The Dirac Delta Function and Delta Sequences

Ram P. Kanwal
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Ram P. Kanwal: The Pennsylvania State University, Department of Mathematics

Chapter Chapter 1 in Generalized Functions Theory and Technique, 1998, pp 1-17 from Springer

Abstract: Abstract The Heaviside function H (x) is defined to be equal to zero for every negative value of x and to unity for every positive value of x, that is, 1 $$H(x)=\left\{ \begin{matrix}0, & x 0. \\ \end{matrix}\right\}$$ It has a jump discontinuity at x = 0 and is also called the unit step function. Its value at x = 0 is usually taken to be 1/2. Sometimes it is taken to be a constant c,0

Keywords: Delta Function; Dirac Delta Function; Heaviside Function; Jump Discontinuity; Unit Charge (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-1-4684-0035-9_1

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