Results 251 to 260 of about 2,326,560 (293)

Canonical Transformations and Matrix Elements

Journal of Mathematical Physics, 1971
We use the ideas on linear canonical transformations developed previously to calculate the matrix elements of the multipole operators between single-particle states in a three-dimensional oscillator potential. We characterize first the oscillator states in the chain of groups Sp(6)⊃Sp(2)×O(3), Sp(2)⊃OS(2), and O(3)⊃OL(2), and then expand the multipole ...
Quesne, Christiane, Moshinsky, Marcos
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Summability of Matrix Transforms of Subsequences

Canadian Mathematical Bulletin, 1981
AbstractD. F. Dawson has considered several questions of the following nature. Suppose T is a regular matrix summability method. If A is a regular matrix and x is a sequence having a finite limit point, then there exists a subsequence y of x such that each finite limit point of x is a T-limit point of Ay.
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Matrix Transformations in an Incomplete Space

Canadian Journal of Mathematics, 1968
Let X = (X, p) be a seminormed complex linear space with zero θ. Natural definitions of convergent sequence, Cauchy sequence, absolutely convergent series, etc., can be given in terms of the seminorm p. Let us write C = C(X) for the set of all convergent sequences for the set of Cauchy sequences; and L∞ for the set of all bounded sequences.
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A new transformation matrix for bilinear transformation

IEEE Transactions on Acoustics, Speech, and Signal Processing, 1984
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Bapeswara Rao, V. V., Sankara Rao, K.
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The generalized matrix product and the wavelet transform

Journal of Mathematical Imaging and Vision, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huixia Zhu, Gerhard X. Ritter
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Matrix Transformation Is Complete for the Average Case

SIAM Journal on Computing, 1995
In the theory of worst case complexity, NP completeness is used to establish that, for all practical purposes, the given NP problem is not decidable in polynomial time. In the theory of average case complexity, average case completeness is supposed to play the role of NP completeness.
Andreas Blass, Yuri Gurevich
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Unified Matrix Treatment of Discrete Transforms

IEEE Transactions on Computers, 1979
An unified matrix treatment is developed for some discrete transforms such as Haar (HT), rationalized Haar (RHT), rapid (RT), modified Wash–Hadamard (MWHT), Hadamard– Haar (HHT)r, and rationalized Hadamard–Haar (RHHT)r. For RT a technique for recovering the data sequence from the transform vector is presented.
V. Vlasenko, K. R. Rao
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Matrix differential transformations

Applicable Analysis, 1997
Differential transformations can be used in order to transform solutions of a simple differential equation into solutions of a more complicated differential equation. That way one gets explicit representations for solutions of some special differential equations.
H. Florian, J. Püngel, W. Tutschke
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A new method of matrix transformation. I. Matrix diagonalizations via involutional transformations

Journal of Mathematical Physics, 1979
It is shown that two matrices A and B of order n×n which satisfy a monic quadratic equation with two roots λ1 and λ2 are connected by ATAB=TABB where TAB=A+B−(λ1+λ2) I with I being the n×n unit matrix (Theorem 1). The condition for TAB to be involutional is that the anticommutator of ?=A−(1/2)(λ1+λ2) I and ?=B−(1/2)(λ1+λ2) is a c number (Theorem 2).
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The matrix Laguerre transform

Applied Mathematics and Computation, 1984
The Laguerre transform, introduced by \textit{J. Keilson} and \textit{W. R. Nunn} [ibid. 5, 313-359 (1979; Zbl 0449.65086)], \textit{J. Keilson}, \textit{W. R. Nunn} and the author [ibid. 8, 137-174 (1981; Zbl 0457.42011)], and further studied by the author [Development of the Laguerre transform method for numerical exploration of applied probability ...
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