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 growth Complexity of Homogeneous Spaces and Growth of Multiplicities We give a representation-theoretic interpretation of this number as the exponent of growth for multiplicities of simple G-modules in the spaces of sections of homogeneous line bundles on G/H. A necessary and sufficient geometric condition on the growth of the boundary of approximate tiles is reduced to a problem in Fourier analysis that is shown to have an elegant simple solution in dimension one. We prove a Tauberian theorem of the form $\phi * g (x)\sim p(x)w(x)$ as $x \to \infty,$ where p(x) is a bounded periodic function and w(x) is a weighted function of power growth. A complex Radon measure μ on ?n is said to be of at most exponential-quadratic growth if there exist positive constants C and α such that. Let Xexp denote the space of all complex Radon measure on ?n of at most exponential-quadratic growth. The classical Paley-Wiener theorem for functions in Ldx2 relates the growth of the Fourier transform over the complex plane to the support of the function. The use of time-frequency methods (phase space methods) allows the use of rough symbols of ultra-rapid growth in place of smooth symbols in the standard classes. Local Growth Envelopes of Triebel-Lizorkin Spaces of Generalized Smoothness Design, Synthesis and Growth Inhibition Activity of Bis-Epoxyethyl Derivatives of Stallimycin Modified on the Amidino Moiety 3D QSAR STUDIES OF INHIBITORS OF EPIDERMAL GROWTH FACTOR RECEPTOR [EGFR] USING CoMFA AND GFA METHODOLOGIES Epidermal Growth Factor Receptor (EGFR) is among the growth factor receptor kinases that have been implicated in as being important in cancer. Seven compounds caused 50% growth inhibition (GI50) of tumor cells at concentrations of >amp;lt;100 μM while the remaining ten were not cytotoxic. The 'active' compounds, which reduced growth of cancer cells to ca. Several compounds have demonstrated growth inhibitory effects (GI50) in a wide range of cancer cell lines. Serum vascular endothelial growth factor and diabetic nephropathy progression To determine the serum levels of vascular endothelial growth factor (VEGF) at different stages of diabetic nephropathy. We obtain some precise estimates of the order of growth and of the exponent of convergence of the zero-sequence of solutions for this equation. In this paper, by using the theory of semigroup and spectrum, a computation formula on the growth order of one class ofC0-semigroups in Banach space is proved. Homoclinic orbits for second order Hamiltonian system with quadratic growth

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