Institució Catalana de Recerca i Estudis Avançats (ICREA)

Email: dyakonov@mat.ub.es

Qualifications

1991 Ph.D., St. Petersburg State University, Russia

1986 M.S., Leningrad State University, The Soviet Union

Publications (Selected)

1. K. M. Dyakonov, Kernels of Toeplitz operators, smooth functions, and Bernstein-type inequalities, (English transl.) Journal of Mathematical Sciences 78 (1996), 131-141.
2. K. M. Dyakonov, Interpolating functions of minimal norm, star-invariant subspaces, and kernels of Toeplitz operators, Proceedings of the American Mathematical Society 116 (1992), 1007-1013.
3. K. M. Dyakonov, Smooth functions and coinvariant subspaces of the shift operator, St. Petersburg Mathematical Journal 4 (1993), 933-959.
4. K. M. Dyakonov, Division and multiplication by inner functions and embedding theorems for star-invariant subspaces, American Journal of Mathematics 115 (1993), 881-902.
5. K. M. Dyakonov, Multiplication by Blaschke products and stability of ideals in Lipschitz algebras, Mathematica Scandinavica 73 (1993), 246-258.
6. K. M. Dyakonov, Smooth functions in the range of a Hankel operator, Indiana University Mathematics Journal 43 (1994), 805-838.
7. K. M. Dyakonov, Moment problems for bounded functions, Communications in Analysis and Geometry 2 (1994), 533-562.
8. K. M. Dyakonov, Smooth functions and inner factors, in: Linear and Complex Analysis Problem Book (V. P. Havin and N. K. Nikolski, eds.), Part I, pp. 457-460, Lecture Notes in Mathematics, vol. 1573, Springer-Verlag, Berlin and Heidelberg, 1994.
9. K. M. Dyakonov, On the zeros and Fourier transforms of entire functions in the Paley-Wiener space, Mathematical Proceedings of the Cambridge Philosophical Society 119 (1996), 357-362.
10. K. M. Dyakonov, Generalized Hardy inequalities and pseudocontinuable functions, Arkiv för Matematik 34 (1996), 231-244.
11. K. M. Dyakonov, Factorization of smooth analytic functions via Hilbert-Schmidt operators, St. Petersburg Mathematical Journal 8 (1997), 543-569.
12. K. M. Dyakonov, On the moduli of holomorphic functions that are smooth up to the boundary, in: Classical Analysis, Proceedings of the 8^th International Symposium, Kazimierz Dolny, Poland (T. Mazur, ed.), pp. 7-11, Warsaw Agriculture University Press, Warsaw, 1996.
13. K. M. Dyakonov, The moduli of holomorphic functions in Lipschitz spaces, Michigan Mathematical Journal 44 (1997), 139-147.
14. K. M. Dyakonov, Equivalent norms on Lipschitz-type spaces of holomorphic functions, Acta Mathematica 178 (1997), 143-167.
15. K. M. Dyakonov, Besov spaces and outer functions, Michigan Mathematical Journal 45 (1998), 143-157.
16. K. M. Dyakonov, Embedding theorems for star-invariant subspaces generated by smooth inner functions, Journal of Functional Analysis 157 (1998), 588-598.
17. K. M. Dyakonov, Multiplicative structure in weighted BMOA spaces, Journal d’Analyse Mathématique 75 (1998), 85-104.
18. K. M. Dyakonov, Approximate identities and geometric means of smooth positive functions, Journal d’Analyse Mathématique 78 (1999), 307-327.
19. K. M. Dyakonov, Coefficient inequalities for functions annihilated by a Toeplitz operator, Complex Variables Theory and Applications 39 (1999), 39-56.