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Integral geometry of tensor fields / / V.A. Sharafutdinov



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Autore: Sharafutdinov V. A (Vladimir Altafovich) Visualizza persona
Titolo: Integral geometry of tensor fields / / V.A. Sharafutdinov Visualizza cluster
Pubblicazione: Utrecht, the Netherlands, : VSP, 1994
Edizione: Reprint 2010
Descrizione fisica: 1 online resource (276 p.)
Disciplina: 516.362
Soggetto topico: Integral geometry
Calculus of tensors
Geometry, Differential
Classificazione: SK 370
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references (p. 259-268) and index.
Nota di contenuto: Frontmatter -- 1 Introduction -- 2 The ray transform of symmetric tensor fields on Euclidean space -- 3 Some questions of tensor analysis -- 4 The ray transform on a Riemannian manifold -- 5 The transverse ray transform -- 6 The truncated transverse ray transform -- 7 The mixed ray transform -- 8 The exponential ray transform -- Bibliography -- Index
Sommario/riassunto: Integral geometry can be defined as determining some function or a more general quantity, which is defined on a manifold, given its integrals over submanifolds or a prescribed class. In this book, only integral geometry problems are considered for which the submanifolds are one-dimensional. The book deals with integral geometry of symmetric tensor fields. This section of integral geometry can be considered as the mathematical basis for tomography or anisotropic media whose interaction with sounding radiation depends essentially on the direction in which the latter propagates. The main mathemat
Titolo autorizzato: Integral geometry of tensor fields  Visualizza cluster
ISBN: 3-11-090009-2
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910821944803321
Lo trovi qui: Univ. Federico II
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Serie: Inverse and Ill-Posed Problems Series