منابع مشابه
Pexiderized functional equations for vector products and quaternions
The purpose of the present paper is to solve the pexiderized versions of functional equations investigated by B. Nyul and G. Nyul [2], raised by the connection between products of quaternions and products of three-dimensional vectors. 1 Quaternionic products and vector products Let H = {r+ x1i+ x2j + x3k | r, x1, x2, x3 ∈ R} be the skew field of quaternions with the basic relations i2 = j2 = k2...
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ion operator; this is because [x]M is an abbreviation for a term in which M and its subterms do not occur. On the other hand, in the natural reduction for lambda-calculus, replacements inside the scope of an abstraction are extremely natural. Thus, what is now called λβ -reduction satisfies a scheme which weak reduction does not, namely (ξ): if M reduces to N, then λx.M reduces to λx.N. (The sa...
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We develop a functional calculus for d-tuples of non-commuting elements in a Banach algebra. The functions we apply are free analytic functions, that is nc functions that are bounded on certain polynomial polyhedra.
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One of the interesting developments in spectral theory recently has been the application of a new formula for a function j{H) of a self-adjoint operator H by Helffer and Sjostrand [8]. This formula, equation (5) below, depends upon the use of almost analytic extensions of functions initially defined on the real line, an idea due to Hormander [10; 11, p. 63]. One of its main advantages is that i...
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ژورنال
عنوان ژورنال: Symmetry
سال: 2019
ISSN: 2073-8994
DOI: 10.3390/sym11080953