The New Encyclopędia Britannica: L-ZEncyclopędia Britannica, 1992 - 32 pages |
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Page 464
... FUNCTIONS A function f ( z ) is entire ( integral in British terminology ) if it is holomorphic in the finite plane . It is transcendental if it does not reduce to a polynomial . In 1876 Weierstrass showed how to construct an entire ...
... FUNCTIONS A function f ( z ) is entire ( integral in British terminology ) if it is holomorphic in the finite plane . It is transcendental if it does not reduce to a polynomial . In 1876 Weierstrass showed how to construct an entire ...
Page 494
... function equal almost everywhere to a harmonic function . The definition implies that a harmonic function that attains its maximum ( or minimum ) at a point x 。 is con- stant on a neighbourhood . This maximum or minimum principle is a ...
... function equal almost everywhere to a harmonic function . The definition implies that a harmonic function that attains its maximum ( or minimum ) at a point x 。 is con- stant on a neighbourhood . This maximum or minimum principle is a ...
Page 502
L-Z. Function K , the kernel Use of L2 functions Plancherel formula. HARMONIC ANALYSIS AND INTEGRAL TRANSFORMS It usually happens in mathematical analysis that certain given functions are to be operated on , and other functions or numbers ...
L-Z. Function K , the kernel Use of L2 functions Plancherel formula. HARMONIC ANALYSIS AND INTEGRAL TRANSFORMS It usually happens in mathematical analysis that certain given functions are to be operated on , and other functions or numbers ...
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