Algebraic Theory of Causal Double Products
Keyword(s):
AbstractCorresponding to each “rectangular” double product in the form of a formal power series R[h] with coefficients in the tensor product 풯(ℒ)⊙ 풯 (ℒ) with itself of the Itô Hopf algebra, we construct “triangular” elements T[h] of 풯(ℒ) satisfying ΔT[h] = T[h](1) R[h]T{h](2). In Fock space representations of 풯(ℒ) by iterated quantum stochastic integrals when ℒ is the algebra of Itô differentials of the calculus, these correspond to “causal” double product integrals in a single Fock space.
2003 ◽
Vol 184
(2)
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pp. 369-383
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Keyword(s):
2004 ◽
Vol 339
(8)
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pp. 533-538
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2002 ◽
Vol 51
(3)
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pp. 403-410
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2017 ◽
Vol 2018
(15)
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pp. 4780-4798
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Keyword(s):
2011 ◽
Vol 31
(1)
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pp. 331-343
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CYCLICITY AND UNICELLULARITY OF THE DIFFERENTIATION OPERATOR ON BANACH SPACES OF FORMAL POWER SERIES
2005 ◽
Vol 105A
(1)
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pp. 1-7
Keyword(s):
2019 ◽
pp. 151-167