OVERVIEW
UNTIL AUGUST 2019
WHO I AM
LITERATURE
literature (RH)
literature (Goldbach)
literature (general)

              

Adamchik V. S., Srivastava H., M., Some series of the Zeta and related functions
 

     

Agmon S., Spectral properties of Schrödinger operators and scattering theory


Al-Fhaid A. S., Continued Fraction Evaluation of the Error Function


S. Al-Omari On the Distributional Mellin Transformation and its Extension to Boehmian Spaces.pdf


T. Amdeberhan et. al., integrals of powers of loggammapdf.pdf

   

Anderson M. T., Geometrization of 3-Manifolds via the Ricci Flow


Anderson E., Geometrodynamics, Spacetime or Space


I. Aref eva Quantization of the Riemann Zeta-Function and Cosmology.pdf

    

Aref eva I. Y., Volovich I. V., On the Null Energy Condition and Cosmology

     

Azizov T. Y., et all, On Krein s papers in the theory of spaces with an indefinite metric

     

Azizov T. Y., Iokhvidov I. S., Linear operators in spaces with an indefinite metric, book review


B. Bagchi On Nyman, Beurling and Baez-Duarte s Hilbert space reformulation of the RH.pdf

     

Baricz A., Mills ration, Monotonicity patterns and functional inequalities

    

Baricz A., Pogany T. K., Inequalities for the one-dimensional analogous of the Coloumb potential

    

Barnard R. W., A note on Turan type and mean inequalities for the Kummer function

 

Belogrivov I. I., On transcendence and algebraic independence of the values of Kummer s functions


Berndt B. C., et all, Koshliakov s formula and Guinand s formula in Ramanujan s lost Notebook

   

Bernstein I. B., Greene J. M., Kruskal M. D., Exact Nonlinear Plasma Oscillations


M. V. Berry J. P. Keating H=xp and the Riemann zeros.pdf

    

Bohm D., Wholeness and the Implicate Order


Bump D.,Ng E., On Riemann s Zeta Function

The Riemann Zeros and Eigenvalue Asymptotics, SIAM REVIEW, Vol. 41, No. 2, pp. 236-266

   

Blower G., Chen Y., Kernels and point processes associated with Whittaker functions


M. Boecher On Gibb's Phenomenon.pdf


I. Bogdanova et al Wavelets on the 2-Hyperboloid.pdf

     

Bohm D., Wholeness and the Implicate Order

  

Braun K., Hilbert transformation, Gaussian and Dawson function, and the Harmonic Quantum Oscillator Model
 

  

Braun K., Some remarkable Pseudo-Differential Operators of order -1, 0, 1

   

Braun K.,The Prandtl (hyper singular integral) operator with double layer potential

   

Braun K. Generalized wavelet theory and non-linear, non-periodic boundary value problems


Braun K. , A new ground state energy model

   

Braun K., A distributional Hilbert space framework to prove the Landau damping phenomenon
 

   

Braun K., An integrated electro-magnetic plasma field model

     

Braun K., Unusual Hilbert or Hoelder space frames for the elementary particles transport (Vlasov) equation
 


Braun K., A quantum gravity and ground state energy Hilbert space model


Braun K., Global existence and uniqueness of 3D Navier-Stokes equations

   

Braun K., Comparison table, math. modelling frameworks for SMEP and GUT

   

Bruneau L. et all, Homogeneous Schroedinger Operators on Half-Line

      

Cao J., DeTurck D., The Ricci Curvature Equation with Rotational Symmetry

    

Cao H.-D., Zhu X.-P., Hamilton-Perelman’s Proof of the Poincar´e Conjecture and the Geometrization Conjecture


Cardon Convolution operators and zeros of entire functions.pdf

     

Christoffel, E. B., Vollstandige Theorie der Riemann'schen Theta-Funktion

     

Christoffel E. B., Lehrsätze über arithmetische Eigenschaften der Irrationalzahlen


Chiang E. Y. M., Classical Analysis, Lecture Notes 2009



Ciufolini, Wheeler, Einstein Geometrodynamics



Chouly F., Heuer N., A Nitsche-based domain decomposition method for hypersingular integral equations

   

Connes A., An essay on the Riemann Hypothesis


R. Crandall On the quantum zeta funktion.pdf

         

Dai X., Lectures on Dirac Operators and Index Theory


Degond P., Spectral Theory of the Linearized Vlasov-Poisson Equation

  

Derezinski J., Richard S., On Radial Schroedinger Operators with a Coulomb Potential


