• Articles published or accepted for publication:
References
[1] Chr. Ya. Christov, T. D. Todorov, Asymptotic Numbers: Algebraic Operations with Them, In Serdica, Bulgaricae Mathematicae Publicationes,
Vol.2, 1974, p. 87–102.
[2] Todor D. Todorov, Asymptotic Numbers: I. Algebraic Properties, In
Bulg. J. Phys., 7 (1981), 5, p. 450–468.
[3] Todor D. Todorov, Asymptotic Numbers: II. Order Relation and Interval
Topology, In Bulg. J. Phys., 7 (1981), 6, p. 547–562.
[4] T. D. Todorov, Quasi-Extended Asymptotic Functions, In Bulg. J. Phys.,
8 (1981), p. 313–328.
[5] T. D. Todorov, Asymptotic Functions as Kernels of Schwartz Distributions, In Bulg. J. Phys., Vol. 12 (1981), 5, p. 451–464.
[6] T. D. Todorov, The Products δ 2 (x), δ(x) x−n , H(x) x−n in the Class of
the Asymptotic Functions, In Bulg. J. Phys., Vol.12 (1981), 5, p. 465–
480.
[7] T.D. Todorov, Asymptotic Functions and the Problem of Multiplication
of Schwartz Distributions, In Bulg. J. Phys., Vol. 8 (1982), 2, p. 109–120.
[8] B. Fisher and T. D. Todorov, Operations with Distribution Vectors, In
Demonstratio Mathematica, Vol. XX, No 3-4, 1987, p. 401–412.
[9] S. Salbany, T. Todorov, Alexander’s Subbase Lemma, In Proc. Amer.
Math. Soc., Vol. 105, Number 1, Jan. 1989.
[10] Todor Todorov, A Nonstandard Delta Function, In Proc. Amer. Math.
Soc., Vol. 110, Number 4, 1990, p. 1143–1144.
[11] B. Fisher and T. Todorov, A Commutative Product with Distribution
Vectors, Journal of Mathematical and Physical Sciences, Vol. 25, No 2,
April 1991, p. 138–151.
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[12] Todor Todorov, Kernels of Schwartz Distributions, In Proc. Amer.
Math. Soc., Vol. 114, No 3, March 1992, p. 817–819.
[13] S. Salbany and T. Todorov, Nonstandard and Standard Compactifications of Ordered Topological Spaces, In Topology and its Applications,
Vol. 47 (1992), p. 35–52.
[14] S. Salbany and T. Todorov, Monads and Realcompactness, In Topology
and its Applications, Vol. 56 (1994), p. 99–104.
[15] Todor Todorov, An Existence of Solutions for Linear PDE with C ∞ Coefficients in an Algebra of Generalized Functions, in Transactions of
the American Mathematical Society, Vol. 348, 2, Feb. 1996, p. 673–689.
[16] M. Oberguggenberger and T. Todorov, An Embedding of Schwartz
Distributions in the Algebra of Asymptotic Functions, International J.
Math. & Math. Sci., Vol. 21, No. 3 (1998), p. 417–428.
[17] S. Salbany and T. Todorov, Nonstandard and Standard Compactifications, Journal of Symbolic Logic, 65, 4 (2000), p. 1836-1840,
arXiv:math.GN/0601724.
[18] Todor D. Todorov, Back to Classics: Teaching Limits through Infinitesimals, International Journal of Mathematical Education in Science and
Technology, 2001, vol. 32, no. 1, p. 1-20.
[19] Todor D. Todorov, Radius of Convergence of Power Series, International
Journal of Mathematical Education in Science and Technology, Vol. 34,
Number 2, March-April, 2003 (p. 277-280).
[20] Todor D. Todorov, Existence and uniqueness of v-asymptotic expantions
and Colombeau’s generalized numbers, Journal of Mathematical Analysis
and Applications, Volume 312, Issue 1, 1 December, 2005, p. 261-279,
arXiv:math.CA/0601720.
[21] Ray Cavalcante and Todor D. Todorov, A Lost Theorem: Definite Integrals In Asymptotic Setting, to appear in The American Mathematical
Monthly.
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• Aricles published in conference proceedings:
[22] T. D. Todorov, Application of Non-Standard Hilbert Space to Quantum
Mechanics, In Proceedings of the International Conference on Complex
Analysis and Applications, Varna, May 5-11, 1985, Bulgarian Academy
of Sciences Publ., 1986, p. 689–704.
[23] T.D. Todorov, Colombeau’s new generalized functions and non-standard
analysis, In: B. Stankovic, E. Pap, S. Pilipovic, V.S. Vladimirov (editors), “Generalized Functions, Convergence Structures and their Applications”, Plenum Press, New York (1988), p. 327–339.
[24] Todor Todorov, An Existence Result for a Class of Partial Differential Equations with Smooth Coefficients, In S. Albeverio, W.A.J. Luxemburg, M.P.H. Wolff (Eds.), “Advances in Analysis, Probability and
Mathematical Physics; Contributions to Nonstandard Analysis”, Kluwer
Acad. Publ., Dordrecht, Vol. 314, 1995, p. 107–121.
[25] T. Todorov, Pointwise Values and Fundamental Theorem in the Algebra
of Asymptotic Functions, in Non-Linear Theory of Generalized Functions (Eds: M. Grosser, Günther Hörmann, M. Kunzinger and M. Oberguggenberger), Chapman & Hall/CRC Research Notes in Mathematics,
401, 1999, p. 369-383, arXiv:math.FA/0601723.
[26] Todor Todorov and Robert Wolf, Hahn Field Representation of A.
Robinson’s Asymptotic Numbers, in Nonlinear Algebraic Analysis and
Applications, Proceedings of the ICGF 2000 (Edited by A. Delcroix, M.
Hasler, J.-A. Marti, V. Valmorin), 2004 Cambridge Scientific Publishers,
p. 357-374, ArXiv:math.AC/0601722.
[27] Angel Popov and Todor D. Todorov, Exponentiation of 2 × 2 and 3 × 3
Matrices Without Canonization, Proceedings of the Thirty Fifth Spring
Conference of the Union of Bulgarian Mathematicians, Borovets, April
5-8, 2006.
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