Abstract
A good mathematical model of many devices and instruments is the linear operator. The term “linear device with time-invariant properties” in mathematical language means that it is a linear operator A acting on functions of time and commuting with the shift operator T, that is, \(AT=TA,\) where \(T=T_\tau,\) and \((T_\tau f) (t) = f (t-\tau)\).
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© 2011 Springer-Verlag Berlin Heidelberg
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Zorich, V. (2011). Some examples of functions of very many variables in natural science and technology. In: Mathematical Analysis of Problems in the Natural Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14813-2_4
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DOI: https://doi.org/10.1007/978-3-642-14813-2_4
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14812-5
Online ISBN: 978-3-642-14813-2
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