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A New Morera-Type Theorem on a Unit Disk

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Ukrainian Mathematical Journal Aims and scope

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We present a new Morera-type theorem on a unit disk.

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REFERENCES

  1. S. Helgason, Groups and Geometric Analysis [Russian translation], Mir, Moscow (1987).

    Google Scholar 

  2. V. V. Volchkov, “On a Zalcman problem and its generalizations,” Mat. Zametki, 53, Issue 2, 30–36 (1993).

    Google Scholar 

  3. M. L. Agranovskii, “Fourier transformation on SL 2(R) and Morera-type theorems,” Dokl. Akad. Nauk SSSR, 243, No. 6, 1353–1356 (1978).

    Google Scholar 

  4. L. Zalcman, “Analyticity and the Pompeiu problem,” Arch. Ration. Mech. Anal., 47, 237–254 (1972).

    Google Scholar 

  5. C. A. Berenstein, D. C. Chang, D. Pascuas, and L. Zalcman, “Variations on the theorem of Morera,” Contemp. Mat., 137, 63–78 (1992).

    Google Scholar 

  6. M. Agranovskii, C. A. Berenstein, and D. C. Chang, “Morera theorem for holomorphic H p spaces in the Heisenberg group,” J. Reine Angew. Math., 443, 49–89 (1993).

    Google Scholar 

  7. V. V. Volchkov, “Theorems of the Morera type on domains with a weak cone condition,” Izv. Vyssh. Uchebn. Zaved., Ser. Mat., No. 10, 15–20 (1993).

  8. L. A. Aizenberg, “Variations on the Morera theorem and Pompeiu problem,” Dokl. Akad. Nauk Ros., 337, No. 6, 709–712 (1994).

    Google Scholar 

  9. V. V. Volchkov, “On one extremal problem related to the Morera theorem,” Mat. Zametki, 60, No. 6, 804–809 (1996).

    Google Scholar 

  10. V. V. Volchkov, “Morera-type theorems on the unit disk,” Anal. Math., 20, 49–63 (1994).

    Google Scholar 

  11. V. V. Volchkov, “Extremal problems on Pompeiu sets,” Mat. Sb., 189, No. 7, 3–22 (1998).

    Google Scholar 

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Silenko, V.E. A New Morera-Type Theorem on a Unit Disk. Ukrainian Mathematical Journal 53, 317–322 (2001). https://doi.org/10.1023/A:1010485508280

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