Multidimensional Periodic Schrödinger Operator - Veliev, Oktay

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Résumé :
Preliminary Facts.- From One-dimensional to Multidimensional.- Asymptotic Formulas for the Bloch Eigenvalues and Bloch Functions.- Constructive Determination of the Spectral Invariants.- Periodic Potential from the Spectral Invariants.- Conclusions and Some Generalization....

Biographie:
Oktay Veliev received his B.S. degree in Mathematics in 1977 and Ph.D. degree in Mathematics in 1980 from Moscow State University, earning a Doctor of Sciences degree in 1989. From 1980 to 1983, he was a researcher and then senior researcher (1983-1988) at the Institute of Mathematics of the Academy of Sciences of Azerbaijan SSR. At Baku State University (Azerbaijan) he has been an Associate Professor (1988-1991), a Professor (1991-1992), and Head of the Department of Functional Analysis (1992-1997). Between 1993 and 1997, he was President of the Azerbaijan Mathematical Society. He was a visiting Professor at the University of Nantes (France), the Institute of Mathematics at the ETH (Switzerland), and Sussex University (England). From 1997 to 2002 he was a Professor at Dokuz Eylul University (Turkey), and since 2003 has been a Professor at Dogus University (Turkey). He has received grants from the American Mathematical Society and the International Science Foundation (GrantNo. MVVOOO).

Sommaire:
Oktay Veliev received his B.S. degree in Mathematics in 1977 and Ph.D. degree in Mathematics in 1980 from Moscow State University, earning a Doctor of Sciences degree in 1989. From 1980 to 1983, he was a researcher and then senior researcher (1983-1988) at the Institute of Mathematics of the Academy of Sciences of Azerbaijan SSR. At Baku State University (Azerbaijan) he has been an Associate Professor (1988-1991), a Professor (1991-1992), and Head of the Department of Functional Analysis (1992-1997). Between 1993 and 1997, he was President of the Azerbaijan Mathematical Society. He was a visiting Professor at the University of Nantes (France), the Institute of Mathematics at the ETH (Switzerland), and Sussex University (England). From 1997 to 2002 he was a Professor at Dokuz Eylul University (Turkey), and since 2003 has been a Professor at Dogus University (Turkey). He has received grants from the American Mathematical Society and the International Science Foundation (GrantNo. MVVOOO)....