On a certain class of irreducible unitary representations of the infinite-dimensional rotation groups. I

previous :: next

On a certain class of irreducible unitary representations of the infinite-dimensional rotation groups. I

Hiroshi Matsushima, Kiyosato Okamoto, and Takatoshi Sakurai

Source: Hiroshima Math. J. Volume 11, Number 1 (1981), 181-193.

First Page: Show

Related Works:

Part II: Kiyosato Okamoto, Takatoshi Sakurai. On a certain class of irreducible unitary representations of the infinite-dimensional rotation group. II. Hiroshima Math. J., Volume 12, Number 2, (1982), 385--397.

Mathematical Reviews (MathSciNet): MR665502

Project Euclid: euclid.hmj/1206133757

Primary Subjects: 22E65

Secondary Subjects: 60H99

Full-text: Open access

PDF File (1009 KB)

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.hmj/1206134225
Mathematical Reviews number (MathSciNet): MR606841
Zentralblatt MATH identifier: 0499.22026

back to Table of Contents

References

[1] T. Hida, Brownian motion, Springer-Verlag, (1980).

Zentralblatt MATH: 0432.60002

Mathematical Reviews (MathSciNet): MR562914

[2] H. P. McKean, Geometry of differential space, (Special invited paper), Ann. Probability 1 (1973), 197-206.

Zentralblatt MATH: 0263.60035

Mathematical Reviews (MathSciNet): MR353471

[3] A. Orihara, Hermitian polynomials and infinite dimensinal motion group, J. Math. Kyoto Univ. 6 (1966), 1-12.

Zentralblatt MATH: 0185.13203

Mathematical Reviews (MathSciNet): MR232030

[4] Y. Umemura, On the infinite dimensional Laplacian operator, J. Math. Kyoto Univ. 4 (1965), 477-492.

Zentralblatt MATH: 0188.20703

Mathematical Reviews (MathSciNet): MR180872

previous :: next