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))

1 citations · 2 across the 10 of their papers we have counts for

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math.GM2025

Initial Value Problems for Some Functional Equations and the PENLP

Hailu Bikila Yadeta

In this paper, we study initial value problems for a class of functional equations. We introduce the concept of appropriate initial sets to enable the unique extension of an initia…

math.GM2024

Equality of the Casoratian and the Wronsikian for some Sets of Functions and an Application in Difference Equations

Hailu Bikila Yadeta

The Casoratian determinants are very important in the study of linear difference equation, just as the Wronskian determinants are very important in the study of linear ordinary dif…

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…