Integral Geometry and Radon Transforms

• Κύριος συγγραφέας: Helgason, Sigurdur (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2011.
• Θέματα: Mathematics.; Topological groups.; Lie groups.; Global analysis (Mathematics).; Manifolds (Mathematics).; Integral transforms.; Operational calculus.; Differential geometry.; Differential Geometry.; Integral Transforms, Operational Calculus.; Global Analysis and Analysis on Manifolds.; Topological Groups, Lie Groups.

In this text, integral geometry deals with Radon’s problem of representing a function on a manifold in terms of its integrals over certain submanifolds—hence the term the Radon transform. Examples and far-reaching generalizations lead to fundamental problems such as: (i) injectivity, (ii) inversion...

Πίνακας περιεχομένων:

• The Radon Transformon Rn
• A Duality in Integral Geometry
• The Radon Transform on Two-Point Homogeneous Spaces
• The X-Ray Transform on a Symmetric Space
• Orbital Integrals
• The Mean-Value Operator
• Fourier Transforms and Distribution: A Rapid Course
• Lie Transformation Groups and Differential Operators
• Bibliography
• Notational Conventions
• Index.