Ossification
发表于 2025-3-25 06:51:56
ated applications in various fields of science and engineering. It is a generalization of ordinary differentiation and integration to arbitrary (non-integer) order. The fractional derivative has been used in various physical problems, such as frequency-dependent damping behavior of structures, biolo
Jubilation
发表于 2025-3-25 10:37:51
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Synapse
发表于 2025-3-25 12:40:28
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钱财
发表于 2025-3-25 16:54:21
Fourier Series,agation. Section 1.2 introduces some basic notions such as Fourier coefficients and Fourier series of a 2.-periodic function. The convolution of 2.-periodic functions is handled in Sect. 1.3. Section 1.4 presents main results on the pointwise and uniform convergence of Fourier series. For a 2.-perio
搜集
发表于 2025-3-25 21:39:19
Fourier Transforms,ned on the Banach space .. The main properties of the Fourier transform are handled, such as the Fourier inversion formula and the convolution property. Then, in Sect. 2.2, the Fourier transform is introduced as a bijective mapping of the Hilbert space . onto itself by the theorem of Plancherel. The
温室
发表于 2025-3-26 02:36:47
Discrete Fourier Transforms,ation of Fourier coefficients, Fourier transforms or trigonometric interpolation, lead to the DFT. We also present barycentric formulas for interpolating trigonometric polynomials. In Sect. 3.2, we study the basic properties of the Fourier matrix and of the DFT. In particular, we consider the eigenv
可行
发表于 2025-3-26 06:44:27
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Allergic
发表于 2025-3-26 11:43:44
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PET-scan
发表于 2025-3-26 16:11:08
Numerical Applications of DFT,nal interpolation by translates .(⋅ −.) with ., where . is a compactly supported, continuous function. In this approximation method, the cardinal Lagrange function is of main interest. Applying this technique, we compute the multidimensional Fourier transform by the method of attenuation factors. Th
丰富
发表于 2025-3-26 19:54:30
Prony Method for Reconstruction of Structured Functions,der the parameter estimation problem, where the classical Prony method and its relatives are described. In Sect. 10.2, we study frequently used methods for solving the parameter estimation problem, namely MUSIC (MUltiple Signal Classification), APM (Approximate Prony Method), and ESPRIT (Estimation