Profile
B.Sc. in Mathematics (1986), University of Ioannina, Department of Mathematics, Greece
Ph.D. in Mathematics (1992), University of South Carolina Department of Mathematics, USA.
Research Interests
Approximation Theory, Harmonic Analysis and the related topics of classical analysis including the study of decomposition systems on various spaces of distributions.
Selected Publications
G. Kyriazis and P. Petrushev, (2009). On the construction of frames for Banach spaces, J. Funct. Anal., Vol. 257 (7), 2159--2187.
G. Kyriazis, P. Petrushev and Y. Xu, (2008). Decomposition of Triebel-Lizorkin and Besov spaces on the ball, Proc. London Math. Soc., Vol. 97, (2008), 477--513.
G. Kyriazis, P. Petrushev and Y. Xu, (2008). Jacobi decomposition of weighted Triebel-Lizorkin and Besov spaces, Studia Math., Vol. 186, (2008), 161--202.
G. Kyriazis, (2004). Multilevel characterizations of Anisotropic function spaces, SIAM J. Math. Anal., Vol. 36, (2004), 441--462.
G. Kyriazis and P. Petrushev, (2002). New bases for Triebel-Lizorkin and Besov Spaces, Trans. Amer. Math. Soc., Vol. 354, 749--776.
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