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Does all the well defined product of Hyperfunction satisfy the product rule

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#complex-analysis #distribution-theory #dirac-delta
20
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Convolution of f(-x) with delta

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#convolution #dirac-delta
114
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Sum regularization/ use of generalized functions in Ramanujan master theorem applied to inverse function of $\frac{\sin(x)}x$

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#generating-functions #inverse-function #dirac-delta #regularization #mellin-transform
110
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Can a probability density function be treated as an expectation?

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#probability-theory #measure-theory #statistics #dirac-delta
66
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How to evaluate the indefinite the delta function?

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#dirac-delta
34
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Rewriting the multi-dimensional Dirac delta function

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#dirac-delta
93
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$(f\delta')(\phi)=-(f\phi)'(0)$? Or $-(f\phi')(0)$?

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#functional-analysis #distribution-theory #dirac-delta
202
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Powers of the Dirac Delta "Function"

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#solution-verification #dirac-delta
50
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Decomposing a denominator in terms of principal value

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#limits #contour-integration #dirac-delta #cauchy-principal-value
102
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How to fully understand the definite integral of a Dirac Delta function?

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#calculus #definite-integrals #dirac-delta #delta-method
93
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Integrate the derivative of dirac

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#integration #solution-verification #dirac-delta
25
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Limit of integral of exponentials to delta function

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#calculus #integration #dirac-delta
74
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Dirac delta - how to get this identity?

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#real-analysis #dirac-delta
46
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Multiple change of variables in integral to difference between variables

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#integration #combinatorics #distribution-theory #dirac-delta
80
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Solving two coupled ODEs with delta function sources

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#ordinary-differential-equations #dirac-delta #greens-function

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