I want to study a detailed proof of the Nuclear Spectral Theorem(adsbygoogle = window.adsbygoogle || []).push({});

(which underpins the use of Rigged Hilbert Spaces in modern QM

to make the Dirac bra-ket formalism respectable).

Most textbooks and papers refer to the old multi-volume series on

generalized functions by Gelfand and Vilenkin, but I cannot borrow

it locally and the price from Amazon is ridiculous.

Does anyone know of proofs in other textbooks, or maybe from

a (free) online source?

Thanks in advance for any suggestions...

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# Proof of Gelfand-Maurin Nuclear Spectral Theorem?

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