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JOURNALS // Algebra i Analiz

Algebra i Analiz, 2021, Volume 33, Issue 4, Pages 107–124 (Mi aa1771)

The set of zeros of the Riemann zeta function as the point spectrum of an operator
V. V. Kapustin

This publication is cited in the following articles:
  1. S. A. Badonova, “O prostranstve de Branzha, svyazannom s dzeta-funktsiei Rimana”, Vestn. SamU. Estestvennonauchn. ser., 30:2 (2024), 7–11  mathnet  crossref
  2. V. V. Kapustin, “Hilbert–Pólya operators in Krein spaces”, Siberian Math. J., 65:1 (2024), 72–75  mathnet  crossref  crossref
  3. V. V. Kapustin, “The Mellin Transform, De Branges Spaces, and Bessel Functions”, J Math Sci, 282:4 (2024), 511  crossref
  4. V. V. Kapustin, “Riemann xi function and modified Bessel functions”, St. Petersburg Math. J., 36:2 (2025), 203–216  mathnet  crossref
  5. V. V. Kapustin, “Schrödinger Operator with Morse Potential and Zeros of the Riemann Zeta Function”, Math. Notes, 111:2 (2022), 312–315  mathnet  crossref  crossref  isi
  6. V. V. Kapustin, “Preobrazovanie Mellina, prostranstva de Branzha i funktsii Besselya”, Issledovaniya po lineinym operatoram i teorii funktsii. 50, Zap. nauchn. sem. POMI, 512, POMI, SPb., 2022, 88–94  mathnet
  7. V. V. Kapustin, “Five Hilbert Space Models Related to the Riemann Zeta Function”, J Math Sci, 268:6 (2022), 791  crossref
  8. V. V. Kapustin, “Pyat modelei v gilbertovykh prostranstvakh, svyazannykh s dzeta-funktsiei Rimana”, Issledovaniya po lineinym operatoram i teorii funktsii. 49, Zap. nauchn. sem. POMI, 503, POMI, SPb., 2021, 84–96  mathnet
  9. Vladimir Kapustin, “The Riemann Zeta Function and Kernels of Toeplitz Operators”, Lobachevskii J Math, 42:4 (2021), 791  crossref


© Steklov Math. Inst. of RAS, 2026