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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

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References on the partial trace

For the Hilbert space $H^N:=L((\mathbb R^{3})^N,\mathbb C)$, consider the projection operator $D: H^N\to H^N$ as follows : $$D(\Phi):=\left(\int_{(\mathbb R^{3})^N}\overline{\Psi(x_1,\ldots, x_N)}\Phi …
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1 vote
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On some integral equation

Let $M$ be the set of continuous and increasing functions $h: [0,1)\to\mathbb R_+$ s.t. $h(0)=0$ and $h(1-)=+\infty$. Consider the equation as follows: $$ 1-t= \int\limits_0^\infty p(x)\Phi\left(\frac …
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