This concise monograph explores how core ideas in Hardy space
function theory and operator theory continue to be useful and
informative in new settings, leading to new insights for
noncommutative multivariable operator theory. Beginning with a
review of the confluence of system theory ideas and reproducing
kernel techniques, the book then covers representations of
backward-shift-invariant subspaces in the Hardy space as ranges of
observability operators, and representations for
forward-shift-invariant subspaces via a Beurling-Lax representer
equal to the transfer function of the linear system. This pair of
backward-shift-invariant and forward-shift-invariant subspace form
a generalized orthogonal decomposition of the ambient Hardy space.
All this leads to the de Branges-Rovnyak model theory and
characteristic operator function for a Hilbert space contraction
operator. The chapters that follow generalize the system theory and
reproducing kernel techniques to enable an extension of the ideas
above to weighted Bergman space multivariable settings.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
