An integral transform Hy is defined which reduces to the ordinary Hilbert transform H0 when y=0, and is useful in some hydrodynamic applications. Although Hy does not seem to be explicitly invertible for y≠0 (in contrast to H0-1=-H0), it is readily invertible numerically for y less than a certain precision-dependent bound
AbstractSuppose f ϵ D′ and αv is a partition of unity on R, subordinated to the family of intervals ...
We extend the classical theory of singular Sturm-Liouville boundary value problems on the half line,...
Recently I have given a generalisation of the Laplace integral Φ (8)= ∫<SUP>∞</SUP> <SUB>0</SUB> e <...
An integral transform Hy is defined which reduces to the ordinary Hilbert transform H0 when y=0, and...
An integral transform Hy is defined which reduces to the ordinary Hilbert transform H0 when y=0, and...
An integral transform Hy is defined which reduces to the ordinary Hilbert transform H0 when y=0, and...
An integral transform Hy is defined which reduces to the ordinary Hilbert transform H0 when y=0, and...
We construct a new method for approximating Hilbert transforms and their inverse throughout the comp...
The Hilbert transform is an important tool in both pure and applied mathematics. It is largely used ...
AbstractIn this note we give a procedure for inverting the integral transform f(x) = ∫0∞ k(xt) φ(t) ...
ABSTRACT. The paper is devoted to study the inversion of the integral transform (Hf)(x) fo H, ’ [xt ...
ABSTRACT. The paper is devoted to study the inversion of the integral transform (Hf)(x) fo H, ’ [xt ...
ABSTRACT. The paper is devoted to study the inversion of the integral transform (Hf)(x) fo H, ’ [xt ...
AbstractA generalized integral similar to integrability B is used to study the Hilbert transform onX...
AbstractIntegral equations of the type (∗) ∫0xK(xy)f(y)(dyy)=g(x),x≧ where g is given and f is an un...
AbstractSuppose f ϵ D′ and αv is a partition of unity on R, subordinated to the family of intervals ...
We extend the classical theory of singular Sturm-Liouville boundary value problems on the half line,...
Recently I have given a generalisation of the Laplace integral Φ (8)= ∫<SUP>∞</SUP> <SUB>0</SUB> e <...
An integral transform Hy is defined which reduces to the ordinary Hilbert transform H0 when y=0, and...
An integral transform Hy is defined which reduces to the ordinary Hilbert transform H0 when y=0, and...
An integral transform Hy is defined which reduces to the ordinary Hilbert transform H0 when y=0, and...
An integral transform Hy is defined which reduces to the ordinary Hilbert transform H0 when y=0, and...
We construct a new method for approximating Hilbert transforms and their inverse throughout the comp...
The Hilbert transform is an important tool in both pure and applied mathematics. It is largely used ...
AbstractIn this note we give a procedure for inverting the integral transform f(x) = ∫0∞ k(xt) φ(t) ...
ABSTRACT. The paper is devoted to study the inversion of the integral transform (Hf)(x) fo H, ’ [xt ...
ABSTRACT. The paper is devoted to study the inversion of the integral transform (Hf)(x) fo H, ’ [xt ...
ABSTRACT. The paper is devoted to study the inversion of the integral transform (Hf)(x) fo H, ’ [xt ...
AbstractA generalized integral similar to integrability B is used to study the Hilbert transform onX...
AbstractIntegral equations of the type (∗) ∫0xK(xy)f(y)(dyy)=g(x),x≧ where g is given and f is an un...
AbstractSuppose f ϵ D′ and αv is a partition of unity on R, subordinated to the family of intervals ...
We extend the classical theory of singular Sturm-Liouville boundary value problems on the half line,...
Recently I have given a generalisation of the Laplace integral Φ (8)= ∫<SUP>∞</SUP> <SUB>0</SUB> e <...