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 a senior researcher at the Institute of Mathematics of the Academy of Sciences of Azerbaijan SSR. At Baku State University (Azerbaijan), he has been Associate Professor, Professor, and Head of the Department of Functional Analysis. Between 1993 and 1997, he was President of the Azerbaijan Mathematical Society. He was Visiting Professor at the University of Nantes, the Institute of Mathematics at the ETH, and Sussex University. From 1997 to 2002, he was Professor at Dokuz Eylul University and since 2003 has been Professor at Dogus University.
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Non-Self-Adjoint Schrödinger Operator with a Periodic Potential
Oktay Veliev
This book offers a comprehensive exploration of spectral theory for non-self-adjoint differential operators with complex-valued periodic coefficients, addressing one of the most challenging problems in mathematical physics and quantum mechanics: constructing spectral expansions in the absence of a general spectral theorem. It examines scalar and vector Schrödinger operators, including those with PT-symmetric periodic optical potentials, and extends these methodologies to higher-order operators with periodic matrix coefficients.The second edition significantly expands...
