Infinite order differential operators in spaces of entire functions.

DOI10.1016/S0022-247X(02)00448-1zbMath1039.35146arXivmath/0311213MaRDI QIDQ1868776

Yuri V. Kozitskij, Lech Wołowski, Piotr Oleszczuk

Publication date: 28 April 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311213

zbMATH Keywords

Cauchy problemFréchet spacesExponential type entire functionsLaguerre entire functions

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Representations of entire functions of one complex variable by series and integrals (30D10) PDEs of infinite order (35R50)

Related Items (3)

A multiscale asymptotic analysis of time evolution equations on the complex plane ⋮ A "COHERENT STATE TRANSFORM" APPROACH TO DERIVATIVE PRICING ⋮ Spectral order and isotonic differential operators of Laguerre-Pólya type

Cites Work

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• Fonctions différentiables invariantes sous l'opération d'un groupe réductif
• Trotter-Kato product formula and operator-norm convergence
• Laguerre entire functions and related locally convex spaces
• Integral operators and dual orthogonal systems on a half-line^*

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