# Between the Paley-Wiener theorem and the Bochner tube theorem

Annales Polonici Mathematici (1995)

- Volume: 60, Issue: 3, page 299-304
- ISSN: 0066-2216

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topZofia Szmydt, and Bogdan Ziemian. "Between the Paley-Wiener theorem and the Bochner tube theorem." Annales Polonici Mathematici 60.3 (1995): 299-304. <http://eudml.org/doc/262396>.

@article{ZofiaSzmydt1995,

abstract = {We present the classical Paley-Wiener-Schwartz theorem [1] on the Laplace transform of a compactly supported distribution in a new framework which arises naturally in the study of the Mellin transformation. In particular, sufficient conditions for a function to be the Mellin (Laplace) transform of a compactly supported distribution are given in the form resembling the Bochner tube theorem [2].},

author = {Zofia Szmydt, Bogdan Ziemian},

journal = {Annales Polonici Mathematici},

keywords = {Mellin distributions; Bochner tube theorem; Paley-Wiener-Schwartz theorem; Laplace transform of a compactly supported distribution; Mellin transformation},

language = {eng},

number = {3},

pages = {299-304},

title = {Between the Paley-Wiener theorem and the Bochner tube theorem},

url = {http://eudml.org/doc/262396},

volume = {60},

year = {1995},

}

TY - JOUR

AU - Zofia Szmydt

AU - Bogdan Ziemian

TI - Between the Paley-Wiener theorem and the Bochner tube theorem

JO - Annales Polonici Mathematici

PY - 1995

VL - 60

IS - 3

SP - 299

EP - 304

AB - We present the classical Paley-Wiener-Schwartz theorem [1] on the Laplace transform of a compactly supported distribution in a new framework which arises naturally in the study of the Mellin transformation. In particular, sufficient conditions for a function to be the Mellin (Laplace) transform of a compactly supported distribution are given in the form resembling the Bochner tube theorem [2].

LA - eng

KW - Mellin distributions; Bochner tube theorem; Paley-Wiener-Schwartz theorem; Laplace transform of a compactly supported distribution; Mellin transformation

UR - http://eudml.org/doc/262396

ER -

## References

top- [1] L. Hörmander, The Analysis of Linear Partial Differential Operators I, Springer, 1985. Zbl0601.35001
- [2] W. Rudin, Lectures on the Edge of the Wedge Theorem, Amer. Math. Soc., Providence, 1971.
- [3] Z. Szmydt and B. Ziemian, The Mellin Transformation and Fuchsian Type Partial Differential Equations, Math. Appl. 56, Kluwer, 1992. Zbl0771.35002

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