Mellin Transforms on Binary Fields
Copyright policy )Mellin Transforms on Binary Fields
Some boundedness and inversion results are proved for a large class of operators on binary fields, i.e., on 2-series and 2-adic fields. As a special case, it is obtained, that the Mellin transform on any binary field can be extended to a bounded linear isometry on \(L_2\). An explicit formula for the inverse Mellin transform is given and it is shown that the inversion holds when the Mellin transform is integrable.
- Tennessee State University United States
- University of Tennessee at Knoxville United States
- Eötvös Loránd University Hungary
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), inversion, 2-series field, Applied Mathematics, boundedness, binary field, 2-adic field, Mellin transform
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), inversion, 2-series field, Applied Mathematics, boundedness, binary field, 2-adic field, Mellin transform
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