Evolution of superoscillations in the Klein-Gordon field

DOI10.1007/s00032-020-00310-xzbMath1442.81023OpenAlexW3013202575MaRDI QIDQ776185

D. Kharzeev

Publication date: 30 June 2020

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-020-00310-x

zbMATH Keywords

Klein-Gordon equationconvolution operatorssuperoscillating functionsentire functions with growth conditions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Linear operators on function spaces (general) (47B38) Convolution, factorization for one variable harmonic analysis (42A85)

Related Items (11)

Superoscillating sequences and supershifts for families of generalized functions ⋮ Evolution of superoscillations in the Dirac field ⋮ Evolution of superoscillations for spinning particles ⋮ A unified approach to Schrödinger evolution of superoscillations and supershifts ⋮ On the generating functions and special functions associated with superoscillations ⋮ The general theory of superoscillations and supershifts in several variables ⋮ Entire monogenic functions of given proximate order and continuous homomorphisms ⋮ Integral representation of superoscillations via complex Borel measures and their convergence ⋮ Infinite order differential operators with a glimpse to applications to superoscillations ⋮ Infinite-order differential operators acting on entire hyperholomorphic functions ⋮ Holomorphic functions, relativistic sum, Blaschke products and superoscillations

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