Complex Analysis and Related Topics

✍ Scribed by Lilia N. Apostolova (auth.), Enrique Ramírez de Arellano, Nikolai L. Vasilevski, Michael Shapiro, Luis Manuel Tovar (eds.)

• Publisher: Birkhäuser Basel
• Year: 2000
• Tongue: English
• Leaves: 281
• Series: Operator Theory Advances and Applications 114
• Edition: 1
• Category: Library

✦ Synopsis

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 Schrödinger 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.

✦ Table of Contents

Front Matter....Pages i-vii
Local integrability of systems of m smooth linearly independent complex vector fields on m + 1 dimensional manifolds....Pages 1-13
On Asymptotic properties of the one-dimensional Schrödinger equation....Pages 15-19
On Q p functions....Pages 21-29
On Green’s functions for subelliptic operators....Pages 31-46
Clifford analysis on Poincaré space....Pages 47-58
Unitarily invariant trace extensions beyond the trace class....Pages 59-65
L 2 results for $$\overline \partial$$ in a conic....Pages 67-72
Lie superalgebras of supermatrices of complex size. Their generalizations and related integrable systems....Pages 73-105
A new local variant of the Hausdorff-Young inequality....Pages 107-130
Spectral asymptotics of the N particle Schrödinger equation when N → ∞ and normal forms of the quadratic boson operators....Pages 131-145
A survey of Q p spaces....Pages 147-154
Hurwitz-type and space-time-type duality theorems for Hermitian Hurwitz pairs....Pages 155-169
On the problem of deciding whether a holomorphic vector field is complete....Pages 171-195
Variations on a theorem of Severi....Pages 197-205
Bergman-Toeplitz and pseudodifferential operators....Pages 207-234
The small Hankel operator in several complex variables....Pages 235-252
The reproducing kernel Hilbert space and its multiplication operators....Pages 253-263
Lie algebras in Fock space....Pages 265-284

✦ Subjects

Mathematics, general