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HeavisideLambda

HeavisideLambda[x]
represents the triangle distribution Lambda(x) which is nonzero for |x|<1.
HeavisideLambda[x1, x2, ...]
represents the multidimensional triangle distribution Lambda(x_1,x_2,...) which is nonzero for |x_i|<1.
  • HeavisideLambda can be used in derivatives, integrals, integral transforms and differential equations.
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Basic Examples   (2)
Plot in one and two dimensions:
Higher derivatives involve DiracDelta distributions:
Plot in one and two dimensions:
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Higher derivatives involve DiracDelta distributions:
In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=
Scope   (3)
HeavisideLambda threads over lists:
FourierTransform of HeavisideLambda is a squared Sinc function:
TraditionalForm typesetting:
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