Superalgebras with Involution or Superinvolution and Almost Polynomial Growth of the Codimensions
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DOI: 10.1007/s10468-018-9807-3
Abstract: Let A be a superalgebra with graded involution or superinvolution ∗ and let cn∗(A)$c_{n}^{*}(A)$, n = 1,2,…, be its sequence of ∗-codimensions. In case A is finite dimensional, in Giambruno et al. (Algebr. Represent. Theory 19(3),… read more here.
Keywords: almost polynomial; growth; involution superinvolution; polynomial growth ... See more keywords
Stably Noetherian Algebras of Polynomial Growth
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DOI: 10.1007/s10468-020-09958-w
Abstract: Let A be a right noetherian algebra over a field k . If the base field extension A ⊗ k K remains right noetherian for all extension fields K of k , then A is… read more here.
Keywords: noetherian algebras; polynomial growth; algebras polynomial; field ... See more keywords
Option Pricing with Fractional Stochastic Volatility and Discontinuous Payoff Function of Polynomial Growth
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DOI: 10.1007/s11009-018-9650-3
Abstract: We consider the pricing problem related to payoffs of polynomial growth that can have discontinuities of the 1st kind. The asset price dynamic is modeled within the Black-Scholes framework characterized by a stochastic volatility term… read more here.
Keywords: stochastic volatility; option; polynomial growth; volatility ... See more keywords
Polynomial codimension growth of algebras with involutions and superinvolutions
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DOI: 10.1016/j.jalgebra.2016.10.007
Abstract: Abstract Let A be an associative algebra over a field F of characteristic zero endowed with a graded involution or a superinvolution ⁎ and let c n ⁎ ( A ) be its sequence of… read more here.
Keywords: finite dimensional; polynomial growth; involutions superinvolutions; codimension growth ... See more keywords
Convolution kernels versus spectral multipliers for sub-Laplacians on groups of polynomial growth
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DOI: 10.1016/j.jfa.2019.05.024
Abstract: Abstract Let L be a sub-Laplacian on a connected Lie group G of polynomial growth. It is well known that, if F : R → C is in the Schwartz class S ( R )… read more here.
Keywords: kernels versus; groups polynomial; polynomial growth; convolution kernels ... See more keywords