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Eigenfunction expansions associated with second-order differential equations

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The article was published on 1946-01-01 and is currently open access. It has received 1626 citations till now. The article focuses on the topics: Differential equation & Boundary value problem.

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Analytic Number Theory

TL;DR: In this paper, the critical zeros of the Riemann zeta function are defined and the spacing of zeros is defined. But they are not considered in this paper.
Book

Trace ideals and their applications

TL;DR: In this paper, Calkin's theory of operator ideals and symmetrically normed ideals convergence theorems for trace, determinant, and Lidskii's theorem are discussed.
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Random dispersal in theoretical populations.

TL;DR: In this paper, the authors used the random walk problem as a starting point for the analytical study of dispersal in living organisms and applied the law of diffusion to the understanding of the spatial distribution of population density in both linear and two-dimensional habitats.
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Functions of a Complex Variable

TL;DR: In this paper, a theory of complex-valued functions of a complexvalued argument is presented, which contains some remarkably powerful results which are applicable to a variety of problems, such as the Fourier series expansion.
Journal ArticleDOI

Random dispersal in theoretical populations

TL;DR: The random-walk problem is adopted as a starting point for the analytical study of dispersal in living organisms and the law of diffusion is deduced and applied to the understanding of the spatial distribution of population density in both linear and two-dimensional habitats.