |
| psigel | ZDB-2-SMA |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Birkhäuser Springer |
| record_format | marc |
| series2 | Advanced courses in mathematics - CRM Barcelona |
| spelling | Alesker, Semyon 1972- Verfasser (DE-588)106114187X aut Integral geometry and valuations Semyon Alesker ; Joseph H.G. Fu Basel [u.a.] Birkhäuser Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Advanced courses in mathematics - CRM Barcelona Bewertungstheorie (DE-588)4122918-6 gnd rswk-swf Integralgeometrie (DE-588)4161911-0 gnd rswk-swf Electronic book text Integralgeometrie (DE-588)4161911-0 s Bewertungstheorie (DE-588)4122918-6 s 1\p DE-604 Fu, Joseph H. G. Verfasser (DE-588)1061141942 aut https://doi.org/10.1007/978-3-0348-0874-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027637383&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027637383&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Alesker, Semyon 1972- Fu, Joseph H. G. Integral geometry and valuations Bewertungstheorie (DE-588)4122918-6 gnd Integralgeometrie (DE-588)4161911-0 gnd |
| subject_GND | (DE-588)4122918-6 (DE-588)4161911-0 |
| title | Integral geometry and valuations |
| title_auth | Integral geometry and valuations |
| title_exact_search | Integral geometry and valuations |
| title_full | Integral geometry and valuations Semyon Alesker ; Joseph H.G. Fu |
| title_fullStr | Integral geometry and valuations Semyon Alesker ; Joseph H.G. Fu |
| title_full_unstemmed | Integral geometry and valuations Semyon Alesker ; Joseph H.G. Fu |
| title_short | Integral geometry and valuations |
| title_sort | integral geometry and valuations |
| topic | Bewertungstheorie (DE-588)4122918-6 gnd Integralgeometrie (DE-588)4161911-0 gnd |
| topic_facet | Bewertungstheorie Integralgeometrie |
| url | https://doi.org/10.1007/978-3-0348-0874-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027637383&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027637383&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT aleskersemyon integralgeometryandvaluations AT fujosephhg integralgeometryandvaluations |