scientific article; zbMATH DE number 781779
From MaRDI portal
Publication:4841241
zbMath0845.44001MaRDI QIDQ4841241
Publication date: 6 August 1995
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
monographconvolutionHankel transformfractional calculusKontorovich-Lebedev transformMehler-Fock transforminversion formulasFox's \(H\)-functionMeijer's \(G\)-functionMellin convolutionindex transformsLebedev-Skalskaya transformOlevskii transformParseval's inequalityMellin-Barnes type integral representations\(_ pF_ q\)
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Research exposition (monographs, survey articles) pertaining to integral transforms (44-02)
Related Items (only showing first 100 items - show all)
Upper bounds and asymptotic expansion for Macdonald's function and the summability of the Kontorovich-Lebedev integrals ⋮ Tikhonov regularisation for the Weierstrass transform associated with the Kontorovich–Lebedev transform ⋮ On the index integral transformation with Nicholson's function as the kernel ⋮ The convolution for the Kontorovich-Lebedev transform revisited ⋮ Integral transformations by the index of Lommel's function ⋮ Generalization of Titchmarsh's theorem for the modified Whittaker transform ⋮ Generalized convolution for the Kontorovich-Lebedev, Fourier transforms and applications to acoustic fields ⋮ On the product formula and convolution associated with the index Whittaker transform ⋮ Some identities for Mellin, Kontorovich-Lebedev transforms with applications ⋮ Discrete Fourier-Jacobi transform ⋮ Lebedev–Skalskaya transforms and allied operators on certain function spaces ⋮ Reverse convolution inequalities for Lebedev-Skalskaya transforms ⋮ On Especial Cases of Boas-Buck-Type Polynomial Sequences ⋮ Whittaker-Stockwell transform and Tikhonov regularization problem ⋮ On exact solutions of Hankel equations ⋮ Discrete index transforms with Bessel and modified Bessel functions ⋮ The Kontorovich--Lebedev integral transformation with a Hankel function kernel in a space of generalized functions of doubly exponential descent ⋮ The spectral expansion approach to index transforms and connections with the theory of diffusion processes ⋮ Index integral transformations of Titchmarsh type ⋮ The Mehler-Fock-Clifford transform and pseudo-differential operator on function spaces ⋮ Composition of wavelet transforms and wave packet transform involving Kontorovich-Lebedev transform ⋮ An index integral and convolution operator related to the kontorovich-lebedev and mehler-Fock transforms ⋮ New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic pdes ⋮ On some Rajchman measures and equivalent Salem's problem ⋮ Combinations of cross-products of Bessel functions, associated addition formulas and biorthogonal systems ⋮ On Birman's sequence of Hardy-Rellich-type inequalities ⋮ Localization operators and scalogram in the framework of Mehler-Fock wavelet transform ⋮ Two versions of pseudo-differential operators involving the Kontorovich-Lebedev transform in \(L^{2}(\mathbb{R}_{+};\frac{dx}{x})\) ⋮ Markov processes related to the stationary measure for the open KPZ equation ⋮ A convolution operator related to the generalized Mehler-Fock and Kontorovich-Lebedev transforms ⋮ The generalized Kontorovich-Lebedev transform and associated operators ⋮ Composition and commutator of pseudo-differential operators in the framework of zero-order Mehler-Fock transform domain ⋮ On the symbol calculus for multidimensional Hausdorff operators ⋮ Lebedev-Skalskaya transform related continuous wavelet transform ⋮ The integro‐differential operators of infinite order on the half line related to the Legendre operator ⋮ Besov‐type spaces associated with Lebedev‐Skalskaya wavelet transform ⋮ Variance of the $k$-fold divisor function in arithmetic progressions for individual modulus ⋮ Kontorovich–Lebedev wavelet transform on Besov type spaces ⋮ On the Fourier-sine and Kontorovich-Lebedev generalized convolution transforms and their applications ⋮ On the boundedness of fractional maximal and Riesz potential operators associated with Kontorovich–Lebedev transform ⋮ Discrete Mehler–Fock transforms ⋮ Index transforms with Weber-type kernels ⋮ The convolution for zero-order Mehler–Fock transform and pseudo-differential operator ⋮ A class of index transforms generated by the Mellin and Laplace operators ⋮ Wavelet transforms associated