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On cosine families

Rendiconti del Circolo Matematico di Palermo Series 2, 2021
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Rachid Ameziane Hassani   +3 more
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COSINE Implementation Phase: COSINE project officer's view

Computer Networks and ISDN Systems, 1988
Abstract The COSINE Project is conceived in three phases, the Specification Phase lasting from July 1987 to June 1988, the Implementation Phase from January 1989 to December 1991 and the so-called Federative Phase starting in January 1992 and nominally lasting five years.
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On Cosine-Like Arches

American Journal of Mathematics, 1958
Let f (x) be a function possessing derivatives of arbitrarily higl order on an open x-interval (a, b), and let (_1) nD2nf(X) ? 0, where D = d/dx, hold on (a, b) for n = 0, 1,2,. If the trivial case f(x) const. (? 0) is excluded, then, for reasons of convexity, this infinity of inequalities cannot be satisfied on an unbounded interval (a, b), and so it ...
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Cosine Representations of Abelian *-Semigroups and Generalized Cosine Operator Functions

Canadian Journal of Mathematics, 1978
In the following R will denote the real numbers, for a Hilbert space H, B(H) and L(H) will denote the collections of bounded linear operators on H and linear, but not necessarily bounded, operators on H respectively. Cosine Operator Functions, namely functions
Faulkner, G. D., Shonkwiler, R. W.
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A Functional Equation for the Cosine

Canadian Mathematical Bulletin, 1968
It is known [3], [5] that, the complex-valued solutions of(B)(apart from the trivial solution f(x)≡0) are of the form(C)(D)In case f is a measurable solution of (B), then f is continuous [2], [3] and the corresponding ϕ in (C) is also continuous and ϕ is of the form [1],(E)In this paper, the functional equation(P)where f is a complex-valued, measurable
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On the cosine integral

Integral Transforms and Special Functions, 1999
The cosine integral Ci(λx) and its associated functions Ci+(λx) and C(λx) are defined as locally summable functions on the real line and their derivatives are found as distributions. Some convolution products of these distributions and other functions are then found.
Brian Fisher, Fatma AL-Sirehy
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On the Computation of the Discrete Cosine Transform

IEEE Transactions on Communications, 1978
An N -point discrete Fourier transform (DFT) algorithm can be used to evaluate a discrete cosine transform by a simple rearrangement of the input data. This method is about two times faster compared to the conventional method which uses a 2N -point DFT.
Madihally J. Narasimha   +1 more
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Is there life after COSINE?

Computer Networks and ISDN Systems, 1992
Abstract The COSINE Project is concerned with the provision of an Open Systems Infrastructure and Services to the Research community in Europe. It is in the second year of its implementation phase and has provided both network and value added services to the community as well as carrying out a number of development projects to stimulate the use of ...
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On Computing the Discrete Cosine Transform

IEEE Transactions on Computers, 1978
Haralick has shown that the discrete cosine transform of N points can be computed more rapidly by taking two N-point fast Fourier transforms (FFT's) than by taking one 2N-point FFT as Ahmed had proposed. In this correspondence, we show that if Haralick had made use of the fact that the FFT's of real sequences can be computed more rapidly than general ...
Ben-Dau Tseng, William C. Miller
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Directory services and COSINE

Computer Networks and ISDN Systems, 1988
Abstract A Directory is an important building block of a COSINE infrastructure for the European research community. The CCITT X.500 (1988) Recommendations provide a sufficient functional basis for such a COSINE service. Fundamental COSINE requirements have been identified and justify more detailed studies and the initiation of pilot projects.
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