# American Institute of Mathematical Sciences

November  2010, 4(4): 571-577. doi: 10.3934/ipi.2010.4.571

## Mathematical reminiscences

 1 Department of Mathematics, Stockholm University, SE-10691 Stockholm, Sweden

Published  September 2010

N/A
Citation: Jan Boman. Mathematical reminiscences. Inverse Problems & Imaging, 2010, 4 (4) : 571-577. doi: 10.3934/ipi.2010.4.571
##### References:
 [1] J. Boman, On the propagation of analyticity of solutions of differential equations with constant coefficients,, Ark. Mat., 5 (1964), 271. doi: doi:10.1007/BF02591127. Google Scholar [2] J. Boman, On the intersection of classes of infinitely differentiable functions,, Ark. Mat., 5 (1964), 301. doi: doi:10.1007/BF02591130. Google Scholar [3] J. Boman, Partial regularity of mappings between Euclidean spaces,, Acta Math., 119 (1967), 1. doi: doi:10.1007/BF02392077. Google Scholar [4] J. Boman, Differentiability of a function and of its compositions with functions of one variable,, Math. Scand., 20 (1967), 249. Google Scholar [5] J. Boman, (joint work with H. S. Shapiro), Comparison theorems for a generalized modulus of continuity,, Bull. Amer. Math. Soc., 75 (1969), 1266. doi: doi:10.1090/S0002-9904-1969-12387-6. Google Scholar [6] J. Boman, (joint work with H. S. Shapiro), Comparison theorems for a generalized modulus of continuity,, Ark. Mat., 9 (1971), 91. doi: doi:10.1007/BF02383639. Google Scholar [7] J. Boman, Saturation problems and distribution theory,, Appendix I in, (1971), 249. Google Scholar [8] J. Boman, Equivalence of generalized moduli of continuity,, Ark. Mat., 18 (1980), 73. doi: doi:10.1007/BF02384682. Google Scholar [9] J. Boman, On the closure of spaces of sums of ridge functions and the range of the X-ray transform,, Ann. Inst. Fourier (Grenoble), 34 (1984), 207. Google Scholar [10] J. Boman, An example of non-uniqueness for a generalized Radon transform,, J. d'Anal. Math., 61 (1993), 395. doi: doi:10.1007/BF02788850. Google Scholar [11] J. Boman, (joint work with E. T. Quinto) Support theorems for real-analytic Radon transforms,, Duke Math. J., 55 (1987), 943. doi: doi:10.1215/S0012-7094-87-05547-5. Google Scholar [12] J. Boman, The sum of two plane convex $C^{\infty}$ sets is not always $C^5$,, Math. Scand., 66 (1990), 216. Google Scholar [13] J. Boman, Smoothness of sums of convex sets with real analytic boundaries,, Math. Scand., 66 (1990), 225. Google Scholar [14] J. Boman, (joint work with E. T. Quinto), Support theorems for real-analytic Radon transforms on line complexes in three-space,, Trans. Amer. Math. Soc., 335 (1993), 877. doi: doi:10.2307/2154410. Google Scholar [15] J. Boman, Helgason's support theorem for Radon transforms - a new