This problem asks to show that a function $$ { f }$$ satisfying the following conditions belongs to the space of absolutely convergent Fourier series $$ { A (\mathbf {T}) }$$, and to find its norm.

In the Victorian period, many Christmas traditions came over to the UK from Germany (hello Father Christmas) and paper chains were one of these. Originally made from old newspapers, carol sheets and ...

In modern machine learning workflows, most signal processing tasks rely on Python's SciPy utilities. However, there is no Java library that replicates SciPy's behavior with comparable completeness and ...

Abstract: A method based on the volume-surface-wire integral equation and precorrected-fast Fourier transform (FFT) method is presented for accurate analysis of probe-fed microstrip antennas on ...

Understanding the fields induced by material inhomogeneities has been central to physics and materials science, with foundational work by Maxwell, Rayleigh, and Einstein. Eshelby’s equivalent ...

This is a parameterizable reflection based FMCW lidar detection model that uses the Open Simulation Interface (OSI) standard. The model receives lidar reflection data calculated in a simulation tool ...

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Abstract: In this paper, we propose an algorithm to compute time-dependent Fourier transform (TDFT) with generalized triangular window. The algorithm recursively computes the TDFT at arbitrary ...

In 1917, the Japanese mathematician Sōichi Kakeya posed what at first seemed like nothing more than a fun exercise in geometry. Lay an infinitely thin, inch-long needle on a flat surface, then rotate ...