An integral transform and its applications.
Yangbo Ye (1994)
Mathematische Annalen
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Yangbo Ye (1994)
Mathematische Annalen
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R.J. Beerends (1987)
Mathematische Annalen
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Meenakshi, Ar., Krishnaswamy, D. (2002)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Olivia Di Matteo, Dragomir Ž. Ðoković, Ilias S. Kotsireas (2015)
Special Matrices
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We construct new symmetric Hadamard matrices of orders 92, 116, and 172. While the existence of those of order 92 was known since 1978, the orders 116 and 172 are new. Our construction is based on a recent new combinatorial array (GP array) discovered by N. A. Balonin and J. Seberry. For order 116 we used an adaptation of an algorithm for parallel collision search. The adaptation pertains to the modification of some aspects of the algorithm to make it suitable to solve a 3-way matching...
Vershik, A.M., Tsilevich, N.V. (2005)
Zapiski Nauchnykh Seminarov POMI
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N. A. Balonin, D. Ž. Ðokovic, D. A. Karbovskiy (2018)
Special Matrices
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We continue our systematic search for symmetric Hadamard matrices based on the so called propus construction. In a previous paper this search covered the orders 4v with odd v ≤ 41. In this paper we cover the cases v = 43, 45, 47, 49, 51. The odd integers v < 120 for which no symmetric Hadamard matrices of order 4v are known are the following: 47, 59, 65, 67, 73, 81, 89, 93, 101, 103, 107, 109, 113, 119. By using the propus construction, we found several symmetric Hadamard matrices...
R. Bhuvaneswari, V. Karunakaran (2010)
Annales UMCS, Mathematica
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Function spaces of type S are introduced and investigated in the literature. They are also applied to study the Cauchy problem. In this paper we shall extend the concept of these spaces to the context of Boehmian spaces and study the Fourier transform theory on these spaces. These spaces enable us to combine the theory of Fourier transform on these function spaces as well as their dual spaces.
R. Bhuvaneswari, V. Karunakaran (2010)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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Function spaces of type S are introduced and investigated in the literature. They are also applied to study the Cauchy problem. In this paper we shall extend the concept of these spaces to the context of Boehmian spaces and study the Fourier transform theory on these spaces. These spaces enable us to combine the theory of Fourier transform on these function spaces as well as their dual spaces.
M. L. Maheshwari (1981)
Revista Matemática Hispanoamericana
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Andrew Knightly, Charles Li (2006)
Acta Arithmetica
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Joshi, R.M., Joshi, J.M.C. (1987)
International Journal of Mathematics and Mathematical Sciences
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Gašper Zadnik (2014)
Colloquium Mathematicae
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We classify the isometries in the non-identity component of the whole isometry group of the symmetric space of positive 3 × 3 matrices of determinant 1: we determine the translation lengths, minimal spaces and fixed points at infinity.
Shrideh K.Q. Al-Omari, Jafar F. Al-Omari (2015)
Open Mathematics
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In this paper, we establish certain spaces of generalized functions for a class of ɛs2,1 transforms. We give the definition and derive certain properties of the extended ɛs2,1 transform in a context of Boehmian spaces. The extended ɛs2,1 transform is therefore well defined, linear and consistent with the classical ɛs2,1 transforms. Certain results are also established in some detail.
Shilin, Ilya (2012)
Mathematica Balkanica New Series
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MSC 2010: 33C15, 33C05, 33C45, 65R10, 20C40 The paper contains some new formulas involving the Whittaker functions and arising as the values of some double integrals, which are invariant with respect to the representation of the group SO(2; 1).
Pathak, Ram Shankar, Debnath, Lokenath (1987)
International Journal of Mathematics and Mathematical Sciences
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Philip Brenner (1968)
Mathematica Scandinavica
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