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THE NONCOMMUTATIVE WIENER LEMMA,LINEAR INDEPENDENCE,AND SPECTRAL PROPERTIES OF THE ALGEBRA OF TIME-FREQUENCY SHIFT OPERATORS
NONCOMMUTATIVE WIENER LEMMA LINEAR INDEPENDENCE SPECTRAL PROPERTIES OF THE ALGEBRA TIME-FREQUENCY SHIFT OPERATORS
2015/9/29
In this paper we analyze the Banach *-algebra of time-frequency shifts with absolutely summable coefficients. We prove a noncommutative version of the Wiener lemma. We also construct a faithful tracia...
Minimal primes of ideals arising from conditional independence statements
conditional independence statements Commutative Algebra
2011/9/22
Abstract: We consider ideals, arising in the context of conditional independence models, that generalize those considered by Fink [6] in a way distinct from the generalization of [11]. We describe the...
ALGEBRAIC INDEPENDENCE OF PERIODS AND LOGARITHMS OF DRINFELD MODULES
Algebraic independence Drinfeld modules
2015/7/6
Algebraic Independence of Certain Generalized Mahler Type Numbers
Mahler type numbers Generalized Mahler type numbers Algebraic independence Multiplicative dependence
2007/12/11
In this paper the generalized Mahler type number $M_h(g;A,T)$ is defined, and in the case of multiplicatively dependent parameters $g_i, h_i (1 \leq i \leq s)$ the algebraic independence of the number...
On the Block Independence in $G$-Inverse and Reflexive Inner Inverse of A Partitioned Matrix
$G$-inverse reflexive inner inverse partitioned matrices block independence QQQQQ-SVD
2007/12/11
By applying the multiple quotient singular value decomposition QQQQQ-SVD, we study the block independence in $g$-inverse and reflexive inner inverse of $2\times 2$ partitioned matrices, and prove a co...