{"product_id":"operational-calculus-von-gregors-krabbe","title":"Operational Calculus","description":"Since the publication of an article by G. DoETSCH in 1927 it has been known that the Laplace transform procedure is a reliable sub stitute for HEAVISIDE's operational calculus*. However, the Laplace transform procedure is unsatisfactory from several viewpoints (some of these will be mentioned in this preface); the most obvious defect: the procedure cannot be applied to functions of rapid growth (such as the 2 function tr-+-exp(t)). In 1949 JAN MIKUSINSKI indicated how the un necessary restrictions required by the Laplace transform can be avoided by a direct approach, thereby gaining in notational as well as conceptual simplicity; this approach is carefully described in MIKUSINSKI's textbook \"Operational Calculus\" [M 1]. The aims of the present book are the same as MIKUSINSKI's [M 1]: a direct approach requiring no un-necessary restrictions. The present operational calculus is essentially equivalent to the \"calcul symbolique\" of distributions having left-bounded support (see 6.52 below and pp. 171 to 180 of the textbook \"Theorie des distributions\" by LAURENT SCHWARTZ).\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9781461343943\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9781461343943","offer_id":39417162760285,"sku":"9781461343943","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/679dde7b-44e7-4ae1-8438-eb3badaaec3f.jpg?v=1772082383","url":"https:\/\/shop.autorenwelt.de\/en\/products\/operational-calculus-von-gregors-krabbe","provider":"Autorenwelt Shop","version":"1.0","type":"link"}