Hailu Bikila Yadeta

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20222025

most citedDirect sum Decomposition of Spaces of Periodic Functions: $$ \mathbb{P}_n = \bigoplus \limits_{d|n} \ker(Φ_d(E))

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math.CA2022

Analysis of the Differential-Difference Equation $y (x + 1/2) - y (x - 1/2) = y^{'} (x)$

Hailu Bikila Yadeta

In this paper we study some solution techniques of differential-difference equation $y^{'} (x) = y (x + 1/2) - y (x - 1/2),$ first without an initial condition and then with some initia…

math.GM2022★ 1 cited

Decomposition of Spaces of Periodic Functions into Subspaces of Periodic and Antiperiodic Functions and Its Connection to the Rademacher System and the Haar Wavelet Basis

Hailu Bikila Yadeta

We prove that the space $P_{p}$ of $p$ -periodic functions decomposes as the direct sum $P_{p /2} \oplus A P_{p /2}$ , where $P_{p /2}$ denotes…

Analysis of the Differential-Difference Equation y(x+1/2)−y(x−1/2)=y′(x)

Decomposition of Spaces of Periodic Functions into Subspaces of Periodic and Antiperiodic Functions and Its Connection to the Rademacher System and the Haar Wavelet Basis

Analysis of the Differential-Difference Equation $y (x + 1/2) - y (x - 1/2) = y^{'} (x)$