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Composite Cosine Transforms [PDF]
Mathematika, 2005 The cosine transforms of functions on the unit sphere play an important role in convex geometry, the Banach space theory, stochastic geometry and other areas. Their higher-rank generalization to Grassmann manifolds represents an interesting mathematical object useful for applications.
Ournycheva, Elena, Rubin, Boris
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ON COSINE FAMILIES CLOSE TO SCALAR COSINE FAMILIES [PDF]
Journal of the Australian Mathematical Society, 2015 We prove that if two normed-algebra-valued cosine families indexed by a single Abelian group, of which one is bounded and comprised solely of scalar elements of the underlying algebra, differ in norm by less than$1$uniformly in the parametrising index, then these families coincide.
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Steerable Discrete Cosine Transform [PDF]
IEEE Transactions on Image Processing, 2017 In image compression, classical block-based separable transforms tend to be inefficient when image blocks contain arbitrarily shaped discontinuities. For this reason, transforms incorporating directional information are an appealing alternative. In this paper, we propose a new approach to this problem, namely a discrete cosine transform (DCT) that can ...
FRACASTORO, GIULIA +2 more
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Journal of Fourier Analysis and Applications9 pages, 1 ...
Shilin Dou +4 more
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We find the area between $\cos^p x$ and $\cos^p nx$ as $n$ heads to infinity, and we establish a connection between these limiting values and the exponential generating function for $\arcsin x/(1-x)$ at sequence number A296726 on the OEIS.
Dombrowski, Muhammad Adam +1 more
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Almost-distribution cosine functions and integrated cosine functions [PDF]
Studia Mathematica, 2005 Operator valued cosine functions were introduced in the 1950s to solve well-posed abstract second order Cauchy problems. Later, in analogy to operator semigroup theory, the strong continuity conditions were weakened to be able to treat also ill-posed problems.
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On Multivalued Cosine Families [PDF]
Journal of Applied Analysis, 2007 The author gives the following result: Let \(X\) be a real Banach space and let \(K\) be a closed convex cone in \(X\) such that \(\text{int\,}K\neq\emptyset\). Assume that \(\{F_t: t\in\mathbb{R}\}\) is a regular cosine family of continuous linear multifunctions \(F_t: K\to cc(X)\) and \(x\in F_t(x)\) for all \(x\in K\) and \(t\in\mathbb{R}\).
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The Discrete Cosine Transform [PDF]
SIAM Review, 1999 In this paper the author derives the Discrete Cosine Transform (DCT) bases as eigenvectors of a symmetric second-difference matrix with certain boundary conditions. The type of boundary condition (Dirichlet or Neumann, centered at a meshpoint or a midpoint) determines the applications that are appropriate for each transform.
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The Journal of the Acoustical Society of America, 1968 Results of the masking of one sinusoid by brief pulses of another sinusoid are reported as a function of the phase of the masking pulse. In one case, the brief (10-msec) masker is presented as a sine pulse; in the other case, the masker is presented as a sine pulse.
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