Research output: Working paper › Research

**Properties of d'Alembert functions.** / Stetkær, Henrik.

Research output: Working paper › Research

Stetkær, H 2007 'Properties of d'Alembert functions' Department of Mathematical Sciences , University of Aarhus, Århus. <http://www.imf.au.dk/publs?id=657>

Stetkær, H. (2007). *Properties of d'Alembert functions*. Department of Mathematical Sciences , University of Aarhus. http://www.imf.au.dk/publs?id=657

Stetkær H. 2007. Properties of d'Alembert functions. Århus: Department of Mathematical Sciences , University of Aarhus.

Stetkær, Henrik *Properties of d'Alembert functions*. Århus: Department of Mathematical Sciences , University of Aarhus. 2007., 22 p.

Stetkær H. Properties of d'Alembert functions. Århus: Department of Mathematical Sciences , University of Aarhus. 2007.

Stetkær, Henrik. / **Properties of d'Alembert functions**. Århus : Department of Mathematical Sciences , University of Aarhus, 2007.

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title = "Properties of d'Alembert functions",

abstract = "We study properties of solutions of d'Alembert's functional equations on a topological group . For nilpotent groups and for connected, solvable Lie groups , we prove that has the form , , where is a continuous homomorphism of into the multiplicative group . We give conditions on and/or for equality in the inclusion for all .",

author = "Henrik Stetk{\ae}r",

year = "2007",

language = "English",

publisher = "Department of Mathematical Sciences , University of Aarhus",

type = "WorkingPaper",

institution = "Department of Mathematical Sciences , University of Aarhus",

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T1 - Properties of d'Alembert functions

AU - Stetkær, Henrik

PY - 2007

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N2 - We study properties of solutions of d'Alembert's functional equations on a topological group . For nilpotent groups and for connected, solvable Lie groups , we prove that has the form , , where is a continuous homomorphism of into the multiplicative group . We give conditions on and/or for equality in the inclusion for all .

AB - We study properties of solutions of d'Alembert's functional equations on a topological group . For nilpotent groups and for connected, solvable Lie groups , we prove that has the form , , where is a continuous homomorphism of into the multiplicative group . We give conditions on and/or for equality in the inclusion for all .

M3 - Working paper

BT - Properties of d'Alembert functions

PB - Department of Mathematical Sciences , University of Aarhus

CY - Århus

ER -