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In this revised and extended version of his course notes from a 1-year-course at Scuola Normale Superiore, Pisa, the author provides an introduction - for an audience knowing basic functional analysis and measure theory but not necessarily probability theory - to analysis in a separable Hilbert spact of infinite dimension. Moreover, some detailes have been added as well as some new material on dynamical systems with dissipative nonlinearities and asymptotic behavior for gradient systems.
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In this revised and extended version of his course notes from a 1-year-course at Scuola Normale Superiore, Pisa, the author provides an introduction - for an audience knowing basic functional analysis and measure theory but not necessarily probability theory - to analysis in a separable Hilbert spact of infinite dimension. Moreover, some detailes have been added as well as some new material on dynamical systems with dissipative nonlinearities and asymptotic behavior for gradient systems.
Atsiliepimai