Hilbert Space Methods In Partial Differential Equations

Hilbert Space Methods In Partial Differential Equations

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the mathematical concept of a hilbert space named after david hilbert generalizes the notion of euclidean spaceit extends the methods of vector algebra and calculus from the two dimensional euclidean plane and three dimensional space to spaces with any finite or infinite number of dimensionsa hilbert space is an abstract vector space possessing the structure of an inner product that allows