000			03235nam a22004935i 4500
003			DE-He213
005			20191011040315.0
007			cr nn 008mamaa
008			101029s2011 xxu| s |||| 0|eng d
020	6	4	_a9781441960559 _9978-1-4419-6055-9
024	8	7	_a10.1007/978-1-4419-6055-9 _2doi
050	8	4	_aQA641-670
072	8	7	_aPBMP _2bicssc
072	8	7	_aMAT012030 _2bisacsh
082			_a516.36 _223
100	8	1	_aHelgason, Sigurdur. _eauthor. _961755
245	9	7	_aIntegral Geometry and Radon Transforms _h[electronic resource] / _cby Sigurdur Helgason.
001			000052774
300	6	4	_aXIII, 301 p. _bonline resource.
505	8	0	_aThe 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.
520	6	4	_aIn this text, integral geometry deals with Radons problem of representing a function on a manifold in terms of its integrals over certain submanifoldshence the term the Radon transform. Examples and far-reaching generalizations lead to fundamental problems such as: (i) injectivity, (ii) inversion formulas, (iii) support questions, (iv) applications (e.g., to tomography, partial differential equations and group representations). For the case of the plane, the inversion theorem and the support theorem have had major applications in medicine through tomography and CAT scanning. While containing some recent research, the book is aimed at beginning graduate students for classroom use or self-study. A number of exercises point to further results with documentation. From the reviews: ǣIntegral Geometry is a fascinating area, where numerous branches of mathematics meet together. The contents of the book is concentrated around the duality and double fibration, which is realized through the masterful treatment of a variety of examples. The book is written by an expert, who has made fundamental contributions to the area.ǥ Boris Rubin, Louisiana State University
650	8	0	_aMathematics. _98571
650	8	0	_aTopological Groups. _99529
650	8	0	_aGlobal analysis. _917903
650	8	0	_aIntegral Transforms. _912003
650	8	0	_aGlobal differential geometry. _99530
650			_aMathematics. _98571
650			_aDifferential Geometry. _99532
650			_aIntegral Transforms, Operational Calculus. _912005
650			_aGlobal Analysis and Analysis on Manifolds. _917904
650			_aTopological Groups, Lie Groups. _99531
710	8	2	_aSpringerLink (Online service) _961756
773	8	0	_tSpringer eBooks
776			_iPrinted edition: _z9781441960542
856			_uhttp://dx.doi.org/10.1007/978-1-4419-6055-9 _zde clik aquí para ver el libro electrónico
264	8	1	_aNew York, NY : _bSpringer New York, _c2011.
336	6	4	_atext _btxt _2rdacontent
337	6	4	_acomputer _bc _2rdamedia
338	6	4	_aonline resource _bcr _2rdacarrier
347	6	4	_atext file _bPDF _2rda
516	6	4	_aZDB-2-SMA
999			_c52504 _d52504
942			_c05