Octonion Special Affine Fourier Transform: Pitt’s Inequality and the Uncertainty Principles

The special affine Fourier transform (SAFT) is an extended version of the classical and incorporates various signal processing tools which include transforms, fractional transform, linear canonical other related transforms. This paper aims to introduce a novel octonion (O−SAFT) establish several classes uncertainty inequalities for proposed transform. We begin by studying norm split energy conservation properties (O−SAFT). Afterwards, we generalize relations Pitt’s inequality, Heisenberg–Weyl logarithmic Hausdorff–Young local inequalities. Finally, provide illustrative example some possible applications