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The word "space" has gradually acquired a mathematical significance so broad that it is virtually equivalent to the word "class", as used in logic. -- Marshall H. Stone (Linear Transformations in Hilbert Space, 1932)

Towards non-perturbative quantization of Yang-Mills fields and the mass gap

Stories: Cosmos Lev Chevron

$$ \int_0^\infty J_0(x-y) \left(\sqrt{\frac{4k-3}{2\pi}} \int_{-1}^1 P_{2(k-1)}(t) e^{i t y} dt\right) dy = \frac{\Gamma(k+\frac{1}{2})^2 \sqrt{4k+1}}{\Gamma(k+1)^2 \sqrt{\pi}} \psi_k(x) $$