scientific article; zbMATH DE number 3028224

Publication date: 1937

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Fourier transform Laplace transform Mellin transform convergence integral transforms trigonometric integrals summability conjugate functions Hilbert transforms self-reciprocal function general transforms Fourier double integrals Fourier simple integrals Fourier transforms in $L, L_2, L_p$

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces (42-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to integral transforms (44-01)

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V: self-reciprocal functions, Continuation of L$^p$-isometries, Index transforms associated with Bessel and Lommel functions, Reflectionless potentials and soliton series of the KdV equation, On rapidly convergent series for the Riemann zeta-values via the modular relation, A fractal approach for the statistics of extremes with application to evolutionary biology, The \textit{q-j}$_\alpha$ Bessel function, Index transforms associated with products of Whittaker's functions, Inversion and structure formulae for a generalized Laplace transform, Solitary internal waves in continuously stratified fluids of great depth, Multipliers of Fourier transforms and series on $L^ 1$, Blue sky and hot piles: The evolution of radiative transfer theory from atmospheres to nuclear reactors, On a nonhomogeneous Burgers' equation, The Inversion of Convolution Transforms by Differential Operators, Truncated generalized coherent states, Generalization of Titchmarsh's theorem for the modified Whittaker transform, The Inversion of the Generalized Fourier Transform By Abelian Summability, Properties and applications of a conjugate transform on Schatten classes, A Numerical investigation of crack behavior near a fixed boundary using singular integral equation and finite element methods, Weighted integrability results for first Hankel-Clifford transform, Dual Boas type results for the quaternion transform and generalized Lipschitz spaces, Radon transform with Gaussian beam: theoretical and numerical reconstruction scheme, Weighted integrability of Fourier–Jacobi transforms, Boas-type results for Mellin transform, Polyelement functional equations related to the Carleman kernel and their applications, Dual Boas-type theorems and weighted integrability results for second Hankel-Clifford transform, Elliptic problems and integral equations in spaces of different smoothness in different variables, Yang-Fourier transforms of Lipschitz local fractional continuous functions, Boas type and Titchmarsh type theorems for generalized Fourier-Bessel transform, Generalized Lipschitz conditions for absolute convergence of weighted Jacobi-Dunkl series, Boas type results for two-sided quaternion Fourier transform and uniform Lipschitz spaces, Die Anwendung des Operatorenkalküls von Jan Mikusiński auf lineare Integralgleichungen vom Faltungstypus, The 𝐺-functions as unsymmetrical Fourier kernels. III, On Bochner transforms, Paley-Wiener-type theorem for a class of integral transforms arising from a singular Dirac system, On an inversion formula, Some characterizations of Fourier transforms, IV, Analysis of a Generalized Dispersive Model Coupled to a DGTD Method with Application to Nanophotonics, A mathematical analysis of the GW0 method for computing electronic excited energies of molecules, A criterion for a two-sided integral transform to be unitary, On the pairing structure of the vacuum induced by a magnetic field in $2+1$-dimensional Dirac field theory, Spectral analysis of the Pekeris operator in the theory of acoustic wave propagation in shallow water, Stieltjes moments of entire functions of exponential type, On an integral transform, The mathematical physics of rainbows and glories, Théorie de la dualité et analyse harmonique dans les groupes abéliens localement compacts, Some Hilbert Spaces of Entire Functions. III, On the Extreme Eigenvalues of Toeplitz Matrices, The anomalous skin effect and the reflectivity of metals, Spectral analysis of the Pekeris operator in the theory of acoustic wave propagation in shallow water, Chain Transforms, The evaluation of integrals containing a parameter, New convolutions associated with the Mellin transform and their applications in integral equations, Neumann Series of Bessel Functions, A method for solving general singular equations and its application, The Mean Convergence of Orthogonal Series. II, The Behavior at Infinity of Certain Convolution Transforms, Sums Representing Fourier Transforms