Abstract
Let R := ε′(R_) denote the ring (algebra) of distributions having compact support in (−∞, 0], p,q ∈ R, and let \( \hat p,\hat q \) denote their (two-sided) Laplace transforms. Notice that by the well known Paley-Wiener theorem [2] they are entire functions of exponential type.
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© 1999 Springer-Verlag London Limited
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Yamamoto, Y. (1999). Coprimeness of factorizations over a ring of distributions. In: Blondel, V., Sontag, E.D., Vidyasagar, M., Willems, J.C. (eds) Open Problems in Mathematical Systems and Control Theory. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0807-8_52
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DOI: https://doi.org/10.1007/978-1-4471-0807-8_52
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