Welcome
to the web page of Ilya
Krishtal!
So
far my web page is being under construction but you can already
see my publications, courses,
and a small
picture gallery.
PUBLICATIONS
- 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.
- 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.
- 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
- 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).
- 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.
- IK. Spectral
analysis of causal operators, Ph. D.
thesis, Voronezh State University, 2003, pdf (Russian).
SUBMITTED
- IK, B. Robinson, G.Weiss, and E. Wilson. Some simple
Haar–type wavelets in higher dimensions, J. Geom. Anal., pdf.
SELECTED OLDER PUBLICATIONS/PREPRINTS
- A.G. Baskakov and IK. On Harmonic Analysis of Causal
Operators and their Spectral Properties, Tübinger Berichte 2003, preprint
- A.G. Baskakov and IK. On the Spectral Properties of Causal Operators, Vestnik
VGU: Physics, Mathematics, No.
2, 2002, pdf
(Russian), description.
- IK. On invertibility criteria in the
algebra of
causal operators,
Vestnik
VGU: Physics, Mathematics, No.
1, 2002, pdf
(Russian), description.
- IK. Different
Banach Module’s Spectra as a Key to Spectral Mapping Theorem, Proceedings
of the V
TULKA
Internet Seminar Karlsruhe,
2002
- IK. Invertibility and causal invertibility of operators with the
two-point Beurling spectrum, Izvestiya
Ross. Akad. Estestv. Nauk, Ser. MMMIU, 4 (4) 2000, description.
- 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.
- 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.
- 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.
- I.
F. Astakhova and IK. Expert
System Generator
“Expert-M”, Student
manual, Voronezh, 1998, 20 pp. (Russian), description.
- 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