‎in this paper we introduce mixed unitary cayley graph $m_{n}$‎ ‎$(n>1)$ and compute its eigenvalues‎. ‎we also compute the energy of‎ ‎$m_{n}$ for some $n$‎.

Unitary IPSCs elicited by fast-spiking (FS) interneurons in layer V pyramidal cells of the neocortex were studied by means of dual whole-cell recordings in acute slices. FS to pyramidal cell unitary IPSCs were depressed by (RS)-S-amino-3-(3-hydroxy-5-tert-butylisoxazol-4-yl) (ATPA), a kainate (KA) receptor agonist, and by the endogenous agonist l-glutamate in the presence of AMPA, NMDA, mGluR, ...

The firing patterns of neurons in the globus pallidus (GP) are affected by two major sources of GABAergic inhibition: striatal afferents and local axon collaterals. Local GABAergic GP-GP synapses display short-term depression (STD) and very sparse connectivity. At the high presynaptic firing rates typical in the GP, one would expect this STD to be complete, practically cancelling the postsynapt...

The indefinite orthogonal group G = O(p, q) has a distinguished infinite dimensional irreducible unitary representation π for p+ q even and greater than 4, which is the “smallest” in the sense that the Gelfand–Kirillov dimension of π attains its (positive) minimum value p + q − 3 among the unitary dual of G. Moreover, π is the minimal representation if p+ q > 6. The Schrödinger model realizes π...

The Schur transform is a unitary operator that block diagonalizes the action of the symmetric and unitary groups on an n fold tensor product V ⊗n of a vector space V of dimension d. Bacon, Chuang and Harrow [5] gave a quantum algorithm for this transform that is polynomial in n, d and log ǫ, where ǫ is the precision. Following this, it had been an open question whether one can obtain an algorit...

The activity of gap junction channels between pairs of neonatal rat heart cells in culture was studied under control conditions and during uncoupling procedures by using dual whole-cell voltage clamp techniques. Under control conditions gap junctional conductance ranged from 0.05 to 35 nS. In cell pairs exhibiting low gap junctional conductance (less than 500 pS), single-channel events with a u...

We give an operator theoretic approach to the constructions of multiresolutions as they are used in a number of basis constructions with wavelets, and in Hilbert spaces on fractals. Our approach starts with the following version of the classical Baumslag-Solitar relations ut = tu where t is a unitary operator in a Hilbert space H and u is an isometry in H. There are isometric dilations of this ...