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Formula:10468

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Digital Library of Mathematical Functions ID 35.2.E3

f 1 * f 2 ⁒ ( 𝐓 ) = ∫ 𝟎 < 𝐗 < 𝐓 f 1 ⁒ ( 𝐓 - 𝐗 ) ⁒ f 2 ⁒ ( 𝐗 ) ⁒ d 𝐗 . subscript 𝑓 1 subscript 𝑓 2 𝐓 subscript 0 𝐗 𝐓 subscript 𝑓 1 𝐓 𝐗 subscript 𝑓 2 𝐗 𝐗 {\displaystyle{\displaystyle f_{1}*f_{2}(\mathbf{T})=\int\limits_{\boldsymbol{% {0}}<\mathbf{X}<\mathbf{T}}f_{1}(\mathbf{T}-\mathbf{X})f_{2}(\mathbf{X})% \mathrm{d}\mathbf{X}.}}


Constraint(s)

Symbols List

  • d x π‘₯ {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • 𝐓 𝐓 {\displaystyle{\displaystyle\mathbf{T}}} : space of real symmetric matrices
  • 𝐗 𝐗 {\displaystyle{\displaystyle\mathbf{X}}} : real symmetric matrix
  • f ⁒ ( 𝐗 ) 𝑓 𝐗 {\displaystyle{\displaystyle f(\mathbf{X})}} : real symmetric matrix
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This page was last edited on 28 January 2024, at 10:02.
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