I'm reading a paper by V.S. Vladimirov and I.V. Volovich and they make a particular claim which is supposed to be discussed in:


N.M. Krylov, Dokl. Akad. Nauk SSSR, **60**, 687 (1947).


I have not been able to reproduce the claimed result, so, it would be nice to see what precisely is done in the reference above. 


The claim is that hyperderivatives of functions on $\mathcal{A} = \mathbb{R} \oplus j\mathbb{R} \oplus j^2\mathbb{R}$ with $j^3=1$ give three dimensional wave equations. V.S. Vladimirov and I.V. Volovich do show other examples that I've been able to reproduce, but the $j^3=1$ example is elusive. 


Thanks in advance for any insights.


**Update:(9/13/2012)** I have tried my interlibrary loan service and contacting the author, but neither has been thus far successful. I need to find the title of the article and/or the page numbers for the interlibrary loan service to try to find it. The style of reference I list above is sadly insufficient for them to locate the article.



Trying to find Russian paper from 1947
Does this sound like it?


Крылов Н.М. О кватернионах Роана Гамильтона и понятии моногенности// ДАН СССР.- 1947.- т.55, № 9. с.799-800.


In English: N.M.Krylov, On Rowan Hamilton quaternions and the notion of monogeny, Doklady Akademii Nauk SSSR (Proceedings of the Academy of Sciences of the USSR), 1947, vol. 55, no 9, pages 799-800


It disagrees with the data you have in the volume and the issue numbers but it is the closest one I could find as far as the other parameters are concerned. I do not have an access to the article either (I doubt any kind soul was patient enough to scan all old volumes of DAN) but if you confirm that the title sounds reasonable, I can try to get a scan of the article (alas, in Russian). Also, I doubt it'll have a full proof of anything there: most likely it is a short announcement (a la Comptes Rendus). However, it still may give some clues. 


