Zeta zeros and prolate wave operators: semilocal adelic operators

DOI10.1007/S43034-024-00388-ZMaRDI QIDQ6628878

Henri Moscovici, Caterina Consani, Alain Connes

Publication date: 29 October 2024

Published in: Annals of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsmetaplectic representationJacobi matrixinfraredprolate operatorRiemann zetaultravioletSonin spacesemilocal trace formula

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Weyl theory and its generalizations for ordinary differential equations (34B20) Semisimple Lie groups and their representations (22E46) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Relations with noncommutative geometry (11M55)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Prolate spheroidal wave functions of order zero. Mathematical tools for bandlimited approximation
• Two complete and minimal systems associated with the zeros of the Riemann zeta function
• The classical moment problem as a self-adjoint finite difference operator
• Trace formula in noncommutative geometry and the zeros of the Riemann zeta function
• Basic number theory.
• Self reciprocal functions.
• On the ``Sonine spaces associated by de Branges to the Fourier transform
• Weil positivity and trace formula the Archimedean place
• A new property of reproducing kernels for classical orthogonal polynomials
• Sur certains groupes d'opérateurs unitaires
• On some Hilbert spaces of entire functions associated with the Fourier transform and Dirichlet and Riemann \(L\)-functions.
• The On-Line Encyclopedia of Integer Sequences
• The Moment Problem
• The scaling Hamiltonian
• Self-reciprocal functions
• Spectral triples and \(\zeta\)-cycles

This page was built for publication: Zeta zeros and prolate wave operators: semilocal adelic operators

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6628878)