proof and a generalization,, Lecture Notes in Mathematics no. 1497 (1989), (1989), 1. Google Scholar [16] J. Boman, A local vanishing theorem for distributions,, C. R. Acad. Sci. Paris, 315 (1992), 1231. Google Scholar [17] J. Boman, Holmgren's uniqueness theorem and support theorems for real analytic Radon transforms,, Contemp. Math., 140 (1992), 23. Google Scholar [18] J. Boman, Microlocal quasianalyticity for distributions and ultradistributions,, Publ. RIMS (Kyoto), 31 (1995), 1079. doi: (MR1382568) doi:10.2977/prims/1195163598. Google Scholar [19] J. Boman, (joint work with Svante Linusson), Examples of non-uniqueness for the combinatorial Radon transform modulo the symmetric group,, Math. Scand., 78 (1996), 207. Google Scholar [20] J. Boman, Uniqueness and non-uniqueness for microanalytic continuation of hyperfunctions,, Contemp. Math., 251 (2000), 61. Google Scholar [21] J. Boman, (joint work with Lars Hörmander), A Payley-Wiener theorem for the analytic wave front set,, Asian J. Math., 3 (1999), 757. Google Scholar [22] J. Boman, (joint work with Jan-Olov Strömberg), Novikov's inversion formula for the attenuated Radon transform-A new approach,, J. Geom. Anal., 14 (2004), 185. Google Scholar [23] J. Boman, (joint work with Filip Lindskog), Support theorems for the Radon transform and Cramér-Wold theorems,, J. Theor. Probab., 22 (2008), 683. doi: doi:10.1007/s10959-008-0151-0. Google Scholar [24] J. Boman, The mathematics of tomography. On a mathematical theory with many new applications (Swedish),, Normat, 56 (2008), 177. Google Scholar [25] J. Boman, Unique continuation of microlocally analytic distributions and injectivity theorems for the ray transform,, Inverse Probl. Imaging, (). Google Scholar [26] J. Boman, (joint work with Dieudonné Agbor), On the modulus of continuity of mappings between Euclidean spaces,, to appear in Math. Scand., (). Google Scholar [27] J. Boman, A local uniqueness theorem for a weighted Radon transform,, Inverse Probl. Imaging, (). Google Scholar [28] J. Boman, Flatness of distributions vanishing on infinitely many hyperplanes,, C. R. Acad. Sci. Paris, 347 (2009), 1351. Google Scholar [29] L. Hörmander, "The Analysis of Linear Partial Differential Operators,'' Vol. 1,, Springer-Verlag, (1983). Google Scholar [30] R. G. Novikov, An inversion formula for the attenuated X-ray transform,, Ark. Mat., 40 (2002), 145. doi: doi:10.1007/BF02384507. Google Scholar [31] S. Gindikin, A Remark on the weighted Radon transform on the plane,, J. Inverse Probl. Imaging, (). Google Scholar [32] H. S. Shapiro, A Tauberian theorem related to approximation theory,, Acta Math., 120 (1968), 279. doi: doi:10.1007/BF02394612. Google Scholar

