Generalised cosine functions, basis and regularity properties
نویسندگان
چکیده
منابع مشابه
Classification by evolutionary generalised radial basis functions
This paper proposes a Neural Network model using Generalised kernel functions for the hidden layer of a feed forward network. These functions are Generalised Radial Basis Functions (GRBF), and the architecture, weights and node topology are learned through an evolutionary algorithm. The proposed model is compared with the corresponding standard hidden-node models: Product Unit (PU) neural netwo...
متن کاملClosed form representations and properties of the generalised Wendland functions
In this paper we investigate the generalisation of Wendland’s compactly supported radial basis functions to the case where the smoothness parameter is not assumed to be a positive integer or half-integer and the parameter l, which is chosen to ensure positive definiteness, need not take on the minimal value. We derive sufficient and necessary conditions for the generalised Wendland functions to...
متن کاملGeophysical modelling with Colombeau functions: Microlocal properties and Zygmund regularity
In global seismology Earth’s properties of fractal nature occur. Zygmund classes appear as the most appropriate and systematic way to measure this local fractality. For the purpose of seismic wave propagation, we model the Earth’s properties as Colombeau generalized functions. In one spatial dimension, we have a precise characterization of Zygmund regularity in Colombeau algebras. This is made ...
متن کاملIntegrated Cosine Functions
In order to the second order Cauchy problem (CP2): x"(t) Ax(t), z(O) z E D(A"), z"(O) y D(A") on a Banach space, Arendt and Kellermann recently introduced the integrated cosine function. This paper is concerned with its basic theory, which contain some properties, perturbation and approximation theorems, the relationship to analytic integrated semigroups, interpolation and extrapolation theorems.
متن کاملThe selfnegadual properties of generalised quadratic Boolean functions
We define and characterise selfnegadual generalised quadratic Boolean functions by establishing a link, both to the multiplicative order of symmetric binary matrices, and also to the Hermitian self-dual F4-linear codes. This facilitates a novel way to classify Hermitian self-dual F4-linear codes.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2016
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2016.06.024