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Full Description
This volume, addressed to researchers and postgraduate students, compiles up-to-date research and expository papers on different aspects of complex analysis, including relations to operator theory and hypercomplex analysis. Subjects include the Schrodinger equation, subelliptic operators, Lie algebras and superalgebras, among others.
Contents
1. Local integrability of systems of m smooth linearly independent complex vector fields on m + 1 dimensional manifolds.- 2. On asymptotic properties of the one-dimensional Schrödinger equation.- 3. On Qp functions.- 4. On Green's functions for subelliptic operators.- 5. Clifford analysis on Poincaré space.- 6. Unitarily invariant trace extensions beyond the trace class.- 7. L2 results for $$\overline \partial$$ in a conic.- 8. Lie superalgebras of supermatrices of complex size. Their generalizations and related integrable systems.- 9. A new local variant of the Hausdorff-Young inequality.- 10. Spectral asymptotics of the N particle Schrödinger equation when N ? ? and normal forms of the quadratic boson operators.- 11. A survey of Qp spaces.- 12. Hurwitz-type and space-time-type duality theorems for Hermitian Hurwitz pairs.- 13. On the problem of deciding whether a holomorphic vector field is complete.- 14. Variations on a theorem of Severi.- 15. Bergman-Toeplitz and pseudodifferential operators.- 16. The small Hankel operator in several complex variables.- 17. The reproducing kernel Hilbert space and its multiplication operators.- 18. Lie algebras in Fock space.
