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Showing 1-20 of 2,748 results

  2. Bargmann Transform on the Space of Hyperplanes

    We introduce an integral transform on the space of hyperplanes applying the Plancherel formula of the Radon transform to the definition of the...

    Hiroyuki Chihara in Journal of Fourier Analysis and Applications
    Article 24 August 2022

  4. Efficient Computation of the Zeros of the Bargmann Transform Under Additive White Noise

    We study the computation of the zero set of the Bargmann transform of a signal contaminated with complex white noise, or, equivalently, the...

    Luis Alberto Escudero, Naomi Feldheim, ... José Luis Romero in Foundations of Computational Mathematics
    Article Open access 27 September 2022

  5. On a New Characterization of the True-Poly-Analytic Bargmann Spaces

    We consider a novel bounded integral transform with a kernel function being the n -th polyanalytic Intissar–Hermite polynomial. We provide a concrete...

    Abdelhadi Benahmadi, Allal Ghanmi in Complex Analysis and Operator Theory
    Article 08 January 2024

  6. Segal–Bargmann Transforms Associated to a Family of Coupled Supersymmetries

    The Segal–Bargmann transform is a Lie algebra and Hilbert space isomorphism between real and complex representations of the oscillator algebra. The...

    Cameron L. Williams in Complex Analysis and Operator Theory
    Article 30 August 2022

  7. Towards Full ‘Galilei General Relativity’: Bargmann-Minkowski and Bargmann-Galilei Spacetimes

    Galilei-Newton spacetime \(\mathbb {G}\) with...
    Christian Y. Cardall in Geometric Science of Information
    Conference paper 2023

  8. Resolvent Algebra in Fock-Bargmann Representation

    The resolvent algebra \(\mathfrak {R}\left( X, \sigma \right) \)...
    Wolfram Bauer, Robert Fulsche in Semigroups, Algebras and Operator Theory
    Conference paper 2023

  9. Unbounded Operators on the Segal–Bargmann Space

    In this paper we analyse the domains of differential and multiplication operators on the Segal–Bargmann space. We consider the basic estimate for the...
    Friedrich Haslinger in The Bergman Kernel and Related Topics
    Conference paper 2024

  10. The Segal–Bargmann Transform in Clifford Analysis

    The Segal–Bargmann transform plays an essential role in signal processing, quantum physics, infinite-dimensional analysis, function theory and...
    Swanhild Bernstein, Sandra Schufmann in New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative
    Chapter 2021

  11. Wehrl entropy of entangled oscillators from the Segal–Bargmann formalism

    Abstract

    In this manuscript, we study the Wehrl entropy of entangled oscillators. This semiclassical entropy associated with the phase-space...

    David Alonso-López, Jose A. R. Cembranos, ... Andrés Mínguez-Sánchez in The European Physical Journal D
    Article 15 March 2023

  12. The Bicomplex Dual Fractional Hankel Transform

    We provide a concrete characterization of the Bergman space of bicomplex-valued bc-meromorphic functions with a strong pole at the origin of the...

    Adam Hammam in Complex Analysis and Operator Theory
    Article 29 January 2024

  13. Clifford Algebra-Valued Segal–Bargmann Transform and Taylor Isomorphism

    Classical Segal–Bargmann theory studies three Hilbert space unitary isomorphisms that describe the wave-particle duality and the configuration...

    Sorawit Eaknipitsari, Wicharn Lewkeeratiyutkul in Advances in Applied Clifford Algebras
    Article 04 September 2021

  15. Cross-Toeplitz operators on the Fock–Segal–Bargmann spaces and two-sided convolutions on the Heisenberg group

    We introduce an extended class of cross-Toeplitz operators which act between Fock–Segal–Bargmann spaces with different weights. It is natural to...

    Vladimir V. Kisil in Annals of Functional Analysis
    Article Open access 23 February 2023

  17. A Note on the Completeness of Generalized Eigenfunctions of the Hamiltonian of Reggeon Field Theory in Bargmann Space

    The aim of the present paper is to review some old results of Intissar (Commun Math Phys 113:263–297, 1987) and to study some new spectral properties...

    Abdelkader Intissar in Complex Analysis and Operator Theory
    Article 31 July 2023

  18. On the Quaternionic Short-Time Fourier and Segal–Bargmann Transforms

    In this paper, we study a special one-dimensional quaternion short-time Fourier transform (QSTFT). Its construction is based on the slice...

    Antonino De Martino, Kamal Diki in Mediterranean Journal of Mathematics
    Article Open access 19 April 2021

  19. Generalization of the Bargmann–Wigner construction for infinite-spin fields

    Abstract

    We generalize the Wigner scheme for constructing the relativistic fields corresponding to irreducible representations of the...

    I. L. Buchbinder, A. P. Isaev, ... S. A. Fedoruk in Theoretical and Mathematical Physics
    Article 23 July 2023
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