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scientific article; zbMATH DE number 2012927
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scientific article; zbMATH DE number 2012927

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    4 December 2003
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    functional analysis
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    operator theory
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    geometry of Hilbert spaces
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    bounded operators
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    orthonormal systems
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    Fourier series
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    compact operators
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    eigenvalues
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    compact self-adjoint operators
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    spectral mapping theorem
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    Hilbert--Schmidt theorem
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    Mercer's theorem
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    trace formula
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    differential equations in Hilbert spaces
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    diagonalization
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    Fredholm theory
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    nonlinear operators
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    contraction mapping theorem
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    Hahn--Banach theorem
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    closed graph theorem
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