{"id":{"repo_id":"freiburg-diss","oai_identifier":"oai:freidok.uni-freiburg.de:1315"},"canonical_url":"https://search.dev.ndltd.org/etd/freiburg-diss/oai:freidok.uni-freiburg.de:1315","repository":{"repo_id":"freiburg-diss","name":"University of Freiburg","base_url":"https://freidok.uni-freiburg.de/oai/oai2.php"},"display":{"title":"Tensorwertige additive Funktionale auf konvexen Körpern","abstract":"Die Arbeit stellt eine Untersuchung von Funktionalen auf konvexen Körpern dar, die tensorwertig, stetig, additiv und bewegungskovariant sind. Es werden gemischte tensorielle Momente hergeleitet, Minkowski-Tensoren betrachtet, Integralgeometrische Formeln hergeleitet und eine Basis des Vektorraumes der tensorwertigen stetigen additiven bewegungskovarianten Funktionale bestimmt.","abstract_html":"Die Arbeit stellt eine Untersuchung von Funktionalen auf konvexen Körpern dar, die tensorwertig, stetig, additiv und bewegungskovariant sind. Es werden gemischte tensorielle Momente hergeleitet, Minkowski-Tensoren betrachtet, Integralgeometrische Formeln hergeleitet und eine Basis des Vektorraumes der tensorwertigen stetigen additiven bewegungskovarianten Funktionale bestimmt.","abstract_has_math":false,"creators":["Schuster, Ralph"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Schneider, Rolf"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":null,"date_issued":"","date_published":null,"updated_at":"2026-07-24T02:22:10Z","subjects":["Konvexgeometrie","Integralgeometrie","Körper","Konvex","convex","geometry","bodies","integral geometry","valuations"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://freidok.uni-freiburg.de/data/1315","outbound_label":"Repository record","outbound_source":"source_url"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Schneider, Rolf"]},{"key":"dc:creator","label":"Author","values":["Schuster, Ralph"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:type","label":"Dc Type","values":["DoctoralThesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Konvexgeometrie","Integralgeometrie","Körper","Konvex","convex","geometry","bodies","integral geometry","valuations"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Die Arbeit stellt eine Untersuchung von Funktionalen auf konvexen Körpern dar, die tensorwertig, stetig, additiv und bewegungskovariant sind. Es werden gemischte tensorielle Momente hergeleitet, Minkowski-Tensoren betrachtet, Integralgeometrische Formeln hergeleitet und eine Basis des Vektorraumes der tensorwertigen stetigen additiven bewegungskovarianten Funktionale bestimmt.","We construct mixed tensorial moments and investigate Minkowski-Tensors. Crofton-type fomulae for these are given explicitely. Therefore, kinematic formulae can be constructed easily. We will investigate linear relations between Minkowski-Tensors and find a basis for the vector space of tensorial valuations that are motion covariant and continuous."]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Tensorwertige additive Funktionale auf konvexen Körpern","Tensorvalued valuations on convex bodies"]}]}],"canonical_facts":{"dc:contributor":["Schneider, Rolf"],"dc:creator":["Schuster, Ralph"],"dc:description.abstract":["Die Arbeit stellt eine Untersuchung von Funktionalen auf konvexen Körpern dar, die tensorwertig, stetig, additiv und bewegungskovariant sind. Es werden gemischte tensorielle Momente hergeleitet, Minkowski-Tensoren betrachtet, Integralgeometrische Formeln hergeleitet und eine Basis des Vektorraumes der tensorwertigen stetigen additiven bewegungskovarianten Funktionale bestimmt.","We construct mixed tensorial moments and investigate Minkowski-Tensors. Crofton-type fomulae for these are given explicitely. Therefore, kinematic formulae can be constructed easily. We will investigate linear relations between Minkowski-Tensors and find a basis for the vector space of tensorial valuations that are motion covariant and continuous."],"dc:format.medium":["application/pdf"],"dc:subject":["Konvexgeometrie","Integralgeometrie","Körper","Konvex","convex","geometry","bodies","integral geometry","valuations"],"dc:title":["Tensorwertige additive Funktionale auf konvexen Körpern","Tensorvalued valuations on convex bodies"],"dc:type":["DoctoralThesis"]},"updated_at":"2026-07-24T02:22:10Z"}