By Carlos A. Berenstein, Peter F. Ebenfelt, Simon Gindikin, Visit Amazon's Sigurdur Helgason Page, search results, Learn about Author Central, Sigurdur Helgason, , Alexander Tumanov, Enrico Casadio Tarabusi, Massimo A. Picardello, Giuseppe Zampieri

This ebook comprises the notes of 5 brief classes introduced on the "Centro Internazionale Matematico Estivo" consultation "Integral Geometry, Radon Transforms and complicated research" held in Venice (Italy) in June 1996: 3 of them take care of quite a few points of vital geometry, with a standard emphasis on numerous sorts of Radon transforms, their houses and functions, the opposite proportion a tension on CR manifolds and similar difficulties. All lectures are obtainable to a large viewers, and supply self-contained introductions and brief surveys at the topics, in addition to precise expositions of chosen effects.

**Read or Download Integral Geometry, Radon Transforms and Complex Analysis: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) ... 3-12, 1996 PDF**

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N. ,n. 6) are algebraic functions of (z, w, X, T) when M is real algebraic. 7. 8) -"-r . . OZ (z,w) V'~3T'~2Ef'~h(X,r), O W "r V T. s gZ(X,T) .... ,m, ]a1[,[/31[ _< k0, ]a2[,I/32] _< ]7"], ]a3[,[Z31 < [7'1, and the A~ are holomorphic functions of their arguments. Moreover, if M' is real algebraic, then the functions A~ are algebraic. 7. 9) - ' (f,- f, g) = F j ( s Qxj s we use here the convention that f = f ( z , w ) , f = f(X,v), etc. 4) and so on. ), where 1/31,171 _< I~1. Since H is a biholomorphism at P0, it follows that M ' is k0-nondegenerate at p~.

Santosa, An image enhancement technique for electrical impedance tomography, Inverse Problems 10 (1994), 317-334. [FRK] A. Faridani, E. Ritman and K. T. Smith, Local tomography, SIAM J. Applied Math. 52 (1992), 1193-1198. [FLBW] F. Rashid-Farrokhi, K. J. R. Liu, C. A. Berenstein and D. Walnut, Waveletbased multiresolution local tomography, ISR-TR 95-73, see also ICIP-95, Washington, DC. [FLB] F. Rashid-Farrokhi, K. J. R. Liu and C. A. Berenstein, Local tomography in fan-beam geometry using wavelets, ICIP-96, Laussane.

Friedman and M. Vogelius, Determining cracks by boundary measurements, Indiana U. Math. J. 38 (1989), 527- 556. [GG] I. M. Gelfand and S. Gindikin, editors, "Mathematical problems of tomography," AMS, 1990. [GM] S. Gindikin and P. Michor, editors, "75 years of Radon transform," International Press, 1994. [GIN] D. Gisser, D. Isaacson, and J. Newell, Current topics in impedance imaging, Clin. Phys. Physiol. 8 (1987), 216-241. [GS] V. Guillemin and S. Sternberg, "Geometric asymptotics," AMS, 1977.