show all references

##### References:
 [1] J. Boman, On the propagation of analyticity of solutions of differential equations with constant coefficients,, Ark. Mat., 5 (1964), 271. doi: doi:10.1007/BF02591127. Google Scholar [2] J. Boman, On the intersection of classes of infinitely differentiable functions,, Ark. Mat., 5 (1964), 301. doi: doi:10.1007/BF02591130. Google Scholar [3] J. Boman, Partial regularity of mappings between Euclidean spaces,, Acta Math., 119 (1967), 1. doi: doi:10.1007/BF02392077. Google Scholar [4] J. Boman, Differentiability of a function and of its compositions with functions of one variable,, Math. Scand., 20 (1967), 249. Google Scholar [5] J. Boman, (joint work with H. S. Shapiro), Comparison theorems for a generalized modulus of continuity,, Bull. Amer. Math. Soc., 75 (1969), 1266. doi: doi:10.1090/S0002-9904-1969-12387-6. Google Scholar [6] J. Boman, (joint work with H. S. Shapiro), Comparison theorems for a generalized modulus of continuity,, Ark. Mat., 9 (1971), 91. doi: doi:10.1007/BF02383639. Google Scholar [7] J. Boman, Saturation problems and distribution theory,, Appendix I in, (1971), 249. Google Scholar [8] J. Boman, Equivalence of generalized moduli of continuity,, Ark. Mat., 18 (1980), 73. doi: doi:10.1007/BF02384682. Google Scholar [9] J. Boman, On the closure of spaces of sums of ridge functions and the range of the X-ray transform,, Ann. Inst. Fourier (Grenoble), 34 (1984), 207. Google Scholar [10] J. Boman, An example of non-uniqueness for a generalized Radon transform,, J. d'Anal. Math., 61 (1993), 395. doi: doi:10.1007/BF02788850. Google Scholar [11] J. Boman, (joint work with E. T. Quinto) Support theorems for real-analytic Radon transforms,, Duke Math. J., 55 (1987), 943. doi: doi:10.1215/S0012-7094-87-05547-5. Google Scholar [12] J. Boman, The sum of two plane convex $C^{\infty}$ sets is not always $C^5$,, Math. Scand., 66 (1990), 216. Google Scholar [13] J. Boman, Smoothness of sums of convex sets with real analytic boundaries,, Math. Scand., 66 (1990), 225. Google Scholar [14] J. Boman, (joint work with E. T. Quinto), Support theorems for real-analytic Radon transforms on line complexes in three-space,, Trans. Amer. Math. Soc., 335 (1993), 877. doi: doi:10.2307/2154410. Google Scholar [15] J. Boman, Helgason's support theorem for Radon transforms - a new proof and a generalization,, Lecture Notes in Mathematics no. 1497 (1989), (1989), 1. Google Scholar [16] J. Boman, A local vanishing theorem for distributions,, C. R. Acad. Sci. Paris, 315 (1992), 1231. Google Scholar [17] J. Boman, Holmgren's uniqueness theorem and support theorems for real analytic Radon transforms,, Contemp. Math., 140 (1992), 23. Google Scholar [18] J. Boman, Microlocal quasianalyticity for distributions and ultradistributions,, Publ. RIMS (Kyoto), 31 (1995), 1079. doi: (MR1382568) doi:10.2977/prims/1195163598. Google Scholar [19] J. Boman, (joint work with Svante Linusson), Examples of non-uniqueness for the combinatorial Radon transform modulo the symmetric group,, Math. Scand., 78 (1996), 207. Google Scholar [20] J. Boman, Uniqueness and non-uniqueness for microanalytic continuation of hyperfunctions,, Contemp. Math., 251 (2000), 61. Google Scholar [21] J. Boman, (joint work with Lars Hörmander), A Payley-Wiener theorem for the analytic wave front set,, Asian J. Math., 3 (1999), 757. Google Scholar [22] J. Boman, (joint work with Jan-Olov Strömberg), Novikov's inversion formula for the attenuated Radon transform-A new approach,, J. Geom. Anal., 14 (2004), 185. Google Scholar [23] J. Boman, (joint work with Filip Lindskog), Support theorems for the Radon transform and Cramér-Wold theorems,, J. Theor. Probab., 22 (2008), 683. doi: doi:10.1007/s10959-008-0151-0. Google Scholar [24] J. Boman, The mathematics of tomography. On a mathematical theory with many new applications (Swedish),, Normat, 56 (2008), 177. Google Scholar [25] J. Boman, Unique continuation of microlocally analytic distributions and injectivity theorems for the ray transform,, Inverse Probl. Imaging, (). Google Scholar [26] J. Boman, (joint work with Dieudonné Agbor), On the modulus of continuity of mappings between Euclidean spaces,, to appear in Math. Scand., (). Google Scholar [27] J. Boman, A local uniqueness theorem for a weighted Radon transform,, Inverse Probl. Imaging, (). Google Scholar [28] J. Boman, Flatness of distributions vanishing on infinitely many hyperplanes,, C. R. Acad. Sci. Paris, 347 (2009), 1351. Google Scholar [29] L. Hörmander, "The Analysis of Linear Partial Differential Operators,'' Vol. 1,, Springer-Verlag, (1983). Google Scholar [30] R. G. Novikov, An inversion formula for the attenuated X-ray transform,, Ark. Mat., 40 (2002), 145. doi: doi:10.1007/BF02384507. Google Scholar [31] S. Gindikin, A Remark on the weighted Radon transform on the plane,, J. Inverse Probl. Imaging, (). Google Scholar [32] H. S. Shapiro, A Tauberian theorem related to approximation theory,, Acta Math., 120 (1968), 279. doi: doi:10.1007/BF02394612. Google Scholar
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