Welcome to the web page of Ilya Krishtal!

I am a mathematician, and currently is a
William Chauvenet Postdoctoral Lecturer
at the Mathematics Department of
Washington University in St. Louis.
Contact information:              
e-mail: krishtal   @   math.wustl.edu
phone: (314)-935-6785
fax:      (314)-935-6839
Address:  Ilya Krishtal   
Mathematics Department, Box 1146
Washington University
St. Louis, MO 63130, USA

So far my web page is being under construction but you can already see my publications, courses, and a small picture gallery.

PUBLICATIONS

  1. A. Aldroubi, and IK. Robustness of sampling and reconstruction and Beurling-Landau type thorems for shift invariant spaces, Appl. Comput. Harmon. Anal., Vol 20/2, 2006, pp. 250-260, doi, dvi, ps.
  2. D. Bakic, IK, and E. Wilson. Parseval frame wavelets with En(2)-dilations, Appl. Comput. Harmon. Anal., Vol 19/3, 2005, pp. 386-431, doi, dvi, ps.
  3. A.G. Baskakov and IK. On harmonic analysis of causal operators,  Functional Analysis and Its Applications, Vol. 40, No. 1, pp. 52–55, 2006, doi, pdf
  4. A.G. Baskakov and IK. Harmonic analysis of causal operators and their spectral properties, Izvestiya: Mathematics  3 (69) 2005, pp. 439–486, doi, ps (Russian, preliminary), pdf (English).
  5. A.G. Baskakov and IK. Spectral analysis of operators with the two-point Bohr spectrum, J. Math. Anal. Appl., Volume 308 (2005), Issue 2, pp. 420-439, doi, html, pdf.
  6. IK. Spectral analysis of causal operators, Ph. D. thesis, Voronezh State University, 2003, pdf (Russian).

SUBMITTED

  1. IK, B. Robinson, G.Weiss, and E. Wilson. Some simple Haar–type wavelets in higher dimensions, J. Geom. Anal.,  pdf.

SELECTED OLDER PUBLICATIONS/PREPRINTS

  1. A.G. Baskakov and IK. On Harmonic Analysis of Causal Operators and their Spectral Properties, Tübinger Berichte 2003, preprint
  2. A.G. Baskakov and IK. On the Spectral Properties of Causal Operators, Vestnik VGU: Physics, Mathematics, No. 2, 2002, pdf (Russian), description.
  3. IK. On invertibility criteria in the algebra of causal operators, Vestnik VGU: Physics, Mathematics, No. 1, 2002, pdf (Russian), description.
  4. IK. Different Banach Module’s Spectra as a Key to Spectral Mapping Theorem, Proceedings of the V TULKA Internet Seminar Karlsruhe, 2002
  5. IK. Invertibility and causal invertibility of operators with the two-point Beurling spectrum, Izvestiya Ross. Akad. Estestv. Nauk, Ser. MMMIU, 4 (4) 2000, description.
  6. S.Yu. Balasheva, IK, I.A. Rodionova, and N.A. Zhdankina. On a problem of uniform distribution of multiplying traffic flows, in "System modelling of socio-economic processes", Voronezh, 2000 (Russian), pp. 47-51, description.
  7. IK and T.N. Vinokurova. Preference projection method for a neoclassic consumption model, in "System modelling of socio-economic processes", Voronezh, 2000 (Russian), pp. 72-74, description.
  8. I. F. Astakhova, IK et al. Employment of Expert System Generator “Expert-M” when working with economic models, Interuniversitary Collection of Articles “Russian Economy at Present”, Voronezh, 1998, pp. 18-28 (Russian), description.
  9. I. F. Astakhova and IK. Expert System Generator “Expert-M”, Student manual, Voronezh, 1998, 20 pp. (Russian), description.
  10. IK. On C*-algebra generated by one or two idempotents, Vestnik VGU: Physics, Mathematics, No. 3, 1998, pp. 238-242, description.

TEACHING

OLD SYLLABI (F2003-S2006)

Math 141 Accelerated Calculus I
Math 142 Accelerated Calculus II
Math 217 Differential Equtions
Math 233 Calculus III
Math 410   Introduction to Fourier Series and Integrals
Math 4111 Introduction to Analysis

Math 4121 Introduction to Lebesgue Integration