Eigenfunction expansions associated with the Schroedinger operators and their applications to scattering theory

Functional Analysis and Semi-groups

1996 • 4,058 citations

Theory of Atomic Collisions

1956 • 2,461 citations

Introduction to the theory of Fourier integrals

1937 • 2,362 citations

Functional analysis

1955 • 2,035 citations

Eigenfunction expansions associated with second-order differential equations

1946 • 1,847 citations

�ber gew�hnliche Differentialgleichungen mit Singularit�ten und die zugeh�rigen Entwicklungen willk�rlicher Funktionen

1910 • 834 citations

Linear Transformations in Hilbert Space and Their Applications to Analysis

1932 • 619 citations

Growth properties of solutions of the reduced wave equation with a variable coefficient

1959 • 409 citations

Fundamental properties of Hamiltonian operators of Schrödinger type

1951 • 351 citations

The Eigenvalue Problem for Ordinary Differential Equations of the Second Order and Heisenberg's Theory of S-Matrices

1949 • 160 citations

On the existence and the unitary property of the scattering operator

1959 • 141 citations

Fundamental solutions of parabolic differential equations and boundary value problems

1957 • 137 citations

Grundprobleme der Mathematischen Theorie Elektromagnetischer Schwingungen

1957 • 133 citations

Eigenfunction Expansions Associated with Second-Order Differential Equations, Part 2

1958 • 131 citations

Convergence to the Møller Wave‐Matrix

1957 • 124 citations

( 18 ) The eigenvalue problem for ordinary differential equations of the second order and Heisenberg's theory of S-matrices

2015 • 115 citations

On the behavior of the solutions of the differential equation ΔU = F(x,u) in the neighborhood of a point

1954 • 99 citations

Singul�re elliptische Differentialoperatoren in Hilbertschen R�umen

1956 • 90 citations

Halbbeschr�nkte partielle Differentialoperatoren zweiter Ordnung vom elliptischen Typus

1958 • 83 citations

On finite-dimensional perturbations of self-adjoint operators.

1957 • 74 citations

On Eigenfunction Expansions

1953 • 66 citations

On convergence to the møller wave operators

1958 • 51 citations

THEORY OF THE SCATTERING OPERATOR

1958 • 46 citations

The asymptotic condition for simple scattering systems

1959 • 41 citations

C.Muller: Grundprobleme der Mathematischen Theorie Elektromagnetischer Schwingungen, Splinger-Verlag, Berlin, Gottingen, heidelberg, 1957, 344頁, 16×24cm, 5,280円

1957 • 31 citations

THE EIGENFUNCTION EXPANSION THEOREM FOR THE GENERAL SELF-ADJOINT SINGULAR ELLIPTIC PARTIAL DIFFERENTIAL OPERATOR. I. THE ANALYTICAL FOUNDATION

1954 • 28 citations

On Titchmarsh-Kodaira’s Formula concerning Weyl-Stone’s Eigenfunction Expansion

1950 • 28 citations

The reduced wave equation in a medium with a variable index of refraction

1957 • 17 citations

EIGENFUNCTION EXPANSIONS FOR FORMALLY SELF-ADJOINT PARTIAL DIFFERENTIAL OPERATORS. II

1956 • 17 citations

EIGENFUNCTION EXPANSIONS FOR FORMALLY SELF-ADJOINT PARTIAL DIFFERENTIAL OPERATORS. I

1956 • 12 citations

Eigenfunction Expansions for Non-Symmetric Partial Differential Operators, I

1958 • 11 citations