Special Affine Fourier Transform on Tempered Distribution and Its Application
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DOI: 10.1002/mma.10657
Abstract: The main aim of this work is to develop a theoretical framework for generalized pseudo‐differential operators involving the special affine Fourier transform (SAFT), associated with a symbol δ(μ,η)$$ \delta \left(\mu, \eta \right) $$ . Some… read more here.
Keywords: special affine; fourier transform; generalized pseudo; affine fourier ... See more keywords
Direct limits of generalized pseudo-effect algebras with the Riesz decomposition properties
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DOI: 10.1007/s00500-018-3121-1
Abstract: In this paper, we focus on direct limits and inverse limits in the category with generalized pseudo-effect algebras (GPEAs for short) as objects and GPEA-morphisms as morphisms. We show that direct limits exist in the… read more here.
Keywords: pseudo effect; direct limits; riesz decomposition; generalized pseudo ... See more keywords
Toeplitz operators on the Hardy space with generalized pseudo-homogeneous symbols
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DOI: 10.1080/17476933.2021.1921757
Abstract: In the paper we develop the Gelfand theory for a new class of commutative Banach algebras generated by Toeplitz operators both in the Bergman and the Hardy space cases. We introduce the so-called generalized pseudo-homogeneous… read more here.
Keywords: generalized pseudo; toeplitz operators; pseudo homogeneous; hardy space ... See more keywords