D.Dickinson On Lommel and Bessel Polynomials


G. Doetsch Summatorische Eigenschaft der Bessel Fkt ....


Dritschel M. A., Rovnyak, J., Operators on indefinite inner product spaces


Duffin Weinberger Dualization Poisson Summation Formula.pdf

   

Ehrlich P., Contemporary infinitesimalist theories of continua and their late 19th- and early 20th-century forerunners

    

Einstein A., Ether and the theory of relativity

          

Einstein A., The meaning of relativity

      

Einstein A., Podolsky B., Rosen N., Can Quantum-Mechanical Description of Physical Reality Be Considered Complete

    

Elaissaoui L., et al, Relating log-tangent integrals with the Riemann zeta function

  

Elaissaoui L., et al., Evaluation of Log-tangent Integrals by series involving zeta(2n+1)


E. Elizalde Spectral Zeta Function for Spherical Aharonow-Bohm Quantum Bags

     

Fan K., Invariant subspaces of certain linear operators


Fichera G., Boundary Value Problems of Elasticity with Unilateral Constraints



C. Fox Solving integral equations by L and L(-1) operators.pdf


Friedrichs K. O., Ueber die Spektralzerlegung eines Integraloperators

     

Ganchev A. H., Greenberg W., A class of linear kinetic equations in a Krein space setting

  

Gallatin A., Isometric Immersions into Hyperbolic 3-Space


L. Garding The Mathematics of Wiener's Tauberian theorem.pdf


Gasper G., Rahman M., Basic Hypergeometric Series

    

Giga Y., Weak and Strong Solutions of the Navier-Stokes Initial Value Problem


K.Goedel An Example of a New Type of Cosmological Solutions of Einstein´s Field Equations of Gravitation.pdf


Grant F. C., Vlasov equation eigenvalues and eigenvectors for Fourier-Hermite dispersion matrices of order greater than 1000

     

Greenlee W. M., A quadratic eigenvalue problem


C. Fox Solving integral equations by L and L(-1) operators.pdf


Grigorev, Y., An analytical solution of the ill-posed Cauchy problem for Lame equation in a rectangle




H. Hamburger Ueber einige Beziehungen die mit Funktionalgleichung der Riemann schen Zeta Funktion aequivalent sind.pdf



Hauray M., Mean field limit for the one dimensional Vlasov-Poisson equation



Heidegger M., Off the Beaten Track



Heidegger M.,The Origin of the Work of Art
 

   

Heidegger M., Der Spruch des Anaximander

    

Hamilton R. S., Non-singular solutions of the Ricci flow on three-manifolds


E. Hellinger Zur Stieltjesschen Kettenbruchtheorie.pdf.pdf


Higgs P. W., Spontaneous Symmetry Breakdown without Massless Bosons

    

Horvath A. G., Semi-indefinite-inner-product and generalized Minkowski spaces

 

P. Humbert Bessel-integral functions.pdf

    

Ikebe T., Eigenfunction Expansions Associated with the Scbroedinger Operators and their Applications to Scattering Tbeory 

  

Iokhvidov I. S., Krein M. G., Spectral theory of operators in space with indefinite metric


Isichenko M. B., Nonlinear Landau damping in collisionless plsma and inviscid fluid



Karp D., Sitnik S. M., Log-convexity and log-concavity of hypergeometric-like functions



A. Kilicman A note on Mellin transform and distributions.pdf


A. Kilicman A note on the convolution in the Mellin sense with generalized functions.pdf

   

Kleiner B., Lott J., Notes on Perelman s papers


Kolb E., Wolfram S., Spontaneous symmetry breaking and the expansion rate of the early universe


Komatsu T., Hurwitz continued fractions with confluent hypergeometric functions


Koppelmann W., Pincus J. V., Spectral Representations of finite Hilbert transformations


Kowalenko V., Frankel N. E., Asymptotics for the Kummer function of Bose Plasmas


Koppelmann W., On the spectral theory of singular integral Operators

      

Kraus W., Das Wesen des Unendlichen bei Anaximander


G. Lachaud Spectral analysis and the Riemann hypothesis.pdf


Landau E., Ueber eininge aeltere Vermutungen und Behauptungen in der Primzahltheorie

    

LeFloch P. G., Ma Y., The global nonlinear stability of Minkowski space


Liu Y. et al., Commutators of Calderon-Zagmund operators related to admissible functions on spaces of homogeneous type and applications to Schroedinger operators


J.Lewis C. Parenti Pseudodifferential operators and Hardy kernels on L(p).pdf


Lifanov, I. K., Nenashev A. S., Generalized functions on Hilbert spaces, singular integral equations, and problems of aerodynamics and electrodynamics

    

Lundberg L.-E., Spectral and Scattering Theory for the Klein-Gordon Equation 

    

Lu Wei-Jun, Evolution equations of curvature tensors along the hyperbolic geometric flow

   

Martelli B., Hyperbolic geometry, surfaces, and 3-manifolds

   

Mason S. J., Zimmermann H. J., Electronic Circuit Theory


McMullen C., Riemann surfaces and the geometrization of 3-manifolds

                       

McMullen C., Complex Analysis


McCabe J. H., A Continued Fraction Expansion, with a Trunction Error Estimate, for Dawson s Integral


H. Mellin Abriss einer einheitlichen Theorie der Gamma und hypergeometrischen Fktn

      

Mikosch T., Regular Variation, Subexponentiality and Their Applications

    

Morgan J. W., Tian G., Ricci Flow and the Poincare Conjecture

        

Morse M., The calculus of variations in the large

       

Morse M., Functional topology and abstract variational theory

     

Lecture Notes, Minimal Surfaces and Plateau s Problem


N. Nielsen Handbuch der Theorie der Gammafunktion I.pdf

 

 N. Nielsen Handbuch der Theorie der Gammafunktion II.pdf

      

Nitsche J. A., lecture notes, approximation theory in Hilbert scales


     

Nitsche J. A., lecture notes, approximation theory in Hilbert scales, extensions and generalizations
 


Niven I., An Introduction to the Theory of Numbers


Niven I., Numbers, Rational and Irrational

(PeH) Peitgen H.-O., Saupe D., The Science of Fractal Images, Springer Verlag, New York, Berlin, Heidelberg, London, Paris, Tokyo

     

Olver F., Lozier D., Boisvert R, Clark C., NIST Handbook of Mathematical Functions


Oswald P., On Besov Hardy Sobolev spaces of analytic functions in the unit disk


Parker J. T., Dellar P. J., Fourier-Hermite spectral representation for the Vlasov-Poisson system in the weakly collisional limit

   

Perel M., Gorodnitskiy E., Representations of solutions of the wave equation based on relativistic wavelet

   

Perelman G. The entropy formula for the Ricci flow and its geometric applications


   

Perelman G., Finite exstinction time for the solutions to the Ricci flow on certain three-manifolds


  

Perelman G., Ricci flow with surgery on three-manifolds


Perron O., Die Lehre von den Kettenbrüchen, Bd. II

          

Phillips, R. S., Dissipative operators and hyperbolic systems of partial differential equations


Pollack, D., Initial Data for the Cauchy Problem in General Relativity, lecture 1



Pollack D. Initial data for the Cauchy Problem in General Relativity, Lecture 2



Pollack, D., Initial Data for the Cauchy Problem in General Relativity, lecture 3



Pollack, D., Initial Data for the Cauchy Problem in General Relativity, lecture 4



Pollack, D., Initial Data for the Cauchy Problem in general Relativity, references
 

S. Pilipovic, B. Stankovic Tauberian Theorems for Integral Transforms of Distributions.pdf

   

Pilipovic S., Stankovic B., Wiener Tauberian theorems for distributions

            

Pitcher E., INEQUALITIES OF CRITICAL POINT THEORY


Polya Trigonometrische Integrale mit nur reellen NS
 


Polya 's theorem


Polya G., Wiener N., On the Oscillation of the Derivative of a Period Function


Riesz F., Sure certains systems d equations fonctionnelles et l approximation des fonctions continues

   

Roberts J. T., Leibniz on Force and Absolute Motion


B. Rubin E. Shamir Calderon´s reproducing formula and singular integral operators on a real line.pdf

   

Ruskai M. B., Werner E., Study of a Class Regularitzations of 1,x using Gaussian Integrals

(SaM) Sautoy Du, Marcus, Why an Unsolved Problem in Mathematics Matters, 2003, Die Musik der Primzahlen, 2004, DTV, 2004

 

Scott P., The geometries of 3-manifolds


Schafheitlin P., Ueber die Integraldarstellung der allgemeineren hypergeometrischen Reihe


P. Schafleitlin Ueber die Darstellung der hypergeometrischen Reihe durch ein bestimmtes Integral.pdf


Schnee W., Die Funktionalgleichung der Zetafunktion und der Dirichletschen Reihen mit periodischen Koeffizienten


Schneider Th., Transzendenzuntersuchungen periodischer Funktionen II.pdf

  

Schulz W., Ueber die Galoissche Gruppe der Hermiteschen Polynome

  

Serrin J., Mathematical Principles of Classical Fluid Mechanics


Shestakov I., V., Shlapunov A. A., On the Cauchy Problem for Operators with Injective Symbols in Sobolev Spaces




Schur J., Affektlose Gleichnugen in der Theorie der Laguerreschen und Hermiteschen Polynome

  

Shimoji M., Complementary variational formulation of Maxwell s equations in power series form


Schwartz J., Some results on the spectra and spectral resolutions of a class of singular integral Operators


E. Shamir Reduced Hilbert transforms and singular integral equations.pdf

         

Siegel C. L., Lectures on Advanced Analytical Number Theory


Siegel C. L., Transcendental Numbers, Princeton University Press, 1949


Siegel C. L., Ueber einige Anwendungen diophantischer Approximationen 1


Siegel C. L., Ueber einige Anwendungen diophantischer Approximationen 2


Siegel C. L., Ueber einige Anwendungen diophantischer Approximationen 3

   

Sierra G., The Riemann zeros as spectrum and the Riemann hypothesis

   

Sondow J., Double Integrals for Euler s Constant and log( four divided pi) nd an Analog of Hadjicostas s Formula

   

Soundarajan K., Transcendental Number Theory.pdf


N. Sonine Recherches sur les fonctions cylindriques et le developpement des fonctions continues en series.pdf



Stern A. et. al., Variational Integrators for Maxwell s Equations with Sources

   

Stein E. M., Conjugate harmonic functions in several variables

   

Thorne K., Geometrodynamics, exploring the nonlinear dynamics of curved spacetime ....

       

Thurston W. P., Three Dimensional Manifolds, Kleinian Groups and Hyperbolic Geometry

    

Treder H.-J., Singularitaten in der Allgemeinen Relativitatstheorie

           

Vacaro S., Spinors and spacetime anisotropy

   

Vindas J., Local Behavior of Distributions and Applications


   

Vindas J., Introduction to Tauberian theory, A distributional approach
 

   

Vindas J., Estrada R., A quick distributional way to the prime number theorem


   


Villani C., lecture notes on Landau damping


(VoR) Voss R.F., Clarke, J., 1/f noise in Music and speech, Nature 258 (1975) 317-318

(VoR1) Voss R. F., 1/f (flicker) noise: A brief Review, Proc. 32rd Annual Symposium on Frequency Control, Atlantic City, (1979) 40-46

     

Weiss J., The Hilbert Transform of Wavelets are Wavelets

      

Whittaker J. M., The Fourier Theory of the Cardinal Funxtion

      

Whittaker J. M., On the Cardinal Function of Interpolation Theory


H. Weyl Singuläre Integralgleichungen.pdf

     

Weyl H., Matter, structure of the world, principle of action

   

Weyl H., Space, Time, Matter, introduction.pdf


Weyl H., Das Kontinuum, Eine kritische Untersuchung ueber die Grundlagen der Analysis


Wheeler J. A., On the Nature of Quantum Geometrodynamics

  

Wise D. K., Geometrodynamics and Lorentz symmetry

   

Wolfart J., Werte hypergeometrischer Funktionen


Zhechev B., Hilbert Transform Relations


Lions P. L., On Boltzmann and Landau equations
 

Lions P. L., Compactness in Boltzmann s Fourier integral operators and applications


Montagnini B., The eigenvalue spectrum of the linear Boltzmann operator in L(1)(R(6)) and L(2)(R(6))



Vidav I., Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator



Aziz A. K.,, Kellogg R. B., Finite element analysis of a scattering problem, scattering



Berry M. V., Riemann s Zeta function, a model for quantum chaos

 

Conrad K., Probability distributions and maximum entropy



Marsh C., Introduction to Continuous Entropy



Willett D., Wong J. S. W., On the discrete Analogues of Some Generalizations of Gronwall s Inequality



Ibrahim H., A Generalization of a Logarithmic Sobolev Inequality to the Hoelder Class



Brauer F., Bounds for solutions of ordinary differential equations



Krall A. M., Spectral Analysis for the Generalized Hermite Polynomials



Lakshmikantham V., Upper and lower bounds of the norm of solutions of differential systems



Langenhop C. E., Bounds on the norm of a solution of a general differential equation



Wong W.-C., Kant s Conception of Ether as a Field, in the Opus posthumum


     

Ye R., Ricci Flow, Einstein Metrics and Space Forms

  

Zbiral G., Dark matter and dark energy as a derivate from cosmic photon radiation


  

Zbiral G., Does Gravitation Have an Influence on Electromagnetism

 

Zbiral G., the dynamic gravitation of photons from the perspective of Maxwell s wave equations