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Hans Bremermann.
\newblock {\em Distributions, Complex Variables, and Fourier Transforms}.
\newblock Ad\-di\-son--Wes\-ley~ Series in Mathematics. Ad\-di\-son--Wes\-ley,
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\bibitem[CJS]{cho-jones-singh93}
Z.~H. Cho, Joie~P. Jones, and Manbir Singh.
\newblock {\em Foundations of medical imaging}.
\newblock John Wiley {\&} Sons, Inc., New York, U.S.A., 1993.
\newblock ISBN 0-471-54573-2.

\bibitem[FFRS]{faridani97:local2}
Adel Faridani, David~V. Finch, Erik~L. Ritman, and Kennan~T. Smith.
\newblock Local tomography {II}.
\newblock {\em SIAM J. Appl. Math.}, 57\penalty0 (4):\penalty0 1095--1127,
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\newblock ISSN 0036-1399.

\bibitem[Fri]{friedlander82:distr}
F.~G. Friedlander.
\newblock {\em Introduction to the theory of distributions}.
\newblock Cambridge University Press, Cambridge, Great Britain, 1982.
\newblock ISBN 0-521-28591-7.

\bibitem[Fro]{frostman}
Otto Frostman.
\newblock {\em Potentiel d'équilibre et capacité des ensembles avec quelques
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\newblock Number~3 in Meddelanden från Lunds Universitets matematiska
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\newblock Thesis.

\bibitem[FRS]{faridani92:local}
Adel Faridani, Erik~L. Ritman, and Kennan~T. Smith.
\newblock Local tomography.
\newblock {\em SIAM J. Appl. Math.}, 52\penalty0 (2):\penalty0 459--484, April
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\newblock ISSN 0036-1399.

\bibitem[FRSex]{faridani92:localexamples}
Adel Faridani, Erik~L. Ritman, and Kennan~T. Smith.
\newblock Examples of local tomography.
\newblock {\em SIAM J. Appl. Math.}, 52\penalty0 (4):\penalty0 1193--1198,
  August 1992.
\newblock ISSN 0036-1399.
\newblock A reorganization of the examples in \cite{faridani92:local}, which
  became disorganized while the article was in press.

\bibitem[HP]{hutson-pym80}
V.~Hutson and J.~S. Pym.
\newblock {\em Applications of Functional Analysis and Operator Theory}.
\newblock Number 146 in Mathematics in science and engineering. Academic Press,
  London, Great Britain, 1980.

\bibitem[Hör]{hormander}
Lars Hörmander.
\newblock {\em The Analysis of Linear Partial Differential Operators I ---
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\newblock Springer-Verlag, Berlin, Germany, second edition, 1990.
\newblock ISBN 3-540-52343-X.

\bibitem[HS]{hewitt-stromberg:real_and_abstract}
Edwin Hewitt and Karl Stromberg.
\newblock {\em Real and Abstract Analysis}.
\newblock Number~25 in Graduate Texts in Mathematics. Springer-Verlag, New
  York, U.S.A., 1965.
\newblock ISBN 0-387-90138-8.

\bibitem[KLM]{kuchment95:local}
Peter Kuchment, Kirk Lancaster, and Lyudmila Mogilevskaya.
\newblock On local tomography.
\newblock {\em Inverse Problems}, 11:\penalty0 571--589, 1995.
\newblock ISSN 0266-5611.

\bibitem[KR1]{katsevich95:jumps}
A.~I. Katsevich and A.~G. Ramm.
\newblock New methods for finding values of the jumps of a function from its
  local tomographic data.
\newblock {\em Inverse Problems}, 11:\penalty0 1005--1023, 1995.
\newblock ISSN 0266-5611.

\bibitem[KR2]{katsevich96:pseudolocal}
Alexander~I. Katsevich and Alexander~G. Ramm.
\newblock Pseudolocal tomography.
\newblock {\em SIAM J. Appl. Math.}, 56\penalty0 (1):\penalty0 167--191,
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\newblock ISSN 0036-1399.

