scientific article

zbMath0546.44001MaRDI QIDQ3336170

N. Achyeser

Publication date: 1984

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

zbMATH Keywords

Fourier transformorthogonal polynomialstextbookanalytic functionsharmonic functionsinversion formulasmoment problemsmathematical physicsclassical integral transforms

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Laplace transform (44A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Mathematics for nonmathematicians (engineering, social sciences, etc.) (00A06) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Lamé, Mathieu, and spheroidal wave functions (33E10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to integral transforms (44-01)

Related Items (10)

Positive definiteness of a family of functions ⋮ A generalization of Schep's theorem on the positive definiteness of a piecewise linear function ⋮ POSITIVE DEFINITE FUNCTIONS AND SHARP INEQUALITIES FOR PERIODIC FUNCTIONS ⋮ Estimates for sums of moduli of blocks in trigonometric Fourier series ⋮ General compactly supported solution of an integral equation of the convolution type ⋮ On the positive definiteness of some functions related to the Schoenberg problem ⋮ Positive definiteness of complex piecewise linear functions and some of its applications ⋮ Some problems related to completely monotone positive definite functions ⋮ Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space \(L_2(\mathbb{R})\). I ⋮ Best mean-square approximations by entire functions of exponential type and mean \(\nu\)-widths of classes of functions on the line

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