Induced operators on the space of homogeneous polynomials
2016 ◽
Vol 09
(02)
◽
pp. 1650038
Keyword(s):
Let [Formula: see text] be the complex vector space of homogeneous polynomials of degree [Formula: see text] with the independent variables [Formula: see text]. Let [Formula: see text] be the complex vector space of homogeneous linear polynomials in the variables [Formula: see text]. For any linear operator [Formula: see text] acting on [Formula: see text], there is a (unique) induced operator [Formula: see text] acting on [Formula: see text] satisfying [Formula: see text] In this paper, we study some algebraic and geometric properties of induced operator [Formula: see text]. Also, we obtain the norm of the derivative of the map [Formula: see text] in terms of the norm of [Formula: see text].
2009 ◽
Vol 125
(4)
◽
pp. 2538-2538
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1976 ◽
Vol 28
(6)
◽
pp. 1311-1319
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A note on holomorphic matric automorphic factors with respect to a lattice in a complex vector space
1976 ◽
Vol 63
◽
pp. 163-171
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1994 ◽
Vol 36
(3)
◽
pp. 301-308
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1976 ◽
Vol 80
(2)
◽
pp. 337-347
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Keyword(s):
2013 ◽
Vol 2015
(5)
◽
pp. 1247-1262
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Keyword(s):
1963 ◽
Vol 3
(2)
◽
pp. 180-184
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