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Unitary equivalence: a new approach to the Laplace transform and the Hardy operator
2005 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

The thesis consists of three parts. In part one we compose the Laplace transform L with a special involution T on L2(R+) and show that the resulting operators TL and LT are unitary equivalent to multiplication by the gamma function on L2(R). Further, with the unitary equivalence between TL and multiplication by the gamma function we are able to derive the exact constant of the norm of the Laplace transform on L2(R+). We end part one with an estimate for the Laplace transform on LP(R+), 1

Place, publisher, year, edition, pages
Keyword [en]
Physics Chemistry Maths, Mathematics, Laplace transform, Hardy operator, unitary, equivalence
Keyword [sv]
Fysik, Kemi, Matematik
URN: urn:nbn:se:ltu:diva-59010ISRN: LTU-EX--05/329--SELocal ID: f8dcccb8-efd0-4fac-bd9f-d387ba0ce105OAI: diva2:1032398
Subject / course
Student thesis, at least 30 credits
Educational program
Engineering Physics, master's level
Validerat; 20101217 (root)Available from: 2016-10-04 Created: 2016-10-04Bibliographically approved

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