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 Schr�dinger equation.- 3. On Qp functions.- 4. On Green's functions for subelliptic operators.- 5. Clifford analysis on Poincar� 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 Schr�dinger 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.

Rese�a del editor:

This volume is a collection of up-to-date research and expository papers on different aspects of complex analysis, including relations to operator theory and hypercomplex analysis. The articles cover many important and essential subjects, such as the Schr�dinger equation, subelliptic operators, Lie algebras and superalgebras, Toeplitz and Hankel operators, reproducing kernels and Qp spaces, among others. Most of the papers were presented at the International Symposium on Complex Analysis and Related Topics held in Cuernavaca (Morelos), Mexico, in November 1996, which was attended by approximately 50 experts in the field. The book can be used as a reference work on recent research in the subjects covered. It is one of the few books stressing the relation between operator theory and complex and hypercomplex analyses. The book is addressed to researchers and postgraduate students in the fields named here and in related ones.

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