Consider a discrete group G and a bounded self-adjoint convolution operator T on l2 (G); let σ (T) be the spectrum of T. The spectral theorem gives a unitary isomorphism U between l2 (G) and a direct ...

Comprehensive introduction to analysis of continuous and discrete-time signals and systems. Linear time-invariant systems, convolution; Fourier series representations of periodic signals; Continuous ...

Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES;), Mathematical ...

The main aim of this project is to accelerate the kernel implementing the convolution operation, a fundamental step in Convolutional Neural Network (CNN) training. The optimization focuses on reducing ...

Abstract: In this paper, a hybrid Discrete Singular Convolution - Finite Difference Frequency Domain (DSCFD) method with high-order accuracy is proposed. The proposed method discretizes the curl ...