Welcome to the web page of Ilya Krishtal!

I am a mathematician, and currently work as an
Assistant Professor
at the Department of Mathematical Sciences at
Northern Illinois University

Contact information:
e-mail: mailto: krishtal @ math.niu.edu
phone: (815)-753-6769
fax: (815)-753-1112

Address: Ilya Krishtal
Department of Mathematics
Northern Illinois University
DeKalb, IL 60115, USA

So far my web page is being under construction. At some point you will be able to see my brief resume, publications, courses, and a small picture gallery.

RECENT 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 E_n⁽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, 2006, pp. 52-55, 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, Issue 2, 2005, pp. 420-439, doi, html, pdf.

IK. Spectral analysis of causal operators, Ph. D. thesis, Voronezh State University, 2003, pdf (Russian).

IK, B. Robinson, G. Weiss, and E. Wilson. Some simple Haar–type wavelets in higher dimensions, J. Geom. Anal., Vol. 17, No. 1, 2007, pp. 87-96, pdf

A. Aldroubi, A.G. Baskakov, and IK. On slanted matrices in frames theory, in Proceedings of SPIE "Wavelets XII", 6701 0Q, 2007, pdf

E. Acosta-Reyes, A. Aldroubi, and IK. On stability of sampling-reconstruction models, to appear in Adv. Comp. Math., 2008, pdf.

IK and K. Okoudjou. Invertibility of the Gabor frame operator on the Wiener amalgam space, to appear in J. Approx. Theory, 2008, doi, pdf

SUBMITTED FOR PUBLICATION

A. Aldroubi, A.G. Baskakov, and IK. Slanted matrices, Banach frames, and sampling, submitted in 2007, pdf

R. Balan and IK. An almost periodic noncommutative Wiener's lemma, submitted in 2008 .

SELECTED OLDER PUBLICATIONS

A.G. Baskakov and IK. On harmonic analysis of causal operators and their spectral properties, Tübinger berichter, 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 spectra as a key to the 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 modeling of socio-economic processes," Voronezh, 2000, pp. 47-51, (Russian), description.

IK and T. Vinokurova. Preference projection method for a neoclassic consumption model, In "System modeling of socio-economic processes," Voronezh, 2000, pp. 72-74, (Russian), description.

I.F. Astakhova, IK et al. Employment of expert system generator "Expert-M" when working with economic models, Interuniversitary collection of articles "Russian Eonomy at Present," Voronezh, 1998, pp. 18-28, (Russian), description.

I.F. Astakhova and IK. Expert system generator "Expert-M" , Student manual, Voronezh, 1998, 20 p., (Russian), description.

IK. On C*-algebras generated by one or two idempotents, Vestnik VGU: Physics, Mathematics, No. 3, 1998, description.