In second chapter,we introduce the stochastic process Z_(kj)~(Δ,N) which is closely related with the estimation of the impulse transfer function,and give the property and correlation function of the stochastic process Z_(kj)~(Δ,N).
For Lucas seqence L_n=L_(n-1)+L_(n-2)(n≥ 2 , L_0=2, L_1=1), which is related to Fibonacci sequence, some similar results and a regular rule are summariged.
This paper studies the representations of a class of associative algebras related to the quantum torus CQ[x±1,y±1] which is introduced in [6] to study the extended affine Lie algebras [1].
In the case of unitary ensemble (i.e.β=2), the 1-level correlation functions R~1_(n2)(x) is closely related to the weight function μ(x) in the classical orthogonal polynomial theory.
Gindikin that complex analytic objects related to these domains will provide explicit realizations of unitary representations ofH?.
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Using related sequences of Lucas numbers, other 3-manifolds are constructed, their geometric structures determined, and a curious relationship between the homology and the invariant trace-field examined.
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In this paper, we prove three types of rigidity results related to CAT(-1) spaces, namely the rigidity of the isometric actions on CAT(-1) spaces under the commensurability subgroups, the higher rank lattices and certain ergodic cocycles.
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Fourier transforms related to a root system of rank 1
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We present two-sided singular value estimates for a class of convolution-product operators related to time-frequency localization.