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• W2895965900 abstract "This article aims to discuss a class of quaternion Fourier integral operators on certain set of generalized functions, leading to a method of discussing various integral operators on various spaces of generalized functions. By employing a quaternion Fourier integral operator on points closed to the origin, we introduce convolutions and approximating identities associated with the Fourier convolution product and derive classical and generalized convolution theorems. Working on such identities, we establish quaternion and ultraquaternion spaces of generalized functions, known as Boehmians, which are more general than those existed on literature. Further, we obtain some characteristics of the quaternion Fourier integral in a quaternion sense. Moreover, we derive continuous embeddings between the classical and generalized quaternion spaces and discuss some inversion formula as well." @default.
• W2895965900 created "2018-10-26" @default.
• W2895965900 creator A5030756029 @default.
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• W2895965900 date "2018-10-22" @default.
• W2895965900 modified "2023-10-14" @default.
• W2895965900 title "Quaternion fourier integral operators for spaces of generalized quaternions" @default.
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• W2895965900 doi "https://doi.org/10.1002/mma.5304" @default.
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