Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 25.07.1959
E-mail:
Keywords: the theory of approximation, analysis of the Fourier, positive definite and completely monotonic functions, zero of entire functions, integral transforms.
UDC: 517, 517.51, 517.518, 519.213.2, 517.5, 517.518.83, 517.521
MSC: 26a48, 26a51, 42a10, 42a15, 42a82, 42b08, 42b10, 46b04, 60e05

Subject:

Positive definite functions. Theory of Approximation and Harmonic Analysis.

Main publications:

1. Zastavnyi V. P., “O mnozhestve nulei preobrazovaniya Fure mery i summirovaniii dvoinykh ryadov Fure metodami tipa Bernshteina–Rogozinskogo”, Ukr. matem. zhurn., 36:5 (1984), 615–621    
2. Zastavnyi V. P., “Polozhitelno opredelennye funktsii, zavisyaschie ot normy”, Doklady Rossiiskoi akademii nauk, 325:5 (1992), 901–903    
3. Zastavnyi V. P., “Positive definite functions depending on the norm”, Russian Journal of Mathematical Physics, 1993, no. 4, 511–522    
4. Zastavnyi V. P., “O polozhitelnoi opredelennosti nekotorykh funktsii”, Doklady RAN, 365:2 (1999), 159–161    ; angliiskii perevod: “On positive definiteness of some functions”, Dokl. Math., 59 (1999), 156–161
5. Zastavnyi V. P., “On positive definiteness of some functions”, Journal of Multivariate Analysis, 73 (2000), 55–81      

Publications in Math-Net.Ru

Personal pages:

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Organisations:

• Donetsk National University