hilbert_space m21k In mathematics, a Hilbert space is an inner_product_space that is complete with respect to the norm defined by the inner product. Hilbert spaces serve to clarify and generalize the concept of Fourier expansion, certain linear transformations such as the Fourier transform, and are of crucial importance in the mathematical formulation of quantum_echanics. They are studied in functional_analysis. 041009 what's it to you? who go blather from