Generalizations of 2d-Canonical Sine-Sine Transform

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Generalizations of 2d-Canonical Sine-Sine Transform

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Abstract

Integral transform, fractional integral transform is a flourishing filed of active research due to its wide range of application. Fourier transform, fractional Fourier transform is probably the most intensively studied among all fractional transforms, similarly 2D canonical sine-sine transforms, and 2D canonical cosine-cosine is a powerful mathematical tool for processing images. In this paper the canonical 2D sine-sine transform is define in generalized sense. And various testing functions spaces defined by using Gelfand-shilov technique. Also uniqueness theorem, modulation theorems are proved.

References

6 Cites in Article
  1. 1. S Chavhan,C Borkarv (2012). Operator of Two Dimensional Generalized Canonical Sine Transform. IJERD, 4(2), 10-14.
  2. 2. Bhattadambaru Debnathlokenath Integral transforms and their applications. Chapman and Hall/CRC Taylor and Francis Group
  3. 3. I Gel'fand,G Shilov (1964). PARTICULAR TYPES OF GENERALIZED FUNCTIONS. Properties and Operations, 209-329.
  4. 4. I Gelfand,G Shilov (1967). Generalized Functions. Generalized Functions, II
  5. 5. A Zemanian (1965). Distribution theory and transform analysis. Distribution theory and transform analysis
  6. 6. A Zemanian (1968). Generalized integral transform. Generalized integral transform

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

S.B.Chavhan. 2013. "Generalizations of 2d-Canonical Sine-Sine Transform". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F3).

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification MSC 2010: 47D09
Version of record

v1.2

Issue date
May 6, 2013

Language
English
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Generalizations of 2d-Canonical Sine-Sine Transform

S.B.Chavhan
S.B.Chavhan Yeshwant College Nanded- 431602 state : Maharashtra (India)