Last Updated：2025/11/26

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(mathematics) An extension of the differential operator, used in the theory of partial differential equations and quantum field theory.

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pseudodifferential operator

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pseudodifferential operator

Noun

(mathematics) An extension of the differential operator, used in the theory of partial differential equations and quantum field theory.

Japanese Meaning

微分作用素の拡張であり、偏微分方程式や量子場理論において利用される作用素

What is this buttons?

The pseudodifferential operator provides a powerful framework for analyzing singularities in solutions to partial differential equations.

Google Translation / DeepL Translation

擬微分作用素は、偏微分方程式の解の特異点を解析するための強力な枠組みを提供します。

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Sense（1）

(mathematics) An extension of the differential operator, used in the theory of partial differential equations and quantum field theory.

The algebras in question come from problems in various areas of mathematics and mathematical physics; typical examples include algebras of pseudodifferential operators, group algebras, and other algebras arising from quantum field theory.

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pseudodifferential operators

（ plural ）

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pseudodifferential operator

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