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Function theory on the annulus in the dp-norm. [PDF]

open access: yesIntegr Equ Oper Theory
Agler J, Lykova ZA, Young NJ.
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Cognition in Hilbert space

Behavioral and Brain Sciences, 2013
AbstractUse of quantum probability as a top-down model of cognition will be enhanced by consideration of the underlying complex-valued wave function, which allows a better account of interference effects and of the structure of learned and ad hoc question operators.
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State in Hilbert Space

SIAM Review, 1973
Summary: A resolution space, recently introduced for the study of causality in an operator theoretic setting, is employed to formulate an abstract state concept which generalizes the state space theory commonly used in the study of finite-dimensional dynamical systems.
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Causality in Hilbert Space

SIAM Review, 1970
A new formalism, termed the resolution space, is presented within which the theory of causal systems may be unified and extended. The resulting formalism, which is defined as a Hilbert space together with a resolution of the identity, readily includes the commonly encountered function and sequence space causality concepts yet is sufficiently ...
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