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arXiv · 2511.09343

Abelian and Tauberian results for the fractional Hankel transform in Zemanian-type spaces

Sanja Atanasova·Smiljana Jakšić·Snježana Maksimović·Stevan Pilipović
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Abstract

In this paper, we first present an Abelian-type theorem for the fractional Hankel transform (FrHT) within Zemanian generalized function spaces. To prove this, we show that these spaces have the Montel property. Next, we construct a new Zemanian-type space as a projective limit of suitable Banach spaces. Its dual is the largest known distribution space admitting the FrHT. Finally, within this extended setting, we establish new Abelian and Tauberian-type results for the FrHT.

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Sanja Atanasova, Smiljana Jakšić, Snježana Maksimović, Stevan Pilipović. 2025-11-12. Abelian and Tauberian results for the fractional Hankel transform in Zemanian-type spaces. https://arxiv.org/abs/2511.09343

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