Algebraic integration theory (Q5507949)

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scientific article; zbMATH DE number 3219280

Language	Label	Description	Also known as
English	Algebraic integration theory	scientific article; zbMATH DE number 3219280

Statements

scholarly article

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Algebraic integration theory (English)

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Bulletin of the American Mathematical Society

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publication date

1965

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zbMATH Keywords

functional analysis

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Irving E. Segal

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MaRDI profile type

MaRDI publication profile

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The L 2 -System of a Unimodular Group. I

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Automorphic group representations

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Stochastic processes

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The translation pathology of Wiener space

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Transformations of Wiener integrals under translations

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An Expression for the Solution of a Class of Non-Linear Integral Equations

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Transformations of Wiener Integrals Under a General Class of Linear Transformations

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Fourier-Wiener transforms of functionals belonging to \(L_2\) over the space \(C\)

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The behavior of measure and measurability under change of scale in Wiener space

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The Transformation of Wiener Integrals by Nonlinear Transformations

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The Mathematics of Second Quantization

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Les fonctionnelles linéaires sur l'ensemble des opérateurs bornes d'un espace de Hilbert

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Algèbres quasi-unitaires

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The Radon-Nikodym Theorem for Finite Rings of Operators

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On the Schrodinger and Heat Equations for Nonnegative Potentials

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Space-Time Approach to Non-Relativistic Quantum Mechanics

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An Operator Calculus Having Applications in Quantum Electrodynamics

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Mathematical aspects of the quantum theory of fields. Part V. Fields modified by linear homogeneous forces

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INTEGRATION OVER HILBERT SPACE AND OUTER EXTENSIONS

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Stationary Processes and Prediction Theory. (AM-44)

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Analogue of the Plancherel formula for the classical groups

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Integration in Functional Spaces and its Applications in Quantum Physics

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Sur la théorie des représentations unitaires

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Théorie des caractères. I. Algèbres unitaires. II. Définition et propriétés générales des caractéres

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Some Contributions to the Theory of Rings of Operators

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Integration and Nonlinear Transformations In Hilbert Space

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Measurable Functions on Hilbert Space

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Harmonic analysis on Hilbert space

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The Plancherel Formula For Complex Semisimple Lie Groups

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Stationary random distributions

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ON THE ADDITIVITY OF THE TRACE IN FINITE FACTORS

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Concrete representation of abstract (L)-spaces and the mean ergodic theorem

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Determination of the Spectrum of the Flow of Brownian Motion

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L p Fourier Transforms on Locally Compact Unimodular Groups

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On the representation of 𝜎-complete Boolean algebras

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Note on a theorem of Mackey

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A theorem of Stone and von Neumann

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Imprimitivity for Representations of Locally Compact Groups I

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Induced representations of locally compact groups. II. The Frobenius reciprocity theorem

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Unitary representations of group extensions. I

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Point realizations of transformation groups

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On Homogeneous Measure Algebras

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An algebraic characterization of measure algebras

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Unitary representations of locally compact groups. II

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On Eigenfunction Expansions

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Remark Concerning Integration

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Integrals devised for special purposes

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On rings of operators

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On Rings of Operators. II

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On rings of operators. IV

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On a proposition of von Neumann

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Hilbert algebras

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Feynman Integrals and the Schrödinger Equation

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The space of completely continuous operators on a Hilbert space

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Postulates for general quantum mechanics

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The two-sided regular representation of a unimodular locally compact group

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An extension of Plancherel's formula to separable unimodular groups

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A non-commutative extension of abstract integration

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Abstract Probability Spaces and a Theorem of Kolmogoroff

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Tensor Algebras Over Hilbert Spaces. I

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Tensor algebras over Hilbert spaces. II

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Ergodic subgroups of the orthogonal group on a real Hilbert space

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Equivalences of Measure Spaces

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Distributions in Hilbert Space and Canonical Systems of Operators

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Transforms for Operators and Symplectic Automorphisms over a Locally Compact Abelian Group.

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Linear transformations of a functional integral. I

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Linear Symmetries of Free Boson Fields

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States of the Clifford algebra

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Integration Theorems For Gages and Duality for Unimodular Groups

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On one-parameter unitary groups in Hilbert space

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The Theory of Representation for Boolean Algebras

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Applications of the Theory of Boolean Rings to General Topology

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Notes on Integration

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A General Theory of Spectra. I

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On rings of operators. III

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On rings of operators. Reduction theory

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Sur certains groupes d'opérateurs unitaires

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The Homogeneous Chaos

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full work available at URL

https://doi.org/10.1090/s0002-9904-1965-11284-8

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Identifiers

zbMATH Open document ID

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10.1090/S0002-9904-1965-11284-8

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5507949

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