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Transition to Higher Mathematics
This book is written for students who have taken calculus and want to learn what "real mathematics" is.
Pick Interpolation and Hilbert Function Spaces
The book first rigorously develops the theory of reproducing kernel Hilbert spaces. The authors then discuss the Pick problem of finding the function of smallest $H^infty$ norm that has specified values at a finite number of points in the disk. Their viewpoint is to consider $H^infty$ as the multiplier algebra of the Hardy space and to use Hilbert space techniques to solve the problem. This approach generalizes to a wide collection of spaces. The authors then consider the interpolation problem in the space of bounded analytic functions on the bidisk and give a complete description of the solution. They then consider very general interpolation problems. The book includes developments of all the theory that is needed, including operator model theory, the Arveson extension theorem, and the hereditary functional calculus.
You Can't Hide the Sun
The ancient places and stories of the Holy Land are so etched into our cultural and mental landscapes that it is hard to separate ancient tales from modern realities. Of course, this is part of the potency of the place, but also part of the illusion.In
Operator Analysis
This monograph, aimed at graduate students and researchers, explores the use of Hilbert space methods in function theory. Explaining how operator theory interacts with function theory in one and several variables, the authors journey from an accessible explanation of the techniques to their uses in cutting edge research.
So All Can Learn
How do we educate so all can learn? What does differentiation look like when done successfully? This practical guide to differentiation answers these questions and more. Based on national and international work, McCarthy shares how educators finally understand how differentiation can work. Bridging pedagogy and practice, each chapter addresses a key understanding for how good teaching practices can include differentiation with examples and concrete methods and strategies. The book is constructed to differentiate for diverse educators: veteran of many years to the pre-service teacher, classroom teacher leader to administrator as instructional leader, and coaches for staff professional develop...
Immigration
None
Hearings
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Holomorphic Spaces
Expository articles describing the role Hardy spaces, Bergman spaces, Dirichlet spaces, and Hankel and Toeplitz operators play in modern analysis.
