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1998 | 70 | 1 | 195-213
Tytuł artykułu

Extension of separately analytic functions and applications to range characterization of the exponential Radon transform

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We consider the problem of characterizing the range of the exponential Radon transform. The proof uses extension properties of separately analytic functions, and we prove a new theorem about extending such functions.
Rocznik
Tom
70
Numer
1
Strony
195-213
Opis fizyczny
Daty
wydano
1998
otrzymano
1997-11-29
poprawiono
1998-08-17
Twórcy
autor
  • Department of Mathematics, Stockholm University, S-106 91 Stockholm, Sweden
Bibliografia
  • [1] V. Aguilar, L. Ehrenpreis and P. Kuchment, Range conditions for the exponential Radon transform, J. Anal. Math. 68 (1996), 1-13.
  • [2] J. Becker, Continuing analytic sets across $ℝ^n$, Math. Ann. 195 (1973), 103-106.
  • [3] S. Bellini, M. Piarentini, C. Cafforio and F. Rocca, Compensation of tissue absorption in emission tomography, IEEE Trans. Acoust. Speech Signal Process. 27 (1979), 213-218.
  • [4] C. Berenstein and R. Gay, Complex Variables. An Introduction, Grad. Texts in Math. 125, Springer, New York, 1991.
  • [5] P. Kuchment and S. L'vin, Paley-Wiener theorem for exponential Radon transform, Acta Appl. Math. 18 (1990), 251-260.
  • [6] S. L'vin, Data correction and restoration in emission tomography, in: AMS-SIAM Summer Seminar on the Mathematics of Tomography, Impedance Imaging, and Integral Geometry (June 1993), Lectures in Appl. Math. 30, Amer. Math. Soc., 1994, 149-155.
  • [7] F. Natterer, The Mathematics of Computerized Tomography, Wiley, New York, 1986.
  • [8] O. Öktem, Comparing range characterizations of the exponential Radon transform, Res. Rep. Math. 17, Stockholm University, 1996.
  • [9] O. Öktem, Extension of separately analytic functions and applications to range characterization of the exponential Radon transform, Res. Rep. Math. 18, Stockholm University, 1996.
  • [10] I. Ponomaryov, Correction of emission tomography data: effects of detector displacement and non-constant sensitivity, Inverse Problems 10 (1995), 1031-1038.
  • [] J. Siciak, Separately analytic functions and envelopes of holomorphy of some lower dimensional subsets of $ℂ^n$, Ann. Polon. Math. 22 (1969), 145-171.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-apmv70z1p195bwm
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