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Information Journal Paper

Title

ϕ-FACTORABLE OPERATORS AND WEYL-HEISENBERG FRAMES ON LCA GROUPS

Pages

  101-113

Abstract

 We investigate j-factorable operators and WEYL-HEISENBERG FRAMEs with respect to a function-valued inner product, the so called j-BRACKET PRODUCT on L2 (G), where G is a locally compact abelian group and j is a topological isomorphism on G. We introduce j-factorable operators on L2 (G) and extend the Riesz Representation Theorems for these operators. Finally, as an application of the j-BRACKET PRODUCT, we show that several well known theorems for WEYL-HEISENBERG FRAMEs inL2 (R) remain valid in L2 (G), and they are unified within of group theory, in connection with the j-BRACKET PRODUCT.

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    • Cite

    APA: Copy

    KAMYABI GOL, R.A., & RAISI TOUSI, R.. (2011). ϕ-FACTORABLE OPERATORS AND WEYL-HEISENBERG FRAMES ON LCA GROUPS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(1), 101-113. SID. https://sid.ir/paper/628048/en

    Vancouver: Copy

    KAMYABI GOL R.A., RAISI TOUSI R.. ϕ-FACTORABLE OPERATORS AND WEYL-HEISENBERG FRAMES ON LCA GROUPS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(1):101-113. Available from: https://sid.ir/paper/628048/en

    IEEE: Copy

    R.A. KAMYABI GOL, and R. RAISI TOUSI, “ϕ-FACTORABLE OPERATORS AND WEYL-HEISENBERG FRAMES ON LCA GROUPS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 1, pp. 101–113, 2011, [Online]. Available: https://sid.ir/paper/628048/en

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