**American Mathematical Society Translations - Series 2**

1960;
479 pp;
Hardcover

MSC: Primary 34;

**Print ISBN: 978-0-8218-1716-2
Product Code: TRANS2/16**

List Price: $70.00

AMS Member Price: $56.00

MAA Member Price: $63.00

**Electronic ISBN: 978-1-4704-3227-0
Product Code: TRANS2/16.E**

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MAA Member Price: $59.40

# Thirty-Five Scientific Communications from the All-Union Conference on Functional Analysis and its Applications. Jan. 17–24, 1956. Five Papers on Analysis

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## Thirty-Five Scientific Communications from the All-Union Conference on Functional Analysis and its Applications. Jan. 17-24, 1956. Five Papers on Analysis

- Cover Cover11
- Title page i2
- Copyright page ii3
- Contents iii4
- Asymptotic laws of distribution of the characteristic values for certain special forms of differential equations of the second order 18
- Investigation of the spectrum and the expansion in eigenfunctions of a non-selfadjoint differential operator of the second order on a semi-axis 103110
- The method of near systems in the space of analytic functions and its application to interpolation 195202
- On some problems of functional analysis 315322
- Group representations 325332
- Scientific communications, Reconstruction of the potential energy from the dispersion matrix 355362
- Differential geometry of smooth manifolds 357364
- Hypercomplex systems with continuous basis 358365
- The Laplacian operators on semisimple Lie groups and on some symmetric spaces 364371
- On the critical values of some functionals in Banach spaces 369376
- On the possibility of generalizing the method of orthogonal trajectories 373380
- Some problems of functional analysis and the variational methods of studying nonlinear equations 375382
- On some methods of the approximate solution of nonlinear functional equations in Banach spaces 378385
- Application of the theory of partially ordered spaces to the study of self-adjoint operators in Hilbert space 382389
- Approximate determination of proper values and perturbation theory 385392
- A difference method for the calculation of shock waves 389396
- On the index, zero-elements and kernel elements of unbounded operators 391398
- Unitary representations of real simple Lie groups 393400
- Integration and differentiation of functions of Hermitian operators depending on a parameter 396403
- On the approximation of abstract functions 401408
- On the convergence of sequences of functions in some function spaces 406413
- On the approximate solution of nonlinear operator equations by iterative methods 410417
- On linear and bilinear transformations of sequences in a Banach space 414421
- Harmonic analysis of functions of rapid growth 416423
- Investigation of the spectrum of a non-linear operator in a neighborhood of a branch point, and application to the problem of longitudinal bending of a compressed rod 418425
- Differential equations in Banach space and their application in hydrodynamics 423430
- On non-linear equations with positive non-linearity 426433
- The method of non-self ad joint operators in dispersion theory 427434
- The principle of St. Venant and oscillating functions 434441
- Some theorems of non-linear functional analysis and their application in the theory of local groups 437444
- Structural characterization of functional spaces 442449
- On a class of Banach spaces 445452
- Operator equations in semi-ordered spaces and some qualitative theorems for linear partial differential equations 450457
- The investigation of the rapidity of convergence of the method of steepest descent 454461
- Construction of transformation operators and the solution of a problem of moments for ordinary linear differential equations of arbitrary order 457464
- Generalized resolvents of symmetric operators and eigenfunction expansions for a certain class of boundary-value problems 462469
- On regular and parabolic systems of partial differential equations 464471
- Variational problems with a delayed argument 468475
- On certain problems of the general theory of commutative normed rings 471478
- On the subrings of a ring of continuous functions 477484
- Back Cover 480487