5 citations · 10 across the 7 of their papers we have counts for
7 papers
A quick distributional way to reproduce some results of the Riemann zeta function
Junfa Deng, Yunyun Yang, Hao Zhang
The evaluation of the Riemann zeta function at negative integers is a classical result typically obtained through analytic continuation or contour integration. In this paper, we pr…
Distributions in spaces with thick submanifolds
Jiajia Ding, Jasson Vindas, Yunyun Yang
We present the construction of a theory of distributions (generalized functions) with a ``thick submanifold'', that is, a new theory of thick distributions on whose…
Reconstruction of the one-dimensional thick distribution theory
Yunyun Yang
The theory of thick distributions (both in dimension 1 and in higher dimensions) was constructed in recent years [7, 27]. However this theory of distributions with one thick point…
The Fourier transform of thick distributions
Ricardo Estrada, Jasson Vindas, Yunyun Yang
We first construct a space whose elements are test functions defined in $\mathbb{R} _{\text{c}}^{n}=\mathbb{R}^{n}\cup\left\{…
Some Subtleties in the Relationships among Heat Kernel Invariants, Eigenvalue Distributions, and Quantum Vacuum Energy
S. A. Fulling, Y. Yang
A common tool in Casimir physics (and many other areas) is the asymptotic (high-frequency) expansion of eigenvalue densities, employed as either input or output of calculations of…
Applications of the Thick Distributional Calculus
Yunyun Yang, Ricardo Estrada
We give several applications of the thick distributional calculus. We consider homogeneous distributions, point source fields, and higher order derivatives of order
Comment on `Comment on `Some novel delta-function identities' by Charles P Frahm (Am. J. Phys 51 826--9 (1983))' by J. Franklin (Am. J. Phys 78 1225--26 (2010))
Yunyun Yang, Ricardo Estrada
We prove the formula for the second order "thick" distributional derivative of 1/r in 3 dimensional Euclidean space. This formula generalizes the well known Frahm formulas for the…