On a~class of pseudodifferential operators with an infinite number of variables, and applications
Sbornik. Mathematics, Tome 15 (1971) no. 3, pp. 443-491
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In this work there are investigated pseudodifferential operators of an infinite number of variables whose symbols, roughly speaking, are comparable with a fractional power of a fixed elliptic quadratic form. A composition formula for such operators is proved. Applications are made to the theory of elliptic and parabolic operators of higher orders.
Figures: 2.
Bibliography: 8 titles.
@article{SM_1971_15_3_a4,
author = {P. M. Bleher and M. I. Vishik},
title = {On a~class of pseudodifferential operators with an infinite number of variables, and applications},
journal = {Sbornik. Mathematics},
pages = {443--491},
publisher = {mathdoc},
volume = {15},
number = {3},
year = {1971},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1971_15_3_a4/}
}
TY - JOUR AU - P. M. Bleher AU - M. I. Vishik TI - On a~class of pseudodifferential operators with an infinite number of variables, and applications JO - Sbornik. Mathematics PY - 1971 SP - 443 EP - 491 VL - 15 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1971_15_3_a4/ LA - en ID - SM_1971_15_3_a4 ER -
P. M. Bleher; M. I. Vishik. On a~class of pseudodifferential operators with an infinite number of variables, and applications. Sbornik. Mathematics, Tome 15 (1971) no. 3, pp. 443-491. http://geodesic.mathdoc.fr/item/SM_1971_15_3_a4/