with the Kontorovich–Lebedev transform ⋮ On the Kontorovich-Lebedev transformation ⋮ Barnes-Ismagilov integrals and hypergeometric functions of the complex field ⋮ Fourier–Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in L2 metric: Jackson's type direct theorems ⋮ A convolution for the Hankel-Kontorovich-Lebedev transformation ⋮ Some connections between the spherical and parabolic bases on the cone expressed in terms of the Macdonald function ⋮ On the orthogonality and convolution orthogonality via the Kontorovich-Lebedev transform ⋮ Fourier coefficients of \(\mathrm{GL}(N)\) automorphic forms in arithmetic progressions ⋮ On a polynomial sequence associated with the Bessel operator ⋮ The Kontorovich-Lebedev transform and Sobolev type space ⋮ Localizable particles in the classical limit of quantum field theory ⋮ Index transforms with the squares of Kelvin functions ⋮ Discrete Lebedev's index transforms ⋮ \(L_{2}\)-boundedness of the gamma-product transform ⋮ Lebedev type index transforms with the squares of the associated {L}egendre functions ⋮ A pair of commuting hypergeometric operators on the complex plane and bispectrality ⋮ A modified and a finite index Weber transforms ⋮ The Fourier-Stieltjes transform of Minkowskis \(?(x)\) function and an affirmative answer to Salem's problem ⋮ On Some Integral Properties of Modified Bessel Functions ⋮ A class of integral equations and index transformations related to the modified and incomplete Bessel functions ⋮ Weighted \(L^p\) inequalities for a class of integral operators including the classical index transforms ⋮ On the least values of \(L_{p}\)-norms for the Kontorovich--Lebedev transform and its convolution ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the reverse convolution inequalities for the Kontorovich-Lebedev, Fourier cosine transforms and applications ⋮ Spectral theory of discontinuous functions of self-adjoint operators and scattering theory ⋮ Equivalence of K-functionals and modulus of smoothness constructed by generalized Jacobi transform ⋮ On particle-size distribution of convex similar bodies in \({\mathbb{R}}^3\) ⋮ Discrete index Whittaker transforms ⋮ Discrete Kontorovich-Lebedev transforms ⋮ \(L_{\alpha }^p\)-boundedness of the pseudo-differential operators associated with the Kontorovich-Lebedev transform ⋮ Fourier–Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in L2 metric: Nikol'skii–Besov type function spaces ⋮ Lipschitz–Hankel identities and integral representations of toroidal functions ⋮ Discrete Lebedev–Skalskaya transforms ⋮ On the stabilization of the inversion of some Kontorovich-Lebedev like integral transforms ⋮ Index transforms with the product of the associated Legendre functions ⋮ A class of polynomials and discrete transformations associated with the Kontorovich–Lebedev operators ⋮ Zero-order Mehler-Fock transform and Sobolev-type space ⋮ Discrete index transformations with Bessel and Lommel functions ⋮ The convolution product is for exponential kernels transforms. Composition is suggested for other transforms ⋮ Lebedev–Skalskaya transforms on certain function spaces and associated pseudo-differential operators ⋮ On the orthogonality of the MacDonald's functions ⋮ Boundedness properties for a class of integral operators including the index transforms and the operators with complex Gaussian kernels ⋮ The Titchmarsh integral transformation by the index of a Bessel function ⋮ An operational calculus for a Mehler-Fock type index transform on distributions of compact support ⋮ Properties of index transforms in modeling of nanostructures and plasmonic systems ⋮ Boundedness of integral operators associated with the Kontorovich–Lebedev transform in the Lebesgue spaces type ⋮ \(L_p\)-boundedness of general index transforms ⋮ Lévy processes with respect to the Whittaker convolution ⋮ Legendre functions, related Lebedev-Skalskaya transforms pairs and associated operators ⋮ Localization operators associated with the Kontorovich-Lebedev wavelet transform ⋮ Unnamed Item ⋮ On the generalized Lebedev index transform ⋮ Index transforms associated with products of Whittaker's functions ⋮ On a ℂ2-valued integral index transform and bilateral hypergeometric series ⋮ Integrability of the Fourier–Jacobi transform of functions satisfying Lipschitz and Dini–Lipschitz-type estimates
This page was built for publication:
