Abstract In this paper, an attempt is being made to investigate a class of fractional Fourier integral operators on classes of function spaces known as ultraBoehmians. We introduce a convolution product and establish a convolution theorem as a product of different functions. By employing the convolution theorem and making use of an appropriate class of approximating identities, we provide necessary axioms and define function spaces where the fractional Fourier integral operator is an isomorphism connecting the different spaces. Further, we provide an inversion formula and obtain various properties of the cited integral in the generalized sense.

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function spaces inversion formula fractional fourier integral operators isomorphism cited integral generalized sense convolution product approximating identities convolution theorem

Shrideh K. Al-Omari,.A fractional Fourier integral operator and its extension to classes of function spaces. 2018 (1),.

Shrideh K. Al-Omari,"A fractional Fourier integral operator and its extension to classes of function spaces" 2018

Shrideh K. Al-Omari,"A fractional Fourier integral operator and its extension to classes of function spaces"