Some further classes of pseudo-differential operators in the p-adic context and their applications [0.03%]
某些伪差分运算符在p进制背景下的进一步分类及其应用
Anselmo Torresblanca-Badillo,Adriana A Albarracín-Mantilla
Anselmo Torresblanca-Badillo
The purpose of this article is to study new non-Archimedean pseudo-differential operators whose symbols are determined from the behavior of two functions defined on the p-adic numbers. Thanks to the characteristics of our symbols, we can fi...
Pseudo-fractional differential equations and generalized g-Laplace transform [0.03%]
伪分数阶微分方程与广义g-Laplace变换
J Vanterler da C Sousa,Rubens F Camargo,E Capelas de Oliveira et al.
J Vanterler da C Sousa et al.
In this article, we introduce a generalized g-Laplace transform and discuss some essential results of integral transform theory, in particular, involving a ψ -Hilfer pseudo-fractional derivative and function convolution. In this sense,...
Eduard A Nigsch
Eduard A Nigsch
We present a construction of algebras of generalized functions of Colombeau-type which, instead of asymptotic estimates with respect to a regularization parameter, employs only topological estimates on certain spaces of kernels for its defi...
Gabor frame sets of invariance: a Hamiltonian approach to Gabor frame deformations [0.03%]
盖伯框架不变集：盖伯框架变形的汉密尔顿方法
Markus Faulhuber
Markus Faulhuber
In this work we study families of pairs of window functions and lattices which lead to Gabor frames which all possess the same frame bounds. To be more precise, for every generalized Gaussian g, we will construct an uncountable family of la...