RIGGINGS OF LOCALLY COMPACT ABELIAN GROUPS

被引：0

作者：

Gadella, Manuel ^{[1
]}

Gomez, Fernando ^{[2
]}

Wickramasekara, Sujeev ^{[3
]}

机构：

[1] Fac Ciencias, Dept Fis Teor, C Real Burgos S-N, Valladolid 47011, Spain

[2] Fac Ciencias, Dept Anal Matemat, Valladolid 47011, Spain

[3] Grinnell Coll, Dept Phys, Grinnell, IA 50112 USA

来源：

JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS | 2008年 / 11卷

关键词：

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We obtain a set of generalized eigenvectors that provides a generalized spectral decomposition for a given unitary representation of a commutative, locally compact topological group. These generalized eigenvectors are functionals belonging to the dual space of a rigging on the space of square integrable functions on the character group. These riggings are obtained through suitable spectral measure spaces.

引用

页码：23 / 31

页数：9

共 50 条

[1] Locally compact Abelian groups
van Kampen, ER
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1934, 20 : 434 - 439
[2] The locally compact Abelian groups
Braconnier, J
Dieudonne, J
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1944, 218 : 577 - 579
[3] A THEORY OF DISTRIBUTIONS FOR LOCALLY COMPACT ABELIAN GROUPS AND COMPACT GROUPS
REID, GA
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1966, 16 : 415 - &
[4] FACTORIZATION OF LOCALLY COMPACT ABELIAN GROUPS
AHERN, PR
JEWETT, RI
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 1965, 9 (02) : 230 - &
[5] SPLITTING LOCALLY COMPACT ABELIAN GROUPS
FULP, RO
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (07): : 1064 - &
[6] DENSITIES ON LOCALLY COMPACT ABELIAN GROUPS
BERG, ID
RUBEL, LA
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 74 (02) : 298 - &
[7] EXTENSIONS OF LOCALLY COMPACT ABELIAN GROUPS
FULP, RO
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 293 - &
[8] CHARACTERS OF LOCALLY COMPACT ABELIAN GROUPS
RAJAGOPALAN, M
[J]. MATHEMATISCHE ZEITSCHRIFT, 1964, 86 (04) : 268 - +
[9] DENSITIES ON LOCALLY COMPACT ABELIAN GROUPS
BERG, ID
RUBEL, LA
[J]. ANNALES DE L INSTITUT FOURIER, 1969, 19 (01) : 81 - &
[10] A REMARK ON LOCALLY COMPACT ABELIAN GROUPS
MACKEY, GW
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1946, 52 (10) : 940 - 944

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