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Identities for Spherical Means

Fritz John
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Fritz John: New York University, Courant Institute of Mathematical Sciences

Chapter Chapter IV in Plane Waves and Spherical Means, 1981, pp 77-89 from Springer

Abstract: Abstract Let f(x) be a continuous function defined in a domain D. (4.1) I ( x , r ) = 1 ω n ∫ Ω ξ f ( x + r ξ ) d ω ξ $$I(x,r)\, = \,\frac{1}{{{\omega _n}}}\,\int\limits_{{\Omega _\xi }} {f(x + r\xi )} \,d{\omega _\xi }$$ .

Keywords: Integral Equation; Plane Wave; Arbitrary Positive Number; Symbolic Equation; Fundamental Identity (search for similar items in EconPapers)
Date: 1981
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DOI: 10.1007/978-1-4613-9453-2_5

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