Edit Profile (opens in new tab) Todorov, Todor Dimitrov Co-Author Distance Author ID: todorov.todor-dimitrov Published as: Todorov, Todor D.; Todorov, T. D.; Todorov, Todor; Todorov, T. more...less Homepage: https://math.calpoly.edu/todor-todorov External Links: MGP Documents Indexed: 41 Publications since 1973, including 9 Additional arXiv Preprints Reviewing Activity: 43 Reviews Co-Authors: 7 Co-Authors with 10 Joint Publications 186 Co-Co-Authors all top 5 Co-Authors 25 single-authored 3 Hall, James Forsythe 2 Christov, Christo Yankov 2 Fisher, Brian 2 Salbany, Sergio 1 Cavalcante, Ray 1 Oberguggenberger, Michael B. 1 Salbany, Sergo 1 Vernaeve, Hans all top 5 Serials 6 Bulgarian Journal of Physics 3 Proceedings of the American Mathematical Society 3 Integral Transforms and Special Functions 2 Topology and its Applications 1 American Mathematical Monthly 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical and Physical Sciences 1 Demonstratio Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 The Journal of Symbolic Logic 1 Transactions of the American Mathematical Society 1 Serdica 1 Novi Sad Journal of Mathematics 1 Logic and Analysis 1 Journal of Logic and Analysis 1 São Paulo Journal of Mathematical Sciences all top 5 Fields 26 Functional analysis (46-XX) 20 Mathematical logic and foundations (03-XX) 9 Field theory and polynomials (12-XX) 9 Real functions (26-XX) 6 General topology (54-XX) 4 Partial differential equations (35-XX) 3 Integral transforms, operational calculus (44-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Number theory (11-XX) 2 Associative rings and algebras (16-XX) 2 Functions of a complex variable (30-XX) 2 Operator theory (47-XX) 1 Commutative algebra (13-XX) 1 Ordinary differential equations (34-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 68 times in 49 Documents Cited by ▼ Year ▼ An embedding of Schwartz distributions in the algebra of asymptotic functions. Zbl 0916.46028 Oberguggenberger, Michael; Todorov, Todor 16 1998 Full algebra of generalized functions and non-standard asymptotic analysis. Zbl 1194.46064 Todorov, Todor D.; Vernaeve, Hans 13 2008 A nonstandard delta function. Zbl 0744.26017 Todorov, Todor 7 1990 Nonstandard and standard compactifications of ordered topological spaces. Zbl 0766.54032 Salbany, Sergio; Todorov, Todor 6 1992 Nonstandard analysis in topology: Nonstandard and standard compactifications. Zbl 0969.54037 Salbany, S.; Todorov, Todor 5 2000 An existence result for linear partial differential equations with \(C^\infty\) coefficients in an algebra of generalized functions. Zbl 0909.35029 Todorov, Todor 4 1996 An axiomatic approach to the nonlinear theory of generalized functions and consistency of Laplace transforms. Zbl 1251.46020 Todorov, Todor D. 3 2011 Colombeau’s generalized functions and non-standard analysis. Zbl 0749.46047 Todorov, T. D. 3 1988 Pointwise values and fundamental theorem in the algebra of asymptotic functions. Zbl 0942.46025 Todorov, Todor D. 2 1999 Pointwise kernels of Schwartz distributions. Zbl 0751.03037 Todorov, Todor 2 1992 Alexander’s subbase lemma. Zbl 0678.54040 Salbany, S.; Todorov, T. D. 1 1989 Existence and uniqueness of \(v\)-asymptotic expansions and Colombeau’s generalized numbers. Zbl 1086.46031 Todorov, Todor D. 1 2005 Asymptotic functions as kernels of the Schwartz distributions. Zbl 0602.46043 Todorov, T. D. 1 1985 The products \(\delta ^ 2(x),\delta (x)\cdot x^{-n}\), \(\Theta (x)\cdot x^{-n}\), etc. in the class of the asymptotic functions. Zbl 0602.46044 Todorov, T. D. 1 1985 Algebraic approach to Colombeau theory. Zbl 1305.46037 Todorov, Todor D. 1 2013 Steady-state solutions in an algebra of generalized functions. Zbl 1460.46031 Todorov, Todor D. 1 2015 Back to classics: Teaching limits through infinitesimals. Zbl 1032.26500 Todorov, Todor D. 1 2001 Steady-state solutions in an algebra of generalized functions. Zbl 1460.46031 Todorov, Todor D. 1 2015 Algebraic approach to Colombeau theory. Zbl 1305.46037 Todorov, Todor D. 1 2013 An axiomatic approach to the nonlinear theory of generalized functions and consistency of Laplace transforms. Zbl 1251.46020 Todorov, Todor D. 3 2011 Full algebra of generalized functions and non-standard asymptotic analysis. Zbl 1194.46064 Todorov, Todor D.; Vernaeve, Hans 13 2008 Existence and uniqueness of \(v\)-asymptotic expansions and Colombeau’s generalized numbers. Zbl 1086.46031 Todorov, Todor D. 1 2005 Back to classics: Teaching limits through infinitesimals. Zbl 1032.26500 Todorov, Todor D. 1 2001 Nonstandard analysis in topology: Nonstandard and standard compactifications. Zbl 0969.54037 Salbany, S.; Todorov, Todor 5 2000 Pointwise values and fundamental theorem in the algebra of asymptotic functions. Zbl 0942.46025 Todorov, Todor D. 2 1999 An embedding of Schwartz distributions in the algebra of asymptotic functions. Zbl 0916.46028 Oberguggenberger, Michael; Todorov, Todor 16 1998 An existence result for linear partial differential equations with \(C^\infty\) coefficients in an algebra of generalized functions. Zbl 0909.35029 Todorov, Todor 4 1996 Nonstandard and standard compactifications of ordered topological spaces. Zbl 0766.54032 Salbany, Sergio; Todorov, Todor 6 1992 Pointwise kernels of Schwartz distributions. Zbl 0751.03037 Todorov, Todor 2 1992 A nonstandard delta function. Zbl 0744.26017 Todorov, Todor 7 1990 Alexander’s subbase lemma. Zbl 0678.54040 Salbany, S.; Todorov, T. D. 1 1989 Colombeau’s generalized functions and non-standard analysis. Zbl 0749.46047 Todorov, T. D. 3 1988 Asymptotic functions as kernels of the Schwartz distributions. Zbl 0602.46043 Todorov, T. D. 1 1985 The products \(\delta ^ 2(x),\delta (x)\cdot x^{-n}\), \(\Theta (x)\cdot x^{-n}\), etc. in the class of the asymptotic functions. Zbl 0602.46044 Todorov, T. D. 1 1985 all cited Publications top 5 cited Publications all top 5 Cited by 51 Authors 5 Giordano, Paolo Robuffo 5 Todorov, Todor Dimitrov 4 Bottazzi, Emanuele 3 Baglini, Lorenzo Luperi 3 Khalfallah, Adel 3 Loeb, Peter A. 3 Render, Hermann 3 Vernaeve, Hans 2 Baty, Roy S. 2 Benci, Vieri 2 Garcia, Antônio Ronaldo Gomes 2 Insall, Matt 2 Juriaans, Stanley Orlando 2 Marciniak, Małgorzata Aneta 2 Rodrigues, W. M. 2 Tucker, Don H. 1 Agbebaku, Dennis Ferdinand 1 Atanasova-Pacemska, Tatjana 1 Atanassov, Krassimir Todorov 1 Banerjee, Mohua 1 Beer, Gerald Alan 1 Bezhanishvili, Guram 1 Chistyakov, Vyacheslav V. 1 Delcroix, Antoine 1 Echi, Othman 1 Farassat, F. 1 Garetto, Claudia 1 Howlader, Prosenjit 1 Hu, Jiaxin 1 Hyun, Nak-seung P. 1 Jolevska-Tuneska, Biljana 1 Katz, Mikhail G. 1 Khelif, Anatole 1 Kosarew, Siegmund 1 Kunzinger, Michael 1 Miteva, Marija 1 Morandi, Patrick J. 1 Nigsch, Eduard Albert 1 Oberguggenberger, Michael B. 1 Ok, Efe A. 1 Prodanov, Dimiter 1 Radyna, Yauhen M. 1 Salbany, Sergo 1 Scarpalezos, Dimitris 1 Shannon, Anthony Greville 1 Tall, David 1 Vakil, Nader 1 van der Walt, Jan Harm 1 Verbitsky, Misha 1 Verriest, Erik I. 1 Vindas, Jasson all top 5 Cited in 31 Serials 6 Monatshefte für Mathematik 4 Journal of Mathematical Analysis and Applications 4 Topology and its Applications 3 Proceedings of the American Mathematical Society 3 Integral Transforms and Special Functions 2 International Journal of Mathematical Education in Science and Technology 2 Advances in Mathematics 2 Mathematische Nachrichten 1 Astrophysics and Space Science 1 Journal of Mathematical Physics 1 Algebra Universalis 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 The Journal of Symbolic Logic 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Order 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) 1 Journal of Convex Analysis 1 Novi Sad Journal of Mathematics 1 Fractional Calculus & Applied Analysis 1 Foundations of Science 1 Milan Journal of Mathematics 1 Nonlinear Analysis. Hybrid Systems 1 Journal of Logic and Analysis 1 São Paulo Journal of Mathematical Sciences 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 SN Partial Differential Equations and Applications all top 5 Cited in 27 Fields 26 Functional analysis (46-XX) 14 Mathematical logic and foundations (03-XX) 13 Real functions (26-XX) 13 General topology (54-XX) 5 Field theory and polynomials (12-XX) 4 Partial differential equations (35-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Commutative algebra (13-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 2 Integral transforms, operational calculus (44-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year