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Relevant bibliographies by topics / Convolution Integral

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Journal articles

Academic literature on the topic 'Convolution Integral'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 February 2022

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Journal articles on the topic "Convolution Integral"

1

PAP, ENDRE, and IVANA ŠTAJNER. "PSEUDO-CONVOLUTION BASED ON IDEMPOTENT OPERATION AS LIMIT OF g-CONVOLUTION." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 07, no. 06 (1999): 615–29. http://dx.doi.org/10.1142/s0218488599000520.

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Operation with functions known as pseudo-convolution and its generalization as well as theirs basic properties has been presented. Then, it has been proved that pseudo-convolution which core is pseudo-integral based on max or min decomposable measure can be obtained as limit of g-convolutions, i.e., pseudo-convolutions with pseudo-integrals based on ⊕-decomposable measures where ⊕ is generated pseudo-addition, as their cores.

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2

Korotkov, V. B. "Convolution Integral Operators." Siberian Mathematical Journal 59, no. 4 (2018): 677–80. http://dx.doi.org/10.1134/s0037446618040092.

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3

Pavlov, E. A. "Integral convolution operators." Mathematical Notes of the Academy of Sciences of the USSR 38, no. 1 (1985): 554–56. http://dx.doi.org/10.1007/bf01137467.

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4

Kılıçman, Adem. "On the Fresnel sine integral and the convolution." International Journal of Mathematics and Mathematical Sciences 2003, no. 37 (2003): 2327–33. http://dx.doi.org/10.1155/s0161171203211510.

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The Fresnel sine integralS(x), the Fresnel cosine integralC(x), and the associated functionsS+(x), S−(x), C+(x), andC−(x)are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel sine integral and its associated functions withx+r, xrare evaluated.

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5

Kiliçman, Adem, and Brian Fisher. "On the Fresnel integrals and the convolution." International Journal of Mathematics and Mathematical Sciences 2003, no. 41 (2003): 2635–43. http://dx.doi.org/10.1155/s0161171203211522.

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The Fresnel cosine integralC(x), the Fresnel sine integralS(x), and the associated functionsC+(x),C−(x),S+(x), andS−(x)are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel cosine integral and its associated functions withx+randxrare evaluated.

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6

Zöckler, Malte, Detlev Stalling, and Hans-Christian Hege. "Parallel line integral convolution." Parallel Computing 23, no. 7 (1997): 975–89. http://dx.doi.org/10.1016/s0167-8191(97)00039-2.

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7

Peleshenko, B. I., and V. A. Katan. "On integral convolution operators." Mathematical Notes 66, no. 4 (1999): 451–54. http://dx.doi.org/10.1007/bf02679095.

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8

Al-Omari, Shrideh K. Q., and Dumitru Baleanu. "Convolution theorems associated with some integral operators and convolutions." Mathematical Methods in the Applied Sciences 42, no. 2 (2018): 541–52. http://dx.doi.org/10.1002/mma.5359.

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9

Margrave, Gary F. "Theory of nonstationary linear filtering in the Fourier domain with application to time‐variant filtering." GEOPHYSICS 63, no. 1 (1998): 244–59. http://dx.doi.org/10.1190/1.1444318.

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A general linear theory describes the extension of the convolutional method to nonstationary processes. This theory can apply any linear, nonstationary filter, with arbitrary time and frequency variation, in the time, Fourier, or mixed domains. The filter application equations and the expressions to move the filter between domains are all ordinary Fourier transforms or generalized convolutional integrals. Nonstationary transforms such as the wavelet transform are not required. There are many possible applications of this theory including: the one‐way propagation of waves through complex media,

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10

Selvaggi, Jerry P., and Jerry A. Selvaggi. "The Application of Real Convolution for Analytically Evaluating Fermi-Dirac-Type and Bose-Einstein-Type Integrals." Journal of Complex Analysis 2018 (May 6, 2018): 1–8. http://dx.doi.org/10.1155/2018/5941485.

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The Fermi-Dirac-type or Bose-Einstein-type integrals can be transformed into two convergent real-convolution integrals. The transformation simplifies the integration process and may ultimately produce a complete analytical solution without recourse to any mathematical approximations. The real-convolution integrals can either be directly integrated or be transformed into the Laplace Transform inversion integral in which case the full power of contour integration becomes available. Which method is employed is dependent upon the complexity of the real-convolution integral. A number of examples ar

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