Solomon Mikhlin
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Russian mathematician
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Mathematics
Why Is Solomon Mikhlin Influential?
(Suggest an Edit or Addition)According to Wikipedia, Solomon Grigor'evich Mikhlin was a Soviet mathematician of who worked in the fields of linear elasticity, singular integrals and numerical analysis: he is best known for the introduction of the symbol of a singular integral operator, which eventually led to the foundation and development of the theory of pseudodifferential operators.
Solomon Mikhlin's Published Works
Published Works
- Variational Methods in Mathematical Physics (1965) (1023)
- Multidimensional Singular Integrals and Integral Equations (1965) (488)
- Singular Integral Operators (1987) (401)
- Mathematical Physics, An Advanced Course (1973) (284)
- The problem of the minimum of a quadratic functional (1965) (243)
- Approximate methods for solution of differential and integral equations (1970) (221)
- The numerical performance of variational methods (1971) (156)
- Linear Equations of Mathematical Physics (1969) (103)
- CHAPTER III – SINGULAR INTEGRAL EQUATIONS (1957) (68)
- SINGULAR INTEGRAL EQUATIONS (1965) (65)
- The integral equations of the theory of elasticity (1995) (57)
- THE SPECTRUM OF A FAMILY OF OPERATORS IN THE THEORY OF ELASTICITY (1973) (49)
- Constants in Some Inequalities of Analysis (1986) (44)
- Problems of the Theory of Cracks (1995) (27)
- Error Analysis in Numerical Processes (1991) (21)
- Multidimensional singular integral equations (1986) (19)
- APPLICATION OF THE THEORY OF SYMMETRIC INTEGRAL EQUATIONS (1957) (13)
- Variation-difference approximation (1978) (11)
- Variational-difference approximation (1978) (10)
- Boundary and eigenvalue problems in mathematical physics: Sagan, H., Wiley, New York and London, 1961 (1963) (9)
- The Contact Problems of the Theory of Elasticity (1995) (8)
- Approximation on a rectangular grid (1979) (8)
- Non-Linear Integral Equations (1975) (5)
- Approximate solution of multidimensional singular integral equations (1986) (3)
- Equivalent norms in Sobolev spaces and norms of extension operators (1978) (3)
- SINGULAR INTEGRALS IN Lp SPACES (1965) (3)
- Singular integral operators in spaces with integral metric (1986) (3)
- On the smallest number of original functions in the variational-difference method (1977) (2)
- PREFACE TO THE SECOND ENGLISH EDITION (1957) (1)
- CERTAIN APPLICATIONS OF THE THEORY OF SINGULAR INTEGRAL EQUATIONS (1957) (1)
- Order of Approximation (1979) (1)
- Remarks on the resolvent method (1980) (1)
- Approximate Solution of Integral Equations (1995) (1)
- EQUATIONS OF FREDHOLM TYPE (1957) (1)
- Stability of the solutions of one-sided variational problems with applications to the theory of plasticity (1983) (1)
- Solution of a three-dimensional problem of the theory of elasticity by ritz's method (1967) (0)
- PROPERTIES OF THE SYMBOL (1965) (0)
- One-Dimensional Singular Integral Equations (1995) (0)
- Some Degenerate Two-Dimensional Norms (1979) (0)
- FURTHER INVESTIGATION OF THE SYMBOL (1965) (0)
- The Euler-Maclaurin Sum Formula (1979) (0)
- DIRICHLET'S PROBLEM AND ITS APPLICATIONS (1957) (0)
- Construction of Variational-Difference Equations (1979) (0)
- COMPOUNDING OF SINGULAR INTEGRALS (1965) (0)
- Singular equations on smooth manifolds without boundary (1986) (0)
- Error of the Bubnov-Galerkin method for elliptic boundary-value problems (1984) (0)
- Vladimir Ivanovich Smirnov (on his eightieth birthday) (1968) (0)
- The Integral Equations of Classical Two-Dimensional Problems (1995) (0)
- Bounds on errors of Koshelev's universal process for finite-dimensional systems of equations (1989) (0)
- The symbol of multidimensional singular integral operators (1986) (0)
- One-dimensional singular integral equations with discontinuous coefficients (1986) (0)
- The constant factor in error estimates of the variational-difference approximation (1985) (0)
- Basic facts from functional analysis (1986) (0)
- THE BIHARMONIC EQUATION (1957) (0)
- Some problems leading to singular integral equations (1986) (0)
- SYMMETRIC EQUATIONS: THEORY OF HILBERT-SCHMIDT (1957) (0)
- Some further subsidiaries (1986) (0)
- Approximation in One-Dimensional Degenerate Norms (1979) (0)
- Multidimensional Singular Equations (1975) (0)
- Approximation of Eigenvalues (1979) (0)
- Some theorems on the stability of numerical processes (1982) (0)
- Potential Theory for Basic Three-Dimensional Problems (1995) (0)
- Integral Equations with Non-Negative Kernels (1975) (0)
- The Primitive Functions (1979) (0)
- Errors of solutions of linear algebraic systems (1987) (0)
- CERTAIN APPLICATIONS OF INTEGRALS ANALOGOUS TO POTENTIALS (1957) (0)
- Error Estimates for the Variational-Difference Method (1979) (0)
- On the difference-variational method for multidimensional boundary value problems (1974) (0)
- CHAPTER VIII – MISCELLANEOUS APPLICATIONS (1965) (0)
- On the rational choice of coordinate functions in Ritz's method (1963) (0)
- Singular integrals of higher dimensions in spaces with a uniform metric (1986) (0)
- One-dimensional singular integral equations with continuous coefficients on closed curves (1986) (0)
- Aleksandr Ivanovich Koshelev (on his sixtieth birthday) (1987) (0)
- General Results on Linear Integral Equations (1995) (0)
- Primitive Functions with Wide Support (1979) (0)
- The one-dimensional singular integral (1986) (0)
- Completeness and Fundamental Completeness Conditions (1979) (0)
- Integral Equations with Convolution Kernels (1975) (0)
- Multidimensional singular equations with degenerate symbol (1986) (0)
- The Integral Equations of Mathematical Physics (1975) (0)
- Systems of multidimensional singular equations (1986) (0)
- Smallest constant of extension of functions of Sobolev classes (1982) (0)
- The localization principle. Singular operators on manifolds with boundary (1986) (0)
- Continuous and Compact Linear Operators (1975) (0)
- The Fredholm Theory (1975) (0)
- One-Dimensional Singular Equations (1975) (0)
- Approximation on a Rectangular Grid: With Application to Finite Element Methods and Other Problems (1979) (0)
- Methods for the approximate solution of one-dimensional singular integral equations (1986) (0)
- THE GENERALIZED METHOD OF SCHWARZ (1957) (0)
- Approximation on a radial-annular net (1977) (0)
- Systems of one-dimensional singular equations (1986) (0)
- SIMPLEST PROPERTIES OF MULTIDIMENSIONAL SINGULAR INTEGRALS (1965) (0)
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