Results 241 to 250 of about 11,466,083 (284)

A class of fractional integral transforms: a generalization of the fractional Fourier transform

IEEE Transactions on Signal Processing, 2002
The paper presents a systematic and unified approach to fractional integral transforms. We introduce a new class of fractional integral transforms that includes the fractional Fourier and Hankel transforms and the fractional integration and differentiation operators as special cases. These fractional transforms may also be viewed as angular transforms,
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Generalized transformed t-conorm integral and multifold integral

Fuzzy Sets and Systems, 2006
Partial support by Generalitat de Catalunya (AGAUR, 2004XT 00004) and by the MEC under the project “PROPRIETAS” (SEG2004-04352-C04-02) is acknowledged.
Yasuo Narukawa, Vicenç Torra
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Integral Transforms Related to a Generalized Convolution

Results in Mathematics, 2000
A general convolution transform of the Fourier cosine-sine type is investigated. The authors find necessary and sufficient conditions on the kernel function, which makes the mentioned transform a unitary transform on \(L_2(\mathbb{R})\). A special class of the Fourier sine kernels is defined. Watson and Plancherel type theorems are proved.
Al-Musallam, F., Tuan, Vu Kim
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Inversion of General Integral Transforms

SIAM Journal on Mathematical Analysis, 1974
Following the terminology of Titchmarsh, we call an integral transform with a kernel depending on the product of its arguments \[\int_D {k(xy)\phi (y)dy = f(x),\quad x \in D,} \] a general integral transform. In this paper, the transform is inverted with $D = ( - \infty ,\infty )$, by means of the ordinary and generalized Mellin transforms.
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Generalized canonical transformations and path integrals

Physical Review A, 1989
Some time-dependent physical systems do not admit, in the general case, either an invariant or auxiliary equation. The study of these systems is then in general made easier by space-time transformation of coordinates. This is true for the case for a rectangular well with a moving wall, which generalized canonical transformations reduce, in the path ...
, Chetouani, , Guechi, , Hammann
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Generalized Trigonometric Integral Transforms

Journal of Mathematical Sciences, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Integral Transformations

Physics Bulletin, 1970
A H Zemanian Sussex: John Wiley 1969 pp ix + 300 price £7 The author states in the preface: "The subject of this book arises from the confluence of two mathematical disciplines, the theory of integral transformations and the theory of generalized functions." Both these disciplines are of considerable importance to the physicist: generalized functions ...
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General integral transforms

International Journal of Mathematical Education in Science and Technology, 1981
In this paper the author establishes a general theory of integral transforms on the basis of the Sturm‐Liouville theory and associated eigenfunction expansions and claims that this theory guides one in the choice of integral transform for a specific problem.
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General integral transform of the exponential integrals

Astrophysics and Space Science, 1979
General integral transform of the exponential integralsEn is considered and will be denoted asB(k)n(τ). Different expressions and the equations satisfied byB(k)n are developed. Two-term recurrence formula forB(k)n(0) and three-term recurrence formula forB(k)n(τ); τ≠0 will be established for a givenk≥1 andn=2,3, ...,N. The computational algorithms based
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An Inversion Integral for a General Legendre Transformation

SIAM Review, 1963
PREVIOUSLY TA LI [5] CONSIDERED THE PROBLEM of an inversion integral for a certain integral transformation involving Chebyshev polynomials. Similar cases which include the Legendre polynomials [1] and the Gegenbauer (ultraspheric) polynomials [3] have also been treated.
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