\bibitem[Nat]{natterer86}
F.~Natterer.
\newblock {\em The Mathematics of Computerized Tomography}.
\newblock John Wiley \& Sons, Chichester, U.S.A., and B. G. Teubner, Stuttgart,
  Germany, 1986.
\newblock ISBN 0-471-90959-9, 3-519-02103-X.

\bibitem[Ner]{neri71:singular}
Umberto Neri.
\newblock {\em Singular Integrals}.
\newblock Number 200 in Lecture Notes in Mathematics. Springer-Verlag, Berlin,
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\newblock ISBN 3-540-05502-9.

\bibitem[Pee1]{peetre59}
Jaak Peetre.
\newblock Une caractérisation abstraite des opérateurs différentiels.
\newblock {\em Mathematica scandinavica}, 7\penalty0 (1):\penalty0 211--218,
  1959.
\newblock ISSN 0025-5521.
\newblock Corrected in \cite{peetre60}.

\bibitem[Pee2]{peetre60}
Jaak Peetre.
\newblock Réctification a l'article \guillemotleft\ une caractérisation
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\newblock {\em Mathematica scandinavica}, 8\penalty0 (1):\penalty0 116--120,
  1960.
\newblock ISSN 0025-5521.

\bibitem[Rad]{radon17}
Johann Radon.
\newblock Über die {B}e\-stimmung von {F}unk\-tionen durch ihre
  {I}ntegral\-werte längs ge\-wisser {M}annig\-faltig\-keiten.
\newblock {\em Be\-rich\-te über die Ver\-hand\-lungen der Säch\-sischen
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\bibitem[Rau]{rauch91:pde}
Jeffrey Rauch.
\newblock {\em Partial Differential Equations}.
\newblock Number 128 in Gratuate Texts in Mathematics. Springer-Verlag, New
  York, U.S.A., 1991.
\newblock ISBN 0-387-97472-5.

\bibitem[RK]{ramm96:radon_and_lt}
A.~G. Ramm and A.~I. Katsevich.
\newblock {\em The radon transform and local tomography}.
\newblock CRC Press, Boca Raton, U.S.A., 1996.
\newblock ISBN 0-8493-9492-9.

\bibitem[Ru1]{rudin1}
Walter Rudin.
\newblock {\em Principles of Mathematical Analysis}.
\newblock McGraw-Hill Kogakusha, Ltd., Tokyo, Japan, third edition,
  international student edition, 1976.
\newblock ISBN 0-07-054235-X.

\bibitem[Ru2]{rudin2}
Walter Rudin.
\newblock {\em Real and Complex Analysis}.
\newblock McGraw-Hill Book Company, Singapore, third edition, international
  edition, 1987.
\newblock ISBN 0-07-054234-1.

\bibitem[Ru3]{rudin3}
Walter Rudin.
\newblock {\em Functional Analysis}.
\newblock Tata McGraw-Hill Publishing Company Ltd., New Delhi, India, {TMH}
  edition, 1974.
\newblock ISBN 0-07-099558-3.

\bibitem[SK]{smith85:mathfound}
Kennan~T. Smith and F.~Keinert.
\newblock Mathematical foundations of computed tomography.
\newblock {\em Applied Optics}, 24\penalty0 (23):\penalty0 3950--3957,
  December~1, 1985.
\newblock ISSN 0003-6935.

\bibitem[Ste]{stein70:sing}
Elias~M. Stein.
\newblock {\em Singular Integrals and Differentiability Properties of
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\newblock Number~30 in Princeton Mathematical Series. Princeton University
  Press, Princeton, U.S.A., 1970.

\bibitem[Zie]{ziemer89:weakly_diff}
William~P. Ziemer.
\newblock {\em Weakly Differentiable Functions}.
\newblock Number 120 in Graduate Texts in Mathematics. Springer-Verlag, New
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\newblock ISBN 0-387-97017-7.

\end{thebibliography}
