Dinesh Singh

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We obtain necessary and sufficient conditions for NevanlinnaPick interpolation on the unit disk with the additional restriction that all analytic interpolating functions satisfy f ′(0) = 0. Alternatively, these results can be interpreted as interpolation results for H∞(V ), where V is the intersection of the bidisk with an algebraic variety. We use an(More)
In vivo magnetic resonance imaging (MRI) is a powerful noninvasive technique in medical diagnosis; however, its application to analyze skin disorders is still at initial stages. To check whether MRI can be used as a noninvasive tool to analyze skin tumors, we carried out MRI of mice after treatment with benzo[a]pyrene (BP), a well known carcinogen. MRI was(More)
Synthesis of nanomaterials by a simple, low cost and in high yield has been a great challenge since the very early development of nanoscience. Various bottom and top down approaches have been developed so far, for the commercial production of nanomaterials. Among all top down approaches, high energy ball milling, has been widely exploited for the synthesis(More)
This paper deals with the problem of characterizing submodules of C(T) over certain subalgebras of the disk algebra A. We obtain results that are analogues of the classical characterizations of subspaces of C(T) that are invariant under multiplication by z, i.e., that are submodules over A. These characterizations yield generalizations of Wermer’s(More)
A lactose nano-probe has been developed by immobilization of PsBGAL onto gold nanoparticles (AuNps). It is helpful for severe lactose intolerants for quality check of lactose hydrolyzed milk and estimation of hidden lactose present in variety of food products. Optimization of PsBGAL immobilization onto AuNps using spacer arm (cysteamine-glutaraldehyde) was(More)
Application of indoleacetic acid (IAA) at a concentration of 2–10 µg ml–1 significantly enhanced the sporulation frequency and number of microsporocarps per plant in Azolla microphylla (two strains), Azolla caroliniana and Azolla pinnata. An increase in the number of megasporocarps was observed in A. microphylla at 4 µg ml–1 and 6 µg ml–1 and in A.(More)
Here we report the electrochemical performance of a interesting three-dimensional (3D) structures comprised of zero-dimensional (0D) cobalt oxide nanobeads, one-dimensional (1D) carbon nanotubes and two-dimensional (2D) graphene, stacked hierarchically. We have synthesized 3D self-assembled hierarchical nanostructure comprised of cobalt oxide nanobeads(More)
strains used in the study sporulate throughout the year while Azolla caroliniana and Azolla pinnata strains show sporulation only during November–March, the favourable period for sporulation. Application of gibberellic acid (GA) at a concentration of 2.5–100.0 μg ml–1 substantially enhanced the sporulation frequency and number of sporocarps (mega plus(More)
LET U = [0,1], and let K=* 2 be an integer. Suppose that g is a Lebesgueintegrable function, not necessarily bounded, in U, and that h is any function in U. Let 9 = 9(K, N) be a distribution of JV points in U such that h(y) is finite for every y e 9. For any x = ( x l t . . . , xK) e U, let B(x) denote the box consisting of all y = (yi, • • •, yK)e l/(More)