Abstract
Life at the Mathmech on Vasilyevsky Island 10th Line continued until late at night, and I often stayed there the whole day, like many other students. If lectures ended at 3 o’clock, seminars usually began at six to allow people from other schools to arrive on time for them.
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Notes
- 1.
A quotation from the New Testament. Mathew, 4:4.
- 2.
I should have looked through the “Trigonometric series” by A. Zygmund, 1939 edition; but it did not occur to me.
- 3.
That advice was given me not by chance. In 1956, V. M. Babich and L. N. Slobodetsky published a short paper in “Doklady of USSR Academy of Sciences”, v. 106, pp. 604–606, where they spoke about spaces of functions with fractional smoothness. This was not at all what I had invented, (in other words, that was not Liouville fractional derivatives), but, as it was found out later, it, too, had been known since the 1930s (see pp. 350–353 in the book mentioned in Footnote 11 in Chap. 4).
- 4.
See Footnote 16 in Chap. 2.
- 5.
Grigoriy Samuilovich Tseitin, born in 1936.
- 6.
Julius Pavel Shauder (1898–1943).
- 7.
In 1960, he became the chief of the Machine Translation Experimental Laboratory at NIIMM (Scientific Research Institute of Mathematics and Mechanics).
- 8.
Anatoly Olesyevich Slisenko, born in 1941.
- 9.
V. A. Rokhlin (1919–1984).
- 10.
N. A. Shanin (1919–2011).
- 11.
M. L. Lozinsky (1886–1955).
- 12.
Readings from Dante, 1987. General editor: Igor Belza. M.: “Nauka” (Science), 1989.
- 13.
S. M. Lozinsky’s main job was at the Leningrad Air Force Academy.
- 14.
Yury Vladimirovich Linnik (1915–1972).
- 15.
Leonid Vitalyevich Kantorovich (1912–1986).
- 16.
“Problems and Theorems in Analysis”.
- 17.
A teacher in the elementary religious Jewish school.
- 18.
Although it seems self-evident this rule was often violated in the USSR and in the West. As mathematics turned into a mass profession, in some countries hidden and even explicit plagiarism reached dangerous proportions in the beginning of the twenty-first century.
- 19.
The novel was published in Russian in 1968.
- 20.
S. L. Sobolev (1908–1989).
- 21.
O. A. Ladyzhenskaya (1922–2004).
- 22.
See Footnote No. 11 in Chap. 4.
- 23.
“Oberiuts” (Society of Real Art). A Leningrad literary group in the 1920s and 1930s. Many Oberiuts were subjected to repression.
- 24.
“Samizdat” a Russian abbreviation of the words “self-publishing” which was persecuted by the Soviet regime.
- 25.
The Academy of the Sharp-Sighted (literary expression in Italian “lynx-eyed”), founded in 1603, the oldest Academy in the world. Galileo Galilei became its member in1611.
- 26.
Carlo Miranda, Partial Differential Equations of elliptic type. M, 1957.
- 27.
On the solvability of the Dirichlet problem for elliptic equations, USSR Academy of Sciences, 129, 2, pp. 257–260.
- 28.
M. S. Birman (1928–2009).
- 29.
Those who would like to have a deeper understanding of this issue may turn to V. Maz’ya’s Sobolev Spaces with Applications to Elliptic Partial Differential Equations, Grundlehren der Mathematischen Wissenschaften, vol. 342, Springer, 2011.
- 30.
A famous Gulag prisoners’ song given here in the book author’s version.
- 31.
I understand that even this simplified formulation may be obscure for a non-specialist, but it is sufficient here to just indicate the result.
- 32.
M. A. Krasnoselsky (1920–1997).
- 33.
P. E. Sobolevsky born in 1930.
- 34.
On July 12, 1960 we submitted the article “On operators generating semigroups” to the Editorial Board of the “Uspekhy of Mathematical Sciences”. But it was issued two and a half years later, in November-December 1962. Meanwhile, in 1961, a similar result of Lumer-Phillips was published, and the theorem became textbook material.
- 35.
See Chapter “Defense at the Moscow State University”, pp. 191.
- 36.
I. Y. Bakelman (1928–1992).
- 37.
I. Y. Bakelman. “The First Boundary Value Problem for Nonlinear Elliptic Equations”. Doctor of Physical and Mathematical Sciences dissertation. Leningrad Pedagogical Institute. 1959.
- 38.
DAN USSR “Doklady Akademii Nauk SSSR” (Reports of the USSR Academy of Sciences).
- 39.
Carlo Pucci, Ann. Mat. Pura Appl. (4) 74, 1966, 15–30. The fact that the results of this article were long known in the USSR was learned by Pucci from me at the International Congress of Mathematics in Moscow in August 1966. He had time to include the corresponding note during the proofreading.
- 40.
Soviet citizens had internal passports where Item 5 indicated ethnicity. The phrase “someone has a problem with the fifth item” meant the person was a Jew.
- 41.
S. V. Vallander (1917–1975).
- 42.
M. M. Smirnov (1921–1990).
- 43.
V. A. Solonnikov, born in 1933.
- 44.
Siegfried Prössdorf (1939–1998).
- 45.
GDR, German Democratic Republic; Deutsche Demokratische Republik in German (DDR).
- 46.
Officially accepted shortened name for Soviet satellite countries.
- 47.
Potsdam, a city 20 km south-west of Berlin.
- 48.
Erhard Meister (1930–2001).
- 49.
See Problems and Methods in Mathematical Physics. The Siegfried Prössdorf Memorial Volume, Editors: J. Elschner, I. Gohberg, B. Silbermann, Birkhäuser 2001.
- 50.
This book was published by LSU as late as 1985, and simultaneously, without the Soviet authorities’ permission it was issued by Springer-Verlag International Publishers..
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Maz’ya, V. (2014). Mathmech Life. In: Differential Equations of My Young Years. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-01809-6_5
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