Convergence and uniqueness of representations defined by an inversion formula of a multi-component finite generalized integral transform. (Russian) Zbl 0754.44005
In the author’s paper [ibid. 1991, No. 4(347), 57-63 (1991; Zbl 0741.44005)] the finite multicomponent transform is constructed in the class \(L_ 2\) of vector functions. This construction is a generalization of the known transform both in vector and scalar form.
The present paper is devoted to prove the uniqueness and convergence of the inversion formula for this integral transform in \(L_ 2\) norm. It can be used in solving boundary value problems.
The present paper is devoted to prove the uniqueness and convergence of the inversion formula for this integral transform in \(L_ 2\) norm. It can be used in solving boundary value problems.
Reviewer: A.L.Brodskij (Severodonetsk)
MSC:
| 44A40 | Calculus of Mikusiński and other operational calculi |
| 44A15 | Special integral transforms (Legendre, Hilbert, etc.) |
| 42A16 | Fourier coefficients, Fourier series of functions with special properties, special Fourier series |
