Representations of Inverse Functions by the Integral Transform with the Sign Kernel

Yamada, Masato; Matsuura, Tsutomu; Saitoh, Saburou

Displaying similar documents to “Representations of Inverse Functions by the Integral Transform with the Sign Kernel”

Semilinear relations and *-representations of deformations of so(3)

Yuriĭ Samoĭlenko, Lyudmila Turowska (1997)

Banach Center Publications

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We study a family of commuting selfadjoint operators $= {(A_{k})}_{k = 1}^{n}$ , which satisfy, together with the operators of the family $= {(B_{j})}_{j = 1}^{n}$ , semilinear relations $⅀_{i} f_{i j} () B_{j} g_{i j} () = h ()$ , ( $f_{i j}$ , $g_{i j}$ , $h_{j} : ℝ^{n} \to ℂ$ are fixed Borel functions). The developed technique is used to investigate representations of deformations of the universal enveloping algebra U(so(3)), in particular, of some real forms of the Fairlie algebra $U_{q}^{'} (s o (3))$ .

Projective representations of generalized symmetric groups.

Morris, Alun O., Jones, Huw I. (2003)

Séminaire Lotharingien de Combinatoire [electronic only]

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Junction type representations of the Temperley-Lieb algebra and associated symmetries.

Doikou, Anastasia, Karaiskos, Nikos (2010)

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Multi-component NLS models on symmetric spaces: spectral properties versus representations theory.

Gerdjikov, Vladimir S., Grahovski, Georgi G. (2010)

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On approximate inverse systems and resolutions

Sibe Mardešić (1993)

Fundamenta Mathematicae

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Integral Representations of Generalized Mathieu Series Via Mittag-Leffler Type Functions

Tomovski, Živorad (2007)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 33C05, 33C10, 33C20, 33C60, 33E12, 33E20, 40A30 The main purpose of this paper is to present a number of potentially useful integral representations for the generalized Mathieu series as well as for its alternating versions via Mittag-Leffler type functions.

A note on integral representation of Feller kernels

R. Rębowski (1991)

Annales Polonici Mathematici

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We consider integral representations of Feller probability kernels from a Tikhonov space X into a Hausdorff space Y by continuous functions from X into Y. From the existence of such a representation for every kernel it follows that the space X has to be 0-dimensional. Moreover, both types of representations coincide in the metrizable case when in addition X is compact and Y is complete. It is also proved that the representation of a single kernel is equivalent to the existence of some...

On representation theory of quantum $S L_{q} (2)$ groups at roots of unity

Piotr Kondratowicz, Piotr Podleś (1997)

Banach Center Publications

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Irreducible representations of quantum groups $S L_{q} (2)$ (in Woronowicz’ approach) were classified in J.Wang, B.Parshall, Memoirs AMS 439 in the case of q being an odd root of unity. Here we find the irreducible representations for all roots of unity (also of an even degree), as well as describe “the diagonal part” of the tensor product of any two irreducible representations. An example of a not completely reducible representation is given. Non-existence of Haar functional is proved. The corresponding...

Real representations of quivers

Lidia Hügeli, Sverre Smalø (1999)

Colloquium Mathematicae

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The Dynkin and the extended Dynkin graphs are characterized by representations over the real numbers.

Integral repesentations and its applications in Clifford analysis.

Zhang, Zhongxiang (2005)

General Mathematics

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Discrete minimal surface algebras.

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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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