Department of Mathematics and Statistics at the Faculty of Science
University of Calgary
Alex Brudnyi
- Professor
- Applied Mathematics
Research Interests
Currently Teaching
| F2012 - MATH 251 - Calculus I | |||||||||||||||||
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| W2013 - AMAT 617 - Analysis IV | |||||||||||||||||
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| W2013 - MATH 521 - Complex Analysis II | |||||||||||||||||
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Publications
Book
- Brudnyi, Alex and Brudnyi, Yuri. Methods of Geometric Analysis in Lipschitz extension and trace problems, Volume I Basel: Monographs in Mathematics, Springer, 2011. 560 pps.
- Brudnyi, Alex and Brudnyi, Yuri. Methods of Geometric Analysis in Lipschitz extension and trace problems, Volume II Basel: Monographs in Mathematics, Springer, 2011. 433 pps.
- Brudnyi, Alex. Inequalities for entire functions 15. Bar-Ilan Univ., 2001. 47-66.
Journal Paper
- Brudnyi, Alex, Rodman, Leiba and Spitkovsky, Ilya. Non-denseness of factorable matrix functions 261.7 2011. 1969--1991.
- Brudnyi, Alex and Brudnyi, Yuri. Traces of Ck functions to weak Markov subsets of Rn 23. 2011. 1--19.
- Kinzebulatov, Damir and Brudnyi, Alex. On holomorphic almost periodic functions on coverings of complex manifolds 17. 2011. 1--34.
- Brudnyi, Alex, Rodman, Leiba and Spitkovsky, Ilya. Factorization versus invertibility of matrix functions on compact abelian groups 218. 2011. 225-239.
- Brudnyi, Alex. On covering numbers of sublevel sets of analytic functions 162. 2010. 72-93.
- Brudnyi, Alex, Bos, Len and Levenberg, Norm. On polynomial inequalities on exponential curves in C^n 31.1 2010. 139-147.
- Brudnyi, Alex and Kinzebulatov, Damir. Holomorphic semi-almost periodic functions 66.3 2010. 293-325.
- Brudnyi, Alex and Kinzebulatov, Damir. On algebras of holomorphic functions with semi-almost periodic boundary values 32.1 2010. 1-12.
- Brudnyi, Alex, Rodman, Leiba and Spitkovsky, Ilya M.. Projective free algebras of continuous functions on compact abelian groups 259.4 2010. 918-932.
- Brudnyi, Alex and Yomdin, Yosef. Tree composition condition and moments vanishing 23.7 2010. 1651-1673.
- Brudnyi, Alex. Some algebraic aspects of the center problem for ordinary differential equations 9 2010. 9--28.
- Brudnyi, Alex. Holomorphic L^p functions on coverings of strongly pseudoconvex manifolds 137. 2009. 227-234.
- Brudnyi, Alex and Sasane, Amol. Sufficient conditions for the projective freeness of Banach algebras 257. 2009. 4003-4014.
- Brudnyi, Alex. Free subgroups of the group of formal power series and the center problem for ODEs 31.4 2009. 97-106.
- Brudnyi, Alex. Center problem for ODEs with coefficients generating the group of rectangular paths 31.2 2009. 33-44.
- Brudnyi, Alex. On local behavior of holomorphic functions along complex submanifolds of C^N 173.2 2008. 315-363.
- Brudnyi, Alex. Vanishing of higher-order moments on Lipschitz curves 132. 2008. 165-181.
- Brudnyi, Alex. Formal paths, iterated integrals and the center problem for ODEs 132. 2008. 455-485.
- Brudnyi, Alex and Brudnyi, Yuri. Linear and nonlinear extensions of Lipschitz functions from subsets of metric spaces 19.3 2008. 397-406.
- Brudnyi, Alex and Kinzebulatov, Damir. On uniform subalgebras of L^\infty on the unit circle generated by almost periodic functions 19.4 2008. 495-518.
- Brudnyi, Alex. Hartogs type theorems for CR L^2 functions on coverings of strongly pseudoconvex manifolds 189. 2008. 27-47.
- Brudnyi, Alex. Corona theorem for coverings of Riemann surfaces of finite type 56. 2008. 283-299.
- Brudnyi, Alex. An algebraic approach to the center problem for ODEs 2.3 2008. 127-132.
- Brudnyi, Alex and Brudnyi, Yuri. Metric spaces with linear extensions preserving Lipschitz condition 129. 2007. 217-314.
- Brudnyi, Alex. On holomorphic functions of slow growth on coverings of strongly pseudoconvex manifolds 249.2 2007. 354-371.
- Brudnyi, Alex. On holomorphic L^2 functions on coverings of strongly pseudoconvex manifolds 43. 2007. 963-976.
- Brudnyi, Alex and Brudnyi, Yuri. A universal Lipschitz extension property for Gromov hyperbolic spaces 23.3 2007. 861-896.
- Brudnyi, Alex and Brudnyi, Yuri. Remez type inequalities and Morrey-Campanato spaces on Ahlfors regular sets 445. 2007. 19-44.
- Brudnyi, Alex. On center sets of ODEs determined by moments of their coefficients 130. 2006. 33-48.
- Brudnyi, Alex. On the center problem for ordinary differential equations 128.2 2006. 419-451.
- Brudnyi, Alex. Representation of holomorphic functions on coverings of pseudoconvex domains in Stein manifolds via integral formulas on these domains 231. 2006. 418-437.
- Brudnyi, Alex. Holomorphic functions of slow growth on coverings of pseudoconvex domains in Stein manifolds 142. 2006. 1018-1038.
- Brudnyi, Alex and Brudnyi, Yuri. Local inequalities for multivariate polynomials and plurisubharmonic functions 2006. 17-32.
- Brudnyi, Alex. Hartogs type theorems on coverings of Stein manifolds 17.3 2006. 339-349.
- Brudnyi, Alex. Geometry of Banach spaces predual to H^\infty and corona problem 2006.
- Brudnyi, Alex and Brudnyi, Yuri. Extension of Lipschitz functions defined on metric spaces of homogeneous type 19.2 2006. 347-359.
- Brudnyi, Alex. Graphs of zeros of families of analytic functions 357.5 2005. 1859-1875.
- Brudnyi, Alex and Brudnyi, Yuri. Simultaneous Lipschitz extensions 60.6 2005. 53-72.
- Brudnyi, Alex. Contractibility of maximal ideal spaces of certain algebras of almost periodic functions 52. 2005. 595-598.
- Brudnyi, Alex. Holomorphic functions of slow growth on coverings of strongly pseudoconvex manifolds 2005.
- Brudnyi, Alex. Projections in the space H^\infty and the corona theorem for subdomains of coverings of finite bordered Riemann surfaces 42.1 2004. 31-59.
- Brudnyi, Alex. Grauert- and Lax-Halmos-type theorems and extension of matrices with entries in H^\infty 206.1 2004. 87-108.
- Brudnyi, Alex. An explicit expression for the first return map in the center proble 206. 2004. 306-314.
- Brudnyi, Alex. An algebraic model for the center problem 128. 2004. 839-857.
- Brudnyi, Alex. A uniqueness property for H^infty on coverings of projective manifolds 51.3 2003. 503-507.
- Brudnyi, Alex. Solvable quotients of K\"ahler groups 51.3 2003. 477-490.
- Brudnyi, Alex. Solvable matrix representations of K\"ahler groups 19.2 2003. 167-191.
- Brudnyi, Alex. A Jensen inequality for a family of analytic functions and an estimate for the average number of limit cycles 35.2 2003. 229-235.
- Brudnyi, Alex. Cyclicity of zeros of families of analytic functions 13.6 2003. 1161-1188.
- Bos, Len, Brudnyi, Alex, Levenberg, N. and Totik, V. . Tangential Markov inequalities on transcendental curves 19.3 2003. 339-354.
- Brudnyi, Alex. Topology of the maximal ideal space of H^\infty 189.1 2002. 21-52.
- Brudnyi, Alex. The distribution of values of generalized exponential polynomials on convex sets 31.2 2002. 131-136.
- Brudnyi, Alex. On a BMO-property for subharmonic functions 8.6 2002. 603-612.
- Brudnyi, Alex. Holomorphic functions of exponential growth on abelian coverings of a projective manifold 127.1 2001. 69-81.
- Brudnyi, Alex. Bernstein type inequalities for quasipolynomials 112.1 2001. 28-43.
- Brudnyi, Alex. Small amplitude limit cycles and the distribution of zeros of families of analytic functions 154.2 2001. 227-243.
- Brudnyi, Alex and Onishchik, A. L.. Triangular de Rham cohomology of compact K\"ahler manifolds 112. 2001. 28-43.
- Brudnyi, Alex. Matrix-valued corona theorem for multiply connected domains 49.4 2000. 1405-1410.
- Brudnyi, Alex. On local behavior of analytic functions 169.2 1999. 481-493.
- Brudnyi, Alex. Classification theorem for a class of flat connections and representations of K\"ahler groups 46.3 1999. 489-514.
- Brudnyi, Alex. Cartwright type theorems for a class of plurisubharmonic functions 48.2 1999. 365-384.
- Brudnyi, Alex. Local inequalities for plurisubharmonic functions 149.2 1999. 511-533.
- Brudnyi, Alex. Holomorphic functions of polynomial growth on abelian coverings of a compact complex manifold 6.3 1998. 485-510.
- Brudnyi, Alex. A Bernstein-type inequality for algebraic functions 46.1 1997. 93-116.
- Brudnyi, Alex. On Euclidean domains 21.9 1993. 3327-3336.
Degrees
- 1986 - BSc - Yaroslavl University
- 1996 - Ph.D. - Technion
Awards
- 2010 - NSERC - unclassified
- 2010 - NSERC Accelerator Grant - unclassified
- 2005 - NSERC - unclassified
- 2003 - Market Supplement - unclassified
- 2002 - Andr\'e Aisenstadt Mathematics Prize - The Centre de Recherches Math\'ematiques, Montreal
- 2001 - NSERC - unclassified
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