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2011

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The study of biharmonic functions under the ordinary (Euclidean) Laplace operator on the open unit disk D in C arises in connection with plate theory, and in particular, with the biharmonic Green functions which measure, subject to various boundary conditions, the deflection at one point due to a load placed at another point. A homogeneous tree T is widely… (More)

- D Singman, C A Catassi, C R Smiley, W H Wattenburg, E L Peterson
- JAMA
- 1965

- Ibtesam Bajunaid, Joel M. Cohen, Flavia Colonna, David Singman
- The American Mathematical Monthly
- 2005

1. INTRODUCTION. The delight of finding unexpected connections is one of the rewards of studying mathematics. In this paper we present connections that link the following seven superficially unrelated entities:

- Joel M. Cohen, Flavia Colonna, David Singman
- J. London Math. Society
- 2011

We study the potential theory of trees with nearest-neighbor transition probability that yields a recurrent random walk and show that, although such trees have no positive potentials, many of the standard results of potential theory can be transferred to this setting. We accomplish this by defining a non-negative function H, harmonic outside the root e and… (More)

- J V CAMPBELL, D SINGMAN
- Western journal of surgery, obstetrics, and…
- 1947

Let D be a bounded symmetric domain in C N and let ψ be a complex-valued holomorphic function on D. In this work, we determine the operator norm of the bounded multiplication operator with symbol ψ from the space of bounded holomorphic functions on D to the Bloch space of D when ψ fixes the origin. If no restriction is imposed on the symbol ψ, we have a… (More)

- S Lepkovsky, F Furuta, M K Dimick, D Singman, T Koike
- Poultry science
- 1970

- B. A. MAIR, DAVID SINGMAN
- 2009

In this paper, a general Fatou theorem is obtained for functions which are integrals of kernels against measures on R n. These include solutions of Laplace's equation on an upper half-space, parabolic equations on an infinite slab and the heat equation on a right half-space. Lebesgue almost everywhere boundary limits are obtained within regions which… (More)

- R L Montgomery, D Singman
- Hospitals
- 1970

- S LEPKOVSKY, H J BORSON, +4 authors R ROBBINS
- The American journal of physiology
- 1951