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Convolution Transform

Isidore Isaac Hirschman, David Vernon Widder

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Naturwissenschaften allgemein

Beschreibung

The convolution transform includes as special cases such familiar transforms as the Laplace, Fourier-sine, Fourier-cosine, Hankel, Meier, and Weierstrass (or Gauss). As a consequence any general theory about it may serve as a unifying influence for the evergrowing literature concerning integral transforms.

Originally published in 1955.

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Isidore Isaac Hirschman
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Schlagwörter

Convolution, Boundedness, Series (mathematics), Limit (mathematics), Fubini's theorem, Function (mathematics), Fourier transform, Big O notation, Harmonic function, Binary operation, Differential operator, Distribution function, Characteristic function (probability theory), Uniqueness theorem, Bounded function, E8 (mathematics), Equation, Infinite product, Iteration, Derivative, Power series, Entire function, Leibniz integral rule, Special case, Integral transform, Exponential polynomial, Coefficient, Theorem, Uniform convergence, Change of variables, Scientific notation, Laplace transform, Transform theory, Integral equation, Weierstrass transform, Semigroup, Polynomial, Pointwise, Combination, Taylor series, Notation, Rolle's theorem, Rectangle, Two-dimensional space, Operational calculus, Complex analysis, Limit of a sequence, Green's function, Homomorphism, Mathematical induction, Conjecture, Heat equation, Zero of a function, Bounded variation, Calculation, Laurent series