Name: Introduction to Radon Transforms (Encyclopedia of Mathematics and its Applications) (en Inglés)
Price: 148490.00 CLP
Availability: InStock
Author: Boris Rubin
ISBN: 9780521854597

portada Introduction to Radon Transforms (Encyclopedia of Mathematics and its Applications) (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

Boris Rubin

Año

2015

Idioma

Inglés

N° páginas

596

Encuadernación

Tapa Dura

ISBN13

9780521854597

N° edición

Categorías

Cálculo

Introduction to Radon Transforms (Encyclopedia of Mathematics and its Applications) (en Inglés)

Boris Rubin (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "Introduction to Radon Transforms (Encyclopedia of Mathematics and its Applications) (en Inglés)"

The Radon transform represents a function on a manifold by its integrals over certain submanifolds. Integral transformations of this kind have a wide range of applications in modern analysis, integral and convex geometry, medical imaging, and many other areas. Reconstruction of functions from their Radon transforms requires tools from harmonic analysis and fractional differentiation. This comprehensive introduction contains a thorough exploration of Radon transforms and related operators when the basic manifolds are the real Euclidean space, the unit sphere, and the real hyperbolic space. Radon-like transforms are discussed not only on smooth functions but also in the general context of Lebesgue spaces. Applications, open problems, and recent results are also included. The book will be useful for researchers in integral geometry, harmonic analysis, and related branches of mathematics, including applications. The text contains many examples and detailed proofs, making it accessible to graduate students and advanced undergraduates.