Holdings: Integral geometry and valuations

Integral geometry and valuations:

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Bibliographic Details
Main Authors:	Alesker, Semyon 1972- (Author), Fu, Joseph H. G. (Author)
Format:	Electronic eBook
Language:	English
Published:	Basel [u.a.] Birkhäuser Springer 2014
Series:	Advanced courses in mathematics - CRM Barcelona
Subjects:	Bewertungstheorie Integralgeometrie Electronic book text
Online Access:	BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource
ISBN:	9783034808736 9783034808743
DOI:	10.1007/978-3-0348-0874-3

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Record in the Search Index

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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.
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author	Alesker, Semyon 1972- Fu, Joseph H. G.
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dewey-ones	516 - Geometry